(%i1) batch("diffeq.max")
read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max
(%i2) load("stringproc")
(%o2) /usr/share/maxima/5.31.3/share/stringproc/stringproc.mac
(%i3) alias(convfloat,float)
(%o3) [convfloat]
(%i4) alias(int_trunc,truncate)
(%o4) [truncate]
(%i5) alias(elapsed_time_seconds,elapsed_real_time)
(%o5) [elapsed_time_seconds]
(%i6) alias(ln,log)
(%o6) [log]
(%i7) alias(arcsin,asin)
(%o7) [asin]
(%i8) alias(arccos,acos)
(%o8) [acos]
(%i9) alias(arctan,atan)
(%o9) [atan]
(%i10) alias(float_abs,abs)
(%o10) [mabs]
(%i11) keepfloat:true
(%o11) true
(%i12) mode_declare(display_poles(),fixnum)
(%o12) [display_poles()]
(%i13) mode_declare(est_size_answer(),convfloat)
(%o13) [est_size_answer()]
(%i14) mode_declare(test_suggested_h(),convfloat)
(%o14) [test_suggested_h()]
(%i15) mode_declare(reached_interval(),boolean)
(%o15) [reached_interval()]
(%i16) mode_declare(display_alot([iter],fixnum),fixnum)
(%o16) [display_alot([iter], fixnum)]
(%i17) mode_declare(adjust_for_pole([h_param],convfloat),convfloat)
(%o17) [adjust_for_pole([h_param], convfloat)]
(%i18) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum)
(%o18) [prog_report([x_start], convfloat, [x_end], convfloat)]
(%i19) mode_declare(check_for_pole(),fixnum)
(%o19) [check_for_pole()]
(%i20) mode_declare(atomall(),fixnum)
(%o20) [atomall()]
(%i21) mode_declare(log10([x],convfloat),convfloat)
(%o21) [log10([x], convfloat)]
(%i22) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum)
(%o22) [logitem_timestr([fd], fixnum, [secs_in], number)]
(%i23) mode_declare(omniout_timestr(secs_in,number),fixnum)
(%o23) [omniout_timestr(secs_in, number)]
(%i24) mode_declare(zero_ats_ar(ar,array([MAX_TERMS],convfloat)),fixnum)
(%o24) [zero_ats_ar(ar, array([MAX_TERMS], convfloat))]
(%i25) mode_declare(ats([mmm_ats],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_ats],
fixnum),convfloat)
(%o25) [ats([mmm_ats], fixnum, [arr_a], completearray([MAX_TERMS], convfloat),
[arr_b], completearray([MAX_TERMS], convfloat), [jjj_ats], fixnum)]
(%i26) mode_declare(att([mmm_att],fixnum,[arr_a],
completearray([MAX_TERMS],convfloat),[arr_b],
completearray([MAX_TERMS],convfloat),[jjj_att],
fixnum),convfloat)
(%o26) [att([mmm_att], fixnum, [arr_a], completearray([MAX_TERMS], convfloat),
[arr_b], completearray([MAX_TERMS], convfloat), [jjj_att], fixnum)]
(%i27) mode_declare(logitem_ditto([file],fixnum),fixnum)
(%o27) [logitem_ditto([file], fixnum)]
(%i28) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum)
(%o28) [logitem_integer([file], fixnum, [n], fixnum)]
(%i29) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum)
(%o29) [logitem_good_digits([file], fixnum, [relerror], convfloat)]
(%i30) mode_declare(logitem_number([file],fixnum,[x],number),fixnum)
(%o30) [logitem_number([file], fixnum, [x], number)]
(%i31) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum)
(%o31) [logitem_pole([file], fixnum, [pole], fixnum)]
(%i32) mode_declare(logstart([file],fixnum),fixnum)
(%o32) [logstart([file], fixnum)]
(%i33) mode_declare(logend([file],fixnum),fixnum)
(%o33) [logend([file], fixnum)]
(%i34) mode_declare(chk_data(),fixnum)
(%o34) [chk_data()]
(%i35) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat,
[t2],convfloat,[clock_sec2],convfloat),
convfloat)
(%o35) [comp_expect_sec([t_end2], convfloat, [t_start2], convfloat, [t2],
convfloat, [clock_sec2], convfloat)]
(%i36) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2],
convfloat),convfloat)
(%o36) [comp_percent([t_end2], convfloat, [start2], convfloat, [t2],
convfloat)]
(%i37) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%o37) [comp_rad_from_ratio([term1], convfloat, [term2], convfloat, [last_no],
fixnum)]
(%i38) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat,
[last_no],fixnum),convfloat)
(%o38) [comp_ord_from_ratio([term1], convfloat, [term2], convfloat, [last_no],
fixnum)]
(%i39) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%o39) [comp_rad_from_three_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [last_no], fixnum)]
(%i40) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[last_no],fixnum),convfloat)
(%o40) [comp_ord_from_three_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [last_no], fixnum)]
(%i41) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%o41) [comp_rad_from_six_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [term4], convfloat, [term5], convfloat, [term6],
convfloat, [last_no], fixnum)]
(%i42) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2],
convfloat,[term3],convfloat,
[term4],convfloat,[term5],
convfloat,[term6],convfloat,
[last_no],fixnum),convfloat)
(%o42) [comp_ord_from_six_terms([term1], convfloat, [term2], convfloat,
[term3], convfloat, [term4], convfloat, [term5], convfloat, [term6],
convfloat, [last_no], fixnum)]
(%i43) mode_declare(factorial_2([nnn],fixnum),fixnum)
(%o43) [factorial_2([nnn], fixnum)]
(%i44) mode_declare(factorial_1([nnn],fixnum),fixnum)
(%o44) [factorial_1([nnn], fixnum)]
(%i45) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),fixnum)
(%o45) [factorial_3([mmm], fixnum, [nnn], fixnum)]
(%i46) mode_declare(convfloat([mmm],fixnum),convfloat)
(%o46) [convfloat([mmm], fixnum)]
(%i47) mode_declare(elaped_time_seconds(),convfloat)
(%o47) [elaped_time_seconds()]
(%i48) mode_declare(Si([x],convfloat),convfloat)
(%o48) [Si([x], convfloat)]
(%i49) mode_declare(Ci([x],convfloat),convfloat)
(%o49) [Ci([x], convfloat)]
(%i50) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end],
convfloat,[estimated_h],
convfloat,[estimated_answer],
convfloat),convfloat)
(%o50) [estimated_needed_step_error([x_start], convfloat, [x_end], convfloat,
[estimated_h], convfloat, [estimated_answer], convfloat)]
(%i51) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat)
(%o51) [my_check_sign([x0], convfloat, [xf], convfloat)]
(%i52) mode_declare(main_prog(),fixnum)
(%o52) [main_prog()]
(%i53) define_variable(MAX_TERMS,30,fixnum)
(%o53) 30
(%i54) define_variable(glob_iolevel,5,fixnum)
(%o54) 5
(%i55) define_variable(glob_yes_pole,4,fixnum)
(%o55) 4
(%i56) define_variable(glob_no_pole,3,fixnum)
(%o56) 3
(%i57) define_variable(glob_not_given,0,fixnum)
(%o57) 0
(%i58) define_variable(glob_no_sing_tests,4,fixnum)
(%o58) 4
(%i59) define_variable(glob_ratio_test,1,fixnum)
(%o59) 1
(%i60) define_variable(glob_three_term_test,2,fixnum)
(%o60) 2
(%i61) define_variable(glob_six_term_test,3,fixnum)
(%o61) 3
(%i62) define_variable(glob_log_10,log(10.0),convfloat)
(%o62) 2.302585092994046
(%i63) define_variable(ALWAYS,1,fixnum)
(%o63) 1
(%i64) define_variable(INFO,2,fixnum)
(%o64) 2
(%i65) define_variable(DEBUGL,3,fixnum)
(%o65) 3
(%i66) define_variable(DEBUGMASSIVE,4,fixnum)
(%o66) 4
(%i67) define_variable(MAX_UNCHANGED,10,fixnum)
(%o67) 10
(%i68) define_variable(glob_check_sign,1.0,convfloat)
(%o68) 1.0
(%i69) define_variable(glob_desired_digits_correct,8.0,convfloat)
(%o69) 8.0
(%i70) define_variable(glob_max_estimated_step_error,0.0,convfloat)
(%o70) 0.0
(%i71) define_variable(glob_ratio_of_radius,0.1,convfloat)
(%o71) 0.1
(%i72) define_variable(glob_percent_done,0.0,convfloat)
(%o72) 0.0
(%i73) define_variable(glob_subiter_method,3,fixnum)
(%o73) 3
(%i74) define_variable(glob_total_exp_sec,0.1,convfloat)
(%o74) 0.1
(%i75) define_variable(glob_optimal_expect_sec,0.1,convfloat)
(%o75) 0.1
(%i76) define_variable(glob_estimated_size_answer,100.0,convfloat)
(%o76) 100.0
(%i77) define_variable(glob_html_log,true,boolean)
(%o77) true
(%i78) define_variable(glob_good_digits,0,fixnum)
(%o78) 0
(%i79) define_variable(glob_max_opt_iter,10,fixnum)
(%o79) 10
(%i80) define_variable(glob_dump,false,boolean)
(%o80) false
(%i81) define_variable(glob_djd_debug,true,boolean)
(%o81) true
(%i82) define_variable(glob_display_flag,true,boolean)
(%o82) true
(%i83) define_variable(glob_djd_debug2,true,boolean)
(%o83) true
(%i84) define_variable(glob_sec_in_minute,60,fixnum)
(%o84) 60
(%i85) define_variable(glob_min_in_hour,60.0,convfloat)
(%o85) 60.0
(%i86) define_variable(glob_hours_in_day,24.0,convfloat)
(%o86) 24.0
(%i87) define_variable(glob_days_in_year,365,fixnum)
(%o87) 365
(%i88) define_variable(glob_sec_in_hour,3600,fixnum)
(%o88) 3600
(%i89) define_variable(glob_sec_in_day,86400,fixnum)
(%o89) 86400
(%i90) define_variable(glob_sec_in_year,31536000,fixnum)
(%o90) 31536000
(%i91) define_variable(glob_almost_1,0.999,convfloat)
(%o91) 0.999
(%i92) define_variable(glob_clock_sec,0.0,convfloat)
(%o92) 0.0
(%i93) define_variable(glob_clock_start_sec,0.0,convfloat)
(%o93) 0.0
(%i94) define_variable(glob_not_yet_finished,true,boolean)
(%o94) true
(%i95) define_variable(glob_initial_pass,true,boolean)
(%o95) true
(%i96) define_variable(glob_not_yet_start_msg,true,boolean)
(%o96) true
(%i97) define_variable(glob_reached_optimal_h,false,boolean)
(%o97) false
(%i98) define_variable(glob_optimal_done,false,boolean)
(%o98) false
(%i99) define_variable(glob_disp_incr,0.1,convfloat)
(%o99) 0.1
(%i100) define_variable(glob_h,0.1,convfloat)
(%o100) 0.1
(%i101) define_variable(glob_diff_rc_fm,0.1,convfloat)
(%o101) 0.1
(%i102) define_variable(glob_diff_rc_fmm1,0.1,convfloat)
(%o102) 0.1
(%i103) define_variable(glob_diff_rc_fmm2,0.1,convfloat)
(%o103) 0.1
(%i104) define_variable(glob_diff_ord_fm,0.1,convfloat)
(%o104) 0.1
(%i105) define_variable(glob_diff_ord_fmm1,0.1,convfloat)
(%o105) 0.1
(%i106) define_variable(glob_diff_ord_fmm2,0.1,convfloat)
(%o106) 0.1
(%i107) define_variable(glob_six_term_ord_save,0.1,convfloat)
(%o107) 0.1
(%i108) define_variable(glob_guess_error_rc,0.1,convfloat)
(%o108) 0.1
(%i109) define_variable(glob_guess_error_ord,0.1,convfloat)
(%o109) 0.1
(%i110) define_variable(glob_max_h,0.1,convfloat)
(%o110) 0.1
(%i111) define_variable(glob_min_h,1.0E-6,convfloat)
(%o111) 1.0E-6
(%i112) define_variable(glob_type_given_pole,0,fixnum)
(%o112) 0
(%i113) define_variable(glob_large_float,1.0E+100,convfloat)
(%o113) 1.0E+100
(%i114) define_variable(glob_larger_float,1.1E+100,convfloat)
(%o114) 1.1E+100
(%i115) define_variable(glob_least_given_sing,9.9E+100,convfloat)
(%o115) 9.9E+100
(%i116) define_variable(glob_least_ratio_sing,9.9E+100,convfloat)
(%o116) 9.9E+100
(%i117) define_variable(glob_least_3_sing,9.9E+100,convfloat)
(%o117) 9.9E+100
(%i118) define_variable(glob_least_6_sing,9.9E+100,convfloat)
(%o118) 9.9E+100
(%i119) define_variable(glob_last_good_h,0.1,convfloat)
(%o119) 0.1
(%i120) define_variable(glob_look_poles,false,boolean)
(%o120) false
(%i121) define_variable(glob_neg_h,false,boolean)
(%o121) false
(%i122) define_variable(glob_display_interval,0.0,convfloat)
(%o122) 0.0
(%i123) define_variable(glob_next_display,0.0,convfloat)
(%o123) 0.0
(%i124) define_variable(glob_dump_analytic,false,boolean)
(%o124) false
(%i125) define_variable(glob_abserr,1.0E-11,convfloat)
(%o125) 1.0E-11
(%i126) define_variable(glob_relerr,1.0E-11,convfloat)
(%o126) 1.0E-11
(%i127) define_variable(glob_min_pole_est,1.0E+9,convfloat)
(%o127) 1.0E+9
(%i128) define_variable(glob_max_hours,0.0,convfloat)
(%o128) 0.0
(%i129) define_variable(glob_max_iter,1000,fixnum)
(%o129) 1000
(%i130) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat)
(%o130) 1.0E-11
(%i131) define_variable(glob_max_trunc_err,1.0E-11,convfloat)
(%o131) 1.0E-11
(%i132) define_variable(glob_no_eqs,0,fixnum)
(%o132) 0
(%i133) define_variable(glob_optimal_clock_start_sec,0.0,convfloat)
(%o133) 0.0
(%i134) define_variable(glob_optimal_start,0.0,convfloat)
(%o134) 0.0
(%i135) define_variable(glob_upper_ratio_limit,1.0001,convfloat)
(%o135) 1.0001
(%i136) define_variable(glob_lower_ratio_limit,0.9999,convfloat)
(%o136) 0.9999
(%i137) define_variable(glob_small_float,0.0,convfloat)
(%o137) 0.0
(%i138) define_variable(glob_smallish_float,0.0,convfloat)
(%o138) 0.0
(%i139) define_variable(glob_unchanged_h_cnt,0,fixnum)
(%o139) 0
(%i140) define_variable(glob_warned,false,boolean)
(%o140) false
(%i141) define_variable(glob_warned2,false,boolean)
(%o141) false
(%i142) define_variable(glob_max_sec,10000.0,convfloat)
(%o142) 10000.0
(%i143) define_variable(glob_orig_start_sec,0.0,convfloat)
(%o143) 0.0
(%i144) define_variable(glob_start,0,fixnum)
(%o144) 0
(%i145) define_variable(glob_curr_iter_when_opt,0,fixnum)
(%o145) 0
(%i146) define_variable(glob_current_iter,0,fixnum)
(%o146) 0
(%i147) define_variable(glob_iter,0,fixnum)
(%o147) 0
(%i148) define_variable(glob_normmax,0.0,convfloat)
(%o148) 0.0
(%i149) define_variable(glob_max_minutes,0.0,convfloat)
(%o149) 0.0
(%i150) array(array_y_init,MAX_TERMS)
(%o150) array_y_init
(%i151) array(array_norms,MAX_TERMS)
(%o151) array_norms
(%i152) array(array_fact_1,MAX_TERMS)
(%o152) array_fact_1
(%i153) array(array_1st_rel_error,2)
(%o153) array_1st_rel_error
(%i154) array(array_last_rel_error,2)
(%o154) array_last_rel_error
(%i155) array(array_type_pole,2)
(%o155) array_type_pole
(%i156) array(array_type_real_pole,2)
(%o156) array_type_real_pole
(%i157) array(array_type_complex_pole,2)
(%o157) array_type_complex_pole
(%i158) array(array_y,MAX_TERMS)
(%o158) array_y
(%i159) array(array_x,MAX_TERMS)
(%o159) array_x
(%i160) array(array_tmp0,MAX_TERMS)
(%o160) array_tmp0
(%i161) array(array_tmp1_g,MAX_TERMS)
(%o161) array_tmp1_g
(%i162) array(array_tmp1,MAX_TERMS)
(%o162) array_tmp1
(%i163) array(array_tmp2,MAX_TERMS)
(%o163) array_tmp2
(%i164) array(array_tmp3,MAX_TERMS)
(%o164) array_tmp3
(%i165) array(array_m1,MAX_TERMS)
(%o165) array_m1
(%i166) array(array_y_higher,2,MAX_TERMS)
(%o166) array_y_higher
(%i167) array(array_y_higher_work,2,MAX_TERMS)
(%o167) array_y_higher_work
(%i168) array(array_y_higher_work2,2,MAX_TERMS)
(%o168) array_y_higher_work2
(%i169) array(array_y_set_initial,2,MAX_TERMS)
(%o169) array_y_set_initial
(%i170) array(array_given_rad_poles,2,3)
(%o170) array_given_rad_poles
(%i171) array(array_given_ord_poles,2,3)
(%o171) array_given_ord_poles
(%i172) array(array_rad_test_poles,2,3)
(%o172) array_rad_test_poles
(%i173) array(array_ord_test_poles,2,3)
(%o173) array_ord_test_poles
(%i174) array(array_fact_2,MAX_TERMS,MAX_TERMS)
(%o174) array_fact_2
(%i175) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%o175) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i176) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%o176) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i177) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%o177) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i178) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (if vallen = 4
then printf(true,"~a = ~g ~s ~%",prelabel,
value,postlabel)
else printf(true,"~a = ~g ~s ~%",prelabel,
value,postlabel))
(%o178) omniout_float(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (if vallen = 4
then printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel)
else printf(true, "~a = ~g ~s ~%", prelabel, value, postlabel))
(%i179) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%o179) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i180) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%o180) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i181) logitem_time(fd,secs_in):=(
block(mode_declare(
[[days_int,hours_int,minutes_int,sec_int,
years_int],fixnum,[secs,secs_temp],convfloat]),
secs:secs_in,printf(fd,"
~%"),
if secs >= 0
then (years_int
:truncate(secs/glob_sec_in_year),
sec_temp
:mod(truncate(secs),
truncate(glob_sec_in_year)),
days_int
:truncate(sec_temp/glob_sec_in_day),
sec_temp
:mod(sec_temp,
truncate(glob_sec_in_day)),
hours_int
:truncate(sec_temp/glob_sec_in_hour),
sec_temp
:mod(sec_temp,
truncate(glob_sec_in_hour)),
minutes_int
:truncate(sec_temp/glob_sec_in_minute),
sec_int
:mod(sec_temp,
truncate(glob_sec_in_minute)),
if truncate(years_int) > 0.1
then printf(fd,
"~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%",
years_int,days_int,
hours_int,minutes_int,
sec_int)
elseif days_int > 0.1
then printf(fd,
"~d Days ~d Hours ~d Minutes ~d Seconds~%",
days_int,hours_int,
minutes_int,sec_int)
elseif hours_int > 0.1
then printf(fd,
"~d Hours ~d Minutes ~d Seconds~%",
hours_int,minutes_int,
sec_int)
elseif minutes_int > 0.1
then printf(fd,
"~d Minutes ~d Seconds~%",
minutes_int,sec_int)
else printf(fd,"~d Seconds~%",
sec_int))
else printf(fd," 0.0 Seconds~%"),
printf(fd," | ~%")),0)
(%o181) logitem_time(fd, secs_in) := (block(mode_declare([[days_int,
hours_int, minutes_int, sec_int, years_int], fixnum, [secs, secs_temp],
convfloat]), secs : secs_in, printf(fd, "~%"),
secs
if secs >= 0 then (years_int : truncate(----------------),
glob_sec_in_year
sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)),
sec_temp
days_int : truncate(---------------), sec_temp :
glob_sec_in_day
mod(sec_temp, truncate(glob_sec_in_day)),
sec_temp
hours_int : truncate(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)),
sec_temp
minutes_int : truncate(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, truncate(glob_sec_in_minute)),
if truncate(years_int) > 0.1 then printf(fd,
"~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0.1
then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0.1
then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int, minutes_int,
sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%",
minutes_int, sec_int) else printf(fd, "~d Seconds~%", sec_int))
else printf(fd, " 0.0 Seconds~%"), printf(fd, " | ~%")), 0)
(%i182) omniout_timestr(secs_in):=(
block(mode_declare(
[[days_int,hours_int,minutes_int,sec_int,
years_int],fixnum,[secs,secs_temp],
convfloat]),secs:secs_in,
if secs >= 0
then (
years_int:truncate(secs/glob_sec_in_year),
sec_temp
:mod(truncate(secs),
truncate(glob_sec_in_year)),
days_int:truncate(sec_temp/glob_sec_in_day),
sec_temp
:mod(sec_temp,truncate(glob_sec_in_day)),
hours_int
:truncate(sec_temp/glob_sec_in_hour),
sec_temp
:mod(sec_temp,truncate(glob_sec_in_hour)),
minutes_int
:truncate(sec_temp/glob_sec_in_minute),
sec_int
:mod(sec_temp,
truncate(glob_sec_in_minute)),
if years_int > 0
then printf(true,
"= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%",
years_int,days_int,
hours_int,minutes_int,
sec_int)
elseif days_int > 0.1
then printf(true,
"= ~d Days ~d Hours ~d Minutes ~d Seconds~%",
days_int,hours_int,
minutes_int,sec_int)
elseif hours_int > 0.1
then printf(true,
"= ~d Hours ~d Minutes ~d Seconds~%",
hours_int,minutes_int,
sec_int)
elseif minutes_int > 0.1
then printf(true,
"= ~d Minutes ~d Seconds~%",
minutes_int,sec_int)
else printf(true,"= ~d Seconds~%",
sec_int))
else printf(true,"= 0.0 Seconds~%")),0)
(%o182) omniout_timestr(secs_in) := (block(mode_declare([[days_int, hours_int,
minutes_int, sec_int, years_int], fixnum, [secs, secs_temp], convfloat]),
secs
secs : secs_in, if secs >= 0 then (years_int : truncate(----------------),
glob_sec_in_year
sec_temp : mod(truncate(secs), truncate(glob_sec_in_year)),
sec_temp
days_int : truncate(---------------), sec_temp :
glob_sec_in_day
mod(sec_temp, truncate(glob_sec_in_day)),
sec_temp
hours_int : truncate(----------------),
glob_sec_in_hour
sec_temp : mod(sec_temp, truncate(glob_sec_in_hour)),
sec_temp
minutes_int : truncate(------------------),
glob_sec_in_minute
sec_int : mod(sec_temp, truncate(glob_sec_in_minute)),
if years_int > 0 then printf(true,
"= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int, days_int,
hours_int, minutes_int, sec_int) elseif days_int > 0.1
then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,
hours_int, minutes_int, sec_int) elseif hours_int > 0.1
then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,
minutes_int, sec_int) elseif minutes_int > 0.1
then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int, sec_int)
else printf(true, "= ~d Seconds~%", sec_int))
else printf(true, "= 0.0 Seconds~%")), 0)
(%i183) zero_ats_ar(arr_a):=(
block(modedcclare([iii],fixnum),iii:1,
while iii <= MAX_TERMS do
(arr_a[iii]:0.0,iii:1+iii)),0)
(%o183) zero_ats_ar(arr_a) := (block(modedcclare([iii], fixnum), iii : 1,
while iii <= MAX_TERMS do (arr_a : 0.0, iii : 1 + iii)), 0)
iii
(%i184) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block(
mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats],
convfloat]),ret_ats:0.0,
if jjj_ats <= mmm_ats
then (ma_ats:1+mmm_ats,iii_ats:jjj_ats,
while iii_ats <= mmm_ats do
(lll_ats:ma_ats-iii_ats,
if lll_ats <= MAX_TERMS and iii_ats <= MAX_TERMS
then ret_ats
:arr_a[iii_ats]*arr_b[lll_ats]+ret_ats,
iii_ats:1+iii_ats)),ret_ats)
(%o184) ats(mmm_ats, arr_a, arr_b, jjj_ats) :=
block(mode_declare([[iii_ats, lll_ats, ma_ats], fixnum, [ret_ats],
convfloat]), ret_ats : 0.0, if jjj_ats <= mmm_ats
then (ma_ats : 1 + mmm_ats, iii_ats : jjj_ats,
while iii_ats <= mmm_ats do (lll_ats : ma_ats - iii_ats,
if (lll_ats <= MAX_TERMS) and (iii_ats <= MAX_TERMS)
then ret_ats : arr_a arr_b + ret_ats, iii_ats : 1 + iii_ats)),
iii_ats lll_ats
ret_ats)
(%i185) att(mmm_att,arr_aa,arr_bb,jjj_att):=block(
mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att],
fixnum]),ret_att:0.0,
if jjj_att < mmm_att
then (ma_att:2+mmm_att,iii_att:jjj_att,
while iii_att < mmm_att and iii_att <= MAX_TERMS do
(lll_att:ma_att-iii_att,al_att:lll_att-1,
if lll_att <= MAX_TERMS and iii_att <= MAX_TERMS
then ret_att
:arr_aa[iii_att]*arr_bb[lll_att]*al_att
+ret_att,iii_att:1+iii_att),
ret_att:ret_att/mmm_att),ret_att)
(%o185) att(mmm_att, arr_aa, arr_bb, jjj_att) :=
block(mode_declare([[al_att, iii_att, lll_att, ma_att], convfloat, [ret_att],
fixnum]), ret_att : 0.0, if jjj_att < mmm_att
then (ma_att : 2 + mmm_att, iii_att : jjj_att,
while (iii_att < mmm_att) and (iii_att <= MAX_TERMS) do (lll_att :
ma_att - iii_att, al_att : lll_att - 1,
if (lll_att <= MAX_TERMS) and (iii_att <= MAX_TERMS)
then ret_att : arr_aa arr_bb al_att + ret_att,
iii_att lll_att
ret_att
iii_att : 1 + iii_att), ret_att : -------), ret_att)
mmm_att
(%i186) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%o186) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "), 0)
(%i187) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%o187) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "), 0)
(%i188) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%o188) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "), 0)
(%i189) logitem_good_digits(file,rel_error):=(
block(mode_declare([[good_digits],fixnum]),
printf(file,""),
if rel_error # -1.0
then (if rel_error > +1.0E-34
then (
good_digits
:3-floor(log10(rel_error)),
printf(file,"~d",good_digits))
else (good_digits:16,
printf(file,"~d",
good_digits)))
else printf(file,"Unknown"),
printf(file," | ")),0)
(%o189) logitem_good_digits(file, rel_error) :=
(block(mode_declare([[good_digits], fixnum]), printf(file, ""),
if rel_error # - 1.0 then (if rel_error > + 1.0E-34
then (good_digits : 3 - floor(log10(rel_error)),
printf(file, "~d", good_digits)) else (good_digits : 16,
printf(file, "~d", good_digits))) else printf(file, "Unknown"),
printf(file, " | ")), 0)
(%i190) log_revs(file,revs):=printf(file,revs)
(%o190) log_revs(file, revs) := printf(file, revs)
(%i191) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%o191) logitem_float(file, x) := (printf(file, ""),
printf(file, "~g", x), printf(file, " | "), 0)
(%i192) logitem_pole(file,pole):=(printf(file,""),
if pole = 0 then printf(file,"NA") elseif pole = 1
then printf(file,"Real") elseif pole = 2
then printf(file,"Complex") elseif pole = 4
then printf(file,"Yes") else printf(file,"No"),
printf(file," | "),0)
(%o192) logitem_pole(file, pole) := (printf(file, ""),
if pole = 0 then printf(file, "NA") elseif pole = 1 then printf(file, "Real")
elseif pole = 2 then printf(file, "Complex") elseif pole = 4
then printf(file, "Yes") else printf(file, "No"), printf(file, " | "), 0)
(%i193) logstart(file):=(printf(file,""),0)
(%o193) logstart(file) := (printf(file, "
"), 0)
(%i194) logend(file):=(printf(file,"
~%"),0)
(%o194) logend(file) := (printf(file, "~%"), 0)
(%i195) chk_data():=(
block(mode_declare([[errflag],boolean]),errflag:false,
if glob_max_iter < 2
then (omniout_str(ALWAYS,"Illegal max_iter"),
errflag:true),if errflag then quit()),0)
(%o195) chk_data() := (block(mode_declare([[errflag], boolean]),
errflag : false, if glob_max_iter < 2 then (omniout_str(ALWAYS,
"Illegal max_iter"), errflag : true), if errflag then quit()), 0)
(%i196) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block(
mode_declare([[ms2,rrr,sec_left,sub1,sub2],
convfloat]),ms2:clock_sec2,
sub1:t_end2-t_start2,sub2:t2-t_start2,
if sub1 = 0.0 then sec_left:0.0
else (if sub2 > 0.0
then (rrr:sub1/sub2,
sec_left:rrr*ms2-ms2)
else sec_left:0.0),sec_left)
(%o196) comp_expect_sec(t_end2, t_start2, t2, clock_sec2) :=
block(mode_declare([[ms2, rrr, sec_left, sub1, sub2], convfloat]),
ms2 : clock_sec2, sub1 : t_end2 - t_start2, sub2 : t2 - t_start2,
if sub1 = 0.0 then sec_left : 0.0 else (if sub2 > 0.0
sub1
then (rrr : ----, sec_left : rrr ms2 - ms2) else sec_left : 0.0), sec_left)
sub2
(%i197) comp_percent(t_end2,t_start2,t2):=block(
mode_declare([[rrr,sub1,sub2],convfloat]),
sub1:t_end2-t_start2,sub2:t2-t_start2,
if sub2 > glob_small_float then rrr:100.0*sub2/sub1
else rrr:0.0,rrr)
(%o197) comp_percent(t_end2, t_start2, t2) :=
block(mode_declare([[rrr, sub1, sub2], convfloat]), sub1 : t_end2 - t_start2,
100.0 sub2
sub2 : t2 - t_start2, if sub2 > glob_small_float then rrr : ----------
sub1
else rrr : 0.0, rrr)
(%i198) comp_rad_from_ratio(term1,term2,last_no):=(
if term2 > 0.0 then ret:abs(term1*glob_h/term2)
else ret:glob_larger_float,ret)
(%o198) comp_rad_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
(if term2 > 0.0 then ret : !------------! else ret : glob_larger_float, ret)
! term2 !
(%i199) comp_ord_from_ratio(term1,term2,last_no):=(
if term2 > 0.0
then ret
:abs(term2)*convfloat(last_no)
*log(abs(term1*glob_h/term2))
/log(convfloat(last_no))
+1.0 else ret:glob_larger_float,ret)
(%o199) comp_ord_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
mabs(term2) convfloat(last_no) log(!------------!)
! term2 !
(if term2 > 0.0 then ret : --------------------------------------------------
log(convfloat(last_no))
+ 1.0 else ret : glob_larger_float, ret)
(%i200) comp_rad_from_three_terms(term1,term2,term3,last_no):=(
temp:abs(
term1*term3
-term1*term3*convfloat(last_no)
-2.0*term2*term2
+term2*term2*convfloat(last_no)),
if temp > 0.0
then ret:abs(term2*glob_h*term1/temp)
else ret:glob_larger_float,ret)
(%o200) comp_rad_from_three_terms(term1, term2, term3, last_no) :=
(temp : mabs(term1 term3 - term1 term3 convfloat(last_no) - 2.0 term2 term2
+ term2 term2 convfloat(last_no)), if temp > 0.0
!term2 glob_h term1!
then ret : !------------------! else ret : glob_larger_float, ret)
! temp !
(%i201) comp_ord_from_three_terms(term1,term2,term3,last_no):=(
ret:abs(
(-term1*term3*convfloat(last_no*last_no)
+term2*term2*convfloat(last_no*last_no)
+4.0*term2*term2
-4.0*term2*term2*convfloat(last_no)
-3.0*term1*term3
+4.0*term1*term3*convfloat(last_no))
/(term1*term3
-term1*term3*convfloat(last_no)
-2.0*term2*term2
+term2*term2*convfloat(last_no))),ret)
(%o201) comp_ord_from_three_terms(term1, term2, term3, last_no) :=
(ret : mabs((- term1 term3 convfloat(last_no last_no)
+ term2 term2 convfloat(last_no last_no) + 4.0 term2 term2
- 4.0 term2 term2 convfloat(last_no) - 3.0 term1 term3
+ 4.0 term1 term3 convfloat(last_no))/(term1 term3
- term1 term3 convfloat(last_no) - 2.0 term2 term2
+ term2 term2 convfloat(last_no))), ret)
(%i202) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=
(
if term5 # 0.0 and term4 # 0.0 and term3 # 0.0
and term2 # 0.0 and term1 # 0.0
then (rm0:term6/term5,rm1:term5/term4,
rm2:term4/term3,rm3:term3/term2,
rm4:term2/term1,
nr1
:convfloat(last_no-3)*rm2
-2.0*convfloat(last_no-2)*rm1
+convfloat(last_no-1)*rm0,
nr2
:convfloat(last_no-4)*rm3
-2.0*convfloat(last_no-3)*rm2
+convfloat(last_no-2)*rm1,
dr1:(-1.0)/rm3+2.0/rm2+(-1.0)/rm1,
dr2:(-1.0)/rm4+2.0/rm3+(-1.0)/rm2,
ds1:5.0/rm3-8.0/rm2+3.0/rm1,
ds2:5.0/rm4-8.0/rm3+3.0/rm2,
if
abs(nr1*dr2-nr2*dr1) = 0.0
or abs(dr1) = 0.0
then (rad_c:glob_larger_float,
ord_no:glob_larger_float)
else (if
abs(nr1*dr2-nr2*dr1) # 0.0
then (
rcs
:(dr1*dr2-ds2*dr1+ds1*dr2)
/(nr1*dr2-nr2*dr1),
ord_no
:(rcs*nr1-ds1)/(2.0*dr1)
-convfloat(last_no)/2.0,
if abs(rcs) # 0.0
then (if rcs > 0.0
then rad_c
:sqrt(rcs)
*abs(glob_h)
else (
rad_c
:glob_larger_float,
ord_no
:glob_larger_float))
else (
rad_c:glob_larger_float,
ord_no:glob_larger_float))
else (rad_c:glob_larger_float,
ord_no:glob_larger_float)))
else (rad_c:glob_larger_float,
ord_no:glob_larger_float),
glob_six_term_ord_save:ord_no,rad_c)
(%o202) comp_rad_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := (if (term5 # 0.0) and (term4 # 0.0) and (term3 # 0.0)
term6 term5
and (term2 # 0.0) and (term1 # 0.0) then (rm0 : -----, rm1 : -----,
term5 term4
term4 term3 term2
rm2 : -----, rm3 : -----, rm4 : -----,
term3 term2 term1
nr1 : convfloat(last_no - 3) rm2 - 2.0 convfloat(last_no - 2) rm1
+ convfloat(last_no - 1) rm0, nr2 : convfloat(last_no - 4) rm3
- 2.0 convfloat(last_no - 3) rm2 + convfloat(last_no - 2) rm1,
- 1.0 2.0 - 1.0 - 1.0 2.0 - 1.0 5.0 8.0 3.0
dr1 : ----- + --- + -----, dr2 : ----- + --- + -----, ds1 : --- - --- + ---,
rm3 rm2 rm1 rm4 rm3 rm2 rm3 rm2 rm1
5.0 8.0 3.0
ds2 : --- - --- + ---, if (mabs(nr1 dr2 - nr2 dr1) = 0.0) or (mabs(dr1) = 0.0)
rm4 rm3 rm2
then (rad_c : glob_larger_float, ord_no : glob_larger_float)
else (if mabs(nr1 dr2 - nr2 dr1) # 0.0
dr1 dr2 - ds2 dr1 + ds1 dr2
then (rcs : ---------------------------,
nr1 dr2 - nr2 dr1
rcs nr1 - ds1 convfloat(last_no)
ord_no : ------------- - ------------------,
2.0 dr1 2.0
if mabs(rcs) # 0.0 then (if rcs > 0.0 then rad_c : sqrt(rcs) mabs(glob_h)
else (rad_c : glob_larger_float, ord_no : glob_larger_float))
else (rad_c : glob_larger_float, ord_no : glob_larger_float))
else (rad_c : glob_larger_float, ord_no : glob_larger_float)))
else (rad_c : glob_larger_float, ord_no : glob_larger_float),
glob_six_term_ord_save : ord_no, rad_c)
(%i203) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%o203) comp_ord_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := glob_six_term_ord_save
(%i204) factorial_2(nnn):=nnn!
(%o204) factorial_2(nnn) := nnn!
(%i205) factorial_1(nnn):=block(mode_declare([[ret],convfloat]),
if nnn <= MAX_TERMS
then (if array_fact_1[nnn] = 0
then (ret:factorial_2(nnn),
array_fact_1[nnn]:ret)
else ret:array_fact_1[nnn])
else ret:factorial_2(nnn),ret)
(%o205) factorial_1(nnn) := block(mode_declare([[ret], convfloat]),
if nnn <= MAX_TERMS then (if array_fact_1 = 0
nnn
then (ret : factorial_2(nnn), array_fact_1 : ret)
nnn
else ret : array_fact_1 ) else ret : factorial_2(nnn), ret)
nnn
(%i206) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]),
if nnn <= MAX_TERMS and mmm <= MAX_TERMS
then (if array_fact_2[mmm,nnn] = 0
then (ret:factorial_1(mmm)/factorial_1(nnn),
array_fact_2[mmm,nnn]:ret)
else ret:array_fact_2[mmm,nnn])
else ret:factorial_2(mmm)/factorial_2(nnn),ret)
(%o206) factorial_3(mmm, nnn) := block(mode_declare([[ret], convfloat]),
if (nnn <= MAX_TERMS) and (mmm <= MAX_TERMS)
factorial_1(mmm)
then (if array_fact_2 = 0 then (ret : ----------------,
mmm, nnn factorial_1(nnn)
array_fact_2 : ret) else ret : array_fact_2 )
mmm, nnn mmm, nnn
factorial_2(mmm)
else ret : ----------------, ret)
factorial_2(nnn)
(%i207) log10(x):=log(x)/glob_log_10
log(x)
(%o207) log10(x) := -----------
glob_log_10
(%i208) expt(x,y):=(if x <= 0.0 and y < 0.0
then print("expt error x = ",x,"y = ",y),x^y)
(%o208) expt(x, y) := (if (x <= 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%i209) estimated_needed_step_error(x_start,x_end,estimated_h,
estimated_answer):=block(
[desired_abs_gbl_error,range,
estimated_steps,step_error],
omniout_float(ALWAYS,
"glob_desired_digits_correct",
32,
glob_desired_digits_correct,
32,""),
desired_abs_gbl_error
:expt(10.0,-glob_desired_digits_correct)
*abs(estimated_answer),
omniout_float(ALWAYS,"estimated_h",32,
estimated_h,32,""),
omniout_float(ALWAYS,"estimated_answer",
32,estimated_answer,32,""),
omniout_float(ALWAYS,
"desired_abs_gbl_error",32,
desired_abs_gbl_error,32,
""),range:x_end-x_start,
omniout_float(ALWAYS,"range",32,range,32,
""),
estimated_steps:range/estimated_h,
omniout_float(ALWAYS,"estimated_steps",32,
estimated_steps,32,""),
step_error
:abs(
desired_abs_gbl_error/estimated_steps),
omniout_float(ALWAYS,"step_error",32,
step_error,32,""),
step_error)
(%o209) estimated_needed_step_error(x_start, x_end, estimated_h,
estimated_answer) := block([desired_abs_gbl_error, range, estimated_steps,
step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32,
glob_desired_digits_correct, 32, ""), desired_abs_gbl_error :
expt(10.0, - glob_desired_digits_correct) mabs(estimated_answer),
omniout_float(ALWAYS, "estimated_h", 32, estimated_h, 32, ""),
omniout_float(ALWAYS, "estimated_answer", 32, estimated_answer, 32, ""),
omniout_float(ALWAYS, "desired_abs_gbl_error", 32, desired_abs_gbl_error, 32,
""), range : x_end - x_start, omniout_float(ALWAYS, "range", 32, range, 32,
range
""), estimated_steps : -----------, omniout_float(ALWAYS, "estimated_steps",
estimated_h
!desired_abs_gbl_error!
32, estimated_steps, 32, ""), step_error : !---------------------!,
! estimated_steps !
omniout_float(ALWAYS, "step_error", 32, step_error, 32, ""), step_error)
(%i210) exact_soln_y(x):=block((-cos(x))/2.0)
- cos(x)
(%o210) exact_soln_y(x) := block(--------)
2.0
(%i211) display_poles():=(
block(mode_declare([[rad_given],convfloat]),
if glob_type_given_pole = 4
then (rad_given
:sqrt(
array_given_rad_poles[1,2]
*array_given_rad_poles[1,2]
+(array_x[1]
-array_given_rad_poles[1,1])
*(array_x[1]
-array_given_rad_poles[1,1])),
if rad_given < glob_least_given_sing
then glob_least_given_sing
:rad_given,
omniout_float(ALWAYS,
"Radius of convergence (given) for eq 1 ",
4,rad_given,4," "),
omniout_float(ALWAYS,
"Order of pole (given) ",
4,
array_given_ord_poles[
1,1],4," "))
elseif glob_type_given_pole = 3
then omniout_str(ALWAYS,
"NO POLE (given) for Equation 1")
else omniout_str(ALWAYS,
"NO INFO (given) for Equation 1"),
if array_rad_test_poles[1,1] < glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (ratio test) for eq 1 ",
4,
array_rad_test_poles[1,1],
4," "),
if
array_rad_test_poles[1,1]
< glob_least_ratio_sing
then glob_least_ratio_sing
:array_rad_test_poles[1,1],
omniout_float(ALWAYS,
"Order of pole (ratio test) ",
4,
array_ord_test_poles[1,1],
4," "))
else omniout_str(ALWAYS,
"NO POLE (ratio test) for Equation 1"),
if array_rad_test_poles[1,2] > 0.0
and array_rad_test_poles[1,2]
< glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ",
4,
array_rad_test_poles[1,2],
4," "),
if
array_rad_test_poles[1,2]
< glob_least_3_sing
then glob_least_3_sing
:array_rad_test_poles[1,2],
omniout_float(ALWAYS,
"Order of pole (three term test) ",
4,
array_ord_test_poles[1,2],
4," "))
else omniout_str(ALWAYS,
"NO REAL POLE (three term test) for Equation 1"),
if array_rad_test_poles[1,3] > 0.0
and array_rad_test_poles[1,3]
< glob_large_float
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ",
4,
array_rad_test_poles[1,3],
4," "),
if
array_rad_test_poles[1,3]
< glob_least_6_sing
then glob_least_6_sing
:array_rad_test_poles[1,3],
omniout_float(ALWAYS,
"Order of pole (six term test) ",
4,
array_ord_test_poles[1,3],
4," "))
else omniout_str(ALWAYS,
"NO COMPLEX POLE (six term test) for Equation 1")),
0)
(%o211) display_poles() := (block(mode_declare([[rad_given], convfloat]),
if glob_type_given_pole = 4 then (rad_given :
sqrt(array_given_rad_poles array_given_rad_poles
1, 2 1, 2
+ (array_x - array_given_rad_poles )
1 1, 1
(array_x - array_given_rad_poles )),
1 1, 1
if rad_given < glob_least_given_sing then glob_least_given_sing : rad_given,
omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4,
rad_given, 4, " "), omniout_float(ALWAYS,
"Order of pole (given) ", 4,
array_given_ord_poles , 4, " ")) elseif glob_type_given_pole = 3
1, 1
then omniout_str(ALWAYS, "NO POLE (given) for Equation 1")
else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"),
if array_rad_test_poles < glob_large_float then (omniout_float(ALWAYS, "Ra\
1, 1
dius of convergence (ratio test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 1 1, 1
glob_least_ratio_sing then glob_least_ratio_sing : array_rad_test_poles ,
1, 1
omniout_float(ALWAYS, "Order of pole (ratio test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 1
"NO POLE (ratio test) for Equation 1"),
if (array_rad_test_poles > 0.0) and (array_rad_test_poles < glob_large_float)
1, 2 1, 2
then (omniout_float(ALWAYS,
"Radius of convergence (three term test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 2 1, 2
glob_least_3_sing then glob_least_3_sing : array_rad_test_poles ,
1, 2
omniout_float(ALWAYS, "Order of pole (three term test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 2
"NO REAL POLE (three term test) for Equation 1"),
if (array_rad_test_poles > 0.0) and (array_rad_test_poles <
1, 3 1, 3
glob_large_float)
then (omniout_float(ALWAYS,
"Radius of convergence (six term test) for eq 1 ", 4,
array_rad_test_poles , 4, " "), if array_rad_test_poles <
1, 3 1, 3
glob_least_6_sing then glob_least_6_sing : array_rad_test_poles ,
1, 3
omniout_float(ALWAYS, "Order of pole (six term test) ", 4,
array_ord_test_poles , 4, " ")) else omniout_str(ALWAYS,
1, 3
"NO COMPLEX POLE (six term test) for Equation 1")), 0)
(%i212) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0
else ret:-1.0,ret)
(%o212) my_check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%i213) est_size_answer():=block([min_size],
min_size:glob_estimated_size_answer,
if abs(array_y[1]) < min_size
then (min_size:abs(array_y[1]),
omniout_float(ALWAYS,"min_size",32,min_size,
32,"")),
if min_size < 1.0
then (min_size:1.0,
omniout_float(ALWAYS,"min_size",32,min_size,
32,"")),min_size)
(%o213) est_size_answer() := block([min_size],
min_size : glob_estimated_size_answer,
if !array_y ! < min_size then (min_size : !array_y !,
! 1! ! 1!
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")),
if min_size < 1.0 then (min_size : 1.0,
omniout_float(ALWAYS, "min_size", 32, min_size, 32, "")), min_size)
(%i214) test_suggested_h():=block(
[max_estimated_step_error,hn_div_ho,hn_div_ho_2,
hn_div_ho_3,no_terms,est_tmp],
max_estimated_step_error:0.0,no_terms:MAX_TERMS,
hn_div_ho:0.5,hn_div_ho_2:0.25,hn_div_ho_3:0.125,
omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""),
omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32,
""),
omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32,
""),
est_tmp:abs(array_y[no_terms]*hn_div_ho_3
+array_y[no_terms-1]*hn_div_ho_2
+array_y[no_terms-2]*hn_div_ho
+array_y[no_terms-3]),
if est_tmp >= max_estimated_step_error
then max_estimated_step_error:est_tmp,
omniout_float(ALWAYS,"max_estimated_step_error",32,
max_estimated_step_error,32,""),
max_estimated_step_error)
(%o214) test_suggested_h() := block([max_estimated_step_error, hn_div_ho,
hn_div_ho_2, hn_div_ho_3, no_terms, est_tmp], max_estimated_step_error : 0.0,
no_terms : MAX_TERMS, hn_div_ho : 0.5, hn_div_ho_2 : 0.25,
hn_div_ho_3 : 0.125, omniout_float(ALWAYS, "hn_div_ho", 32, hn_div_ho, 32,
""), omniout_float(ALWAYS, "hn_div_ho_2", 32, hn_div_ho_2, 32, ""),
omniout_float(ALWAYS, "hn_div_ho_3", 32, hn_div_ho_3, 32, ""),
est_tmp : mabs(array_y hn_div_ho_3 + array_y hn_div_ho_2
no_terms no_terms - 1
+ array_y hn_div_ho + array_y ),
no_terms - 2 no_terms - 3
if est_tmp >= max_estimated_step_error then max_estimated_step_error :
est_tmp, omniout_float(ALWAYS, "max_estimated_step_error", 32,
max_estimated_step_error, 32, ""), max_estimated_step_error)
(%i215) reached_interval():=block(mode_declare([[ret],boolean]),
if glob_check_sign*array_x[1]
>= glob_check_sign*glob_next_display
then ret:true else ret:false,return(ret))
(%o215) reached_interval() := block(mode_declare([[ret], boolean]),
if glob_check_sign array_x >= glob_check_sign glob_next_display
1
then ret : true else ret : false, return(ret))
(%i216) display_alot(iter):=(
block(mode_declare(
[[abserr],convfloat,[analytic_val_y],convfloat,
[ind_var],convfloat,[numeric_val],convfloat,
[relerr],convfloat,[term_no],fixnum]),
if reached_interval()
then (if iter >= 0
then (ind_var:array_x[1],
omniout_float(ALWAYS,
"x[1] ",
33,ind_var,20,
" "),
analytic_val_y
:exact_soln_y(ind_var),
omniout_float(ALWAYS,
"y[1] (analytic) ",
33,
analytic_val_y,
20," "),
term_no:1,
numeric_val:array_y[term_no],
abserr
:abs(
numeric_val-analytic_val_y),
omniout_float(ALWAYS,
"y[1] (numeric) ",
33,numeric_val,
20," "),
if abs(analytic_val_y) # 0.0
then (
relerr
:abserr*100.0
/abs(analytic_val_y),
if relerr > 1.0E-34
then glob_good_digits
:3-floor(log10(relerr))
else glob_good_digits
:16)
else (relerr:-1.0,
glob_good_digits:-1),
if glob_iter = 1
then array_1st_rel_error[1]
:relerr
else array_last_rel_error[
1]
:relerr,
omniout_float(ALWAYS,
"absolute error ",
4,abserr,20," "),
omniout_float(ALWAYS,
"relative error ",
4,relerr,20,"%"),
omniout_int(INFO,
"Correct digits ",
32,
glob_good_digits,4,
" "),
omniout_float(ALWAYS,
"h ",
4,glob_h,20,
" ")))),0)
(%o216) display_alot(iter) := (block(mode_declare([[abserr], convfloat,
[analytic_val_y], convfloat, [ind_var], convfloat, [numeric_val], convfloat,
[relerr], convfloat, [term_no], fixnum]),
if reached_interval() then (if iter >= 0
then (ind_var : array_x , omniout_float(ALWAYS,
1
"x[1] ", 33, ind_var, 20, " "),
analytic_val_y : exact_soln_y(ind_var),
omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y,
20, " "), term_no : 1, numeric_val : array_y ,
term_no
abserr : mabs(numeric_val - analytic_val_y),
omniout_float(ALWAYS, "y[1] (numeric) ", 33, numeric_val,
20, " "), if mabs(analytic_val_y) # 0.0
abserr 100.0
then (relerr : --------------------, if relerr > 1.0E-34
mabs(analytic_val_y)
then glob_good_digits : 3 - floor(log10(relerr)) else glob_good_digits : 16)
else (relerr : - 1.0, glob_good_digits : - 1),
if glob_iter = 1 then array_1st_rel_error : relerr
1
else array_last_rel_error : relerr, omniout_float(ALWAYS,
1
"absolute error ", 4, abserr, 20, " "),
omniout_float(ALWAYS, "relative error ", 4, relerr, 20,
"%"), omniout_int(INFO, "Correct digits ", 32,
glob_good_digits, 4, " "), omniout_float(ALWAYS,
"h ", 4, glob_h, 20, " ")))), 0)
(%i217) adjust_for_pole(h_param):=(
block(mode_declare(
[[hnew],convfloat,[sz2],convfloat,[tmp],
convfloat]),hnew:h_param,
glob_normmax:glob_small_float,
if abs(array_y_higher[1,1]) > glob_small_float
then (tmp:abs(array_y_higher[1,1]),
if tmp < glob_normmax
then glob_normmax:tmp),
if glob_look_poles
and glob_min_pole_est > glob_small_float
and glob_min_pole_est < glob_large_float
then (sz2:glob_min_pole_est/10.0,
if sz2 < hnew
then (
omniout_float(INFO,
"glob_h adjusted to ",
20,h_param,12,
"due to singularity."),
omniout_str(INFO,
"Reached Optimal"),
return(hnew))),
if not glob_reached_optimal_h
then (glob_reached_optimal_h:true,
glob_curr_iter_when_opt
:glob_current_iter,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
glob_optimal_start:array_x[1]),
hnew:sz2),hnew)
(%o217) adjust_for_pole(h_param) := (block(mode_declare([[hnew], convfloat,
[sz2], convfloat, [tmp], convfloat]), hnew : h_param,
glob_normmax : glob_small_float, if !array_y_higher ! > glob_small_float
! 1, 1!
then (tmp : !array_y_higher !, if tmp < glob_normmax
! 1, 1!
then glob_normmax : tmp), if glob_look_poles
and (glob_min_pole_est > glob_small_float)
and (glob_min_pole_est < glob_large_float)
glob_min_pole_est
then (sz2 : -----------------, if sz2 < hnew
10.0
then (omniout_float(INFO, "glob_h adjusted to ", 20, h_param, 12,
"due to singularity."), omniout_str(INFO, "Reached Optimal"), return(hnew))),
if not glob_reached_optimal_h then (glob_reached_optimal_h : true,
glob_curr_iter_when_opt : glob_current_iter,
glob_optimal_clock_start_sec : elapsed_time_seconds(),
glob_optimal_start : array_x ), hnew : sz2), hnew)
1
(%i218) prog_report(x_start,x_end):=(
block(mode_declare([[clock_sec],convfloat,[opt_clock_sec],
convfloat,[clock_sec1],convfloat,
[expect_sec],convfloat,[left_sec],
convfloat,[percent_done],convfloat,
[total_clock_sec],convfloat]),
clock_sec1:elapsed_time_seconds(),
total_clock_sec:clock_sec1-glob_orig_start_sec,
glob_clock_sec:clock_sec1-glob_clock_start_sec,
left_sec:-clock_sec1+glob_orig_start_sec
+glob_max_sec,
expect_sec:comp_expect_sec(x_end,x_start,
glob_h+array_x[1],
clock_sec1
-glob_orig_start_sec),
opt_clock_sec:clock_sec1
-glob_optimal_clock_start_sec,
glob_optimal_expect_sec
:comp_expect_sec(x_end,x_start,glob_h+array_x[1],
opt_clock_sec),
glob_total_exp_sec
:total_clock_sec+glob_optimal_expect_sec,
percent_done:comp_percent(x_end,x_start,
glob_h+array_x[1]),
glob_percent_done:percent_done,
omniout_str_noeol(INFO,
"Total Elapsed Time "),
omniout_timestr(total_clock_sec),
omniout_str_noeol(INFO,
"Elapsed Time(since restart) "),
omniout_timestr(glob_clock_sec),
if percent_done < 100.0
then (omniout_str_noeol(INFO,
"Expected Time Remaining "),
omniout_timestr(expect_sec),
omniout_str_noeol(INFO,
"Optimized Time Remaining "),
omniout_timestr(glob_optimal_expect_sec),
omniout_str_noeol(INFO,
"Expected Total Time "),
omniout_timestr(glob_total_exp_sec)),
omniout_str_noeol(INFO,
"Time to Timeout "),
omniout_timestr(left_sec),
omniout_float(INFO,
"Percent Done ",33,
percent_done,4,"%")),0)
(%o218) prog_report(x_start, x_end) :=
(block(mode_declare([[clock_sec], convfloat, [opt_clock_sec], convfloat,
[clock_sec1], convfloat, [expect_sec], convfloat, [left_sec], convfloat,
[percent_done], convfloat, [total_clock_sec], convfloat]),
clock_sec1 : elapsed_time_seconds(), total_clock_sec :
clock_sec1 - glob_orig_start_sec, glob_clock_sec :
clock_sec1 - glob_clock_start_sec, left_sec :
- clock_sec1 + glob_orig_start_sec + glob_max_sec,
expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x ,
1
clock_sec1 - glob_orig_start_sec), opt_clock_sec :
clock_sec1 - glob_optimal_clock_start_sec,
glob_optimal_expect_sec : comp_expect_sec(x_end, x_start, glob_h + array_x ,
1
opt_clock_sec), glob_total_exp_sec : total_clock_sec
+ glob_optimal_expect_sec, percent_done :
comp_percent(x_end, x_start, glob_h + array_x ),
1
glob_percent_done : percent_done, omniout_str_noeol(INFO,
"Total Elapsed Time "), omniout_timestr(total_clock_sec),
omniout_str_noeol(INFO, "Elapsed Time(since restart) "),
omniout_timestr(glob_clock_sec), if percent_done < 100.0
then (omniout_str_noeol(INFO, "Expected Time Remaining "),
omniout_timestr(expect_sec), omniout_str_noeol(INFO,
"Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec),
omniout_str_noeol(INFO, "Expected Total Time "),
omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(INFO,
"Time to Timeout "), omniout_timestr(left_sec),
omniout_float(INFO, "Percent Done ", 33, percent_done, 4,
"%")), 0)
(%i219) check_for_pole():=(
block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc],
convfloat,[m,n],fixnum,[nr1,nr2],
convfloat,[ord_no],fixnum,
[term1,term2,term3,part1,part2,
part3,part4,part5,part6,part7,
part8,part9,part10,part11,part12,
part13,part14,rad_c,rcs,rm0,rm1,
rm2,rm3,rm4],convfloat,
[found_sing],fixnum,
[h_new,ratio,term,local_test,
tmp_rad,tmp_ord,tmp_ratio,
prev_tmp_rad],convfloat,[last_no],
fixnum),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,1]:glob_larger_float,
array_ord_test_poles[1,1]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-3 and found_sing = 1 do
(tmp_rad
:comp_rad_from_ratio(
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,1]
then (
array_rad_test_poles[1,1]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_ratio(
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,1]:rad_c,
array_ord_test_poles[1,1]
:tmp_ord)),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,2]:glob_larger_float,
array_ord_test_poles[1,2]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-4 and found_sing = 1 do
(tmp_rad
:comp_rad_from_three_terms(
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,2]
then (
array_rad_test_poles[1,2]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_three_terms(
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,2]:rad_c,
if rad_c < glob_min_pole_est
then glob_min_pole_est:rad_c,
array_ord_test_poles[1,2]
:tmp_ord)),
glob_min_pole_est:glob_larger_float,
tmp_rad:glob_larger_float,
prev_tmp_rad:glob_larger_float,
tmp_ratio:glob_larger_float,
rad_c:glob_larger_float,
array_rad_test_poles[1,3]:glob_larger_float,
array_ord_test_poles[1,3]:glob_larger_float,
found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0,
while last_no < MAX_TERMS-7 and found_sing = 1 do
(tmp_rad
:comp_rad_from_six_terms(
array_y_higher[1,last_no-5],
array_y_higher[1,last_no-4],
array_y_higher[1,last_no-3],
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],last_no),
tmp_ratio:tmp_rad/prev_tmp_rad,
if cnt > 0
and tmp_ratio
< glob_upper_ratio_limit
and tmp_ratio
> glob_lower_ratio_limit
then rad_c:tmp_rad elseif cnt = 0
then rad_c:tmp_rad elseif cnt > 0
then found_sing:0,
prev_tmp_rad:tmp_rad,cnt:1+cnt,
last_no:1+last_no),
if found_sing = 1
then (if rad_c < array_rad_test_poles[1,3]
then (
array_rad_test_poles[1,3]:rad_c,
last_no:last_no-1,
tmp_ord
:comp_ord_from_six_terms(
array_y_higher[1,last_no-5],
array_y_higher[1,last_no-4],
array_y_higher[1,last_no-3],
array_y_higher[1,last_no-2],
array_y_higher[1,last_no-1],
array_y_higher[1,last_no],
last_no),
array_rad_test_poles[1,3]:rad_c,
if rad_c < glob_min_pole_est
then glob_min_pole_est:rad_c,
array_ord_test_poles[1,3]
:tmp_ord)),
if abs(glob_min_pole_est)*glob_ratio_of_radius
< abs(glob_h)
then (h_new
:glob_check_sign*glob_min_pole_est
*glob_ratio_of_radius,
term:1,ratio:1.0,
while term <= MAX_TERMS do
(
array_y[term]
:array_y[term]*ratio,
array_y_higher[1,term]
:array_y_higher[1,term]*ratio,
array_x[term]
:array_x[term]*ratio,
ratio:ratio*h_new/abs(glob_h),
term:1+term),glob_h:h_new),
if reached_interval() then display_poles()),0)
(%o219) check_for_pole() := (block(mode_declare([cnt], fixnum,
[dr1, dr2, ds1, ds2, hdrc], convfloat, [m, n], fixnum, [nr1, nr2], convfloat,
[ord_no], fixnum, [term1, term2, term3, part1, part2, part3, part4, part5,
part6, part7, part8, part9, part10, part11, part12, part13, part14, rad_c,
rcs, rm0, rm1, rm2, rm3, rm4], convfloat, [found_sing], fixnum,
[h_new, ratio, term, local_test, tmp_rad, tmp_ord, tmp_ratio, prev_tmp_rad],
convfloat, [last_no], fixnum), glob_min_pole_est : glob_larger_float,
tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float,
tmp_ratio : glob_larger_float, rad_c : glob_larger_float,
array_rad_test_poles : glob_larger_float,
1, 1
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 1
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 3) and (found_sing = 1) do (tmp_rad :
comp_rad_from_ratio(array_y_higher , array_y_higher ,
1, last_no - 1 1, last_no
tmp_rad
last_no), tmp_ratio : ------------, if (cnt > 0)
prev_tmp_rad
and (tmp_ratio < glob_upper_ratio_limit)
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 1
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 1
tmp_ord : comp_ord_from_ratio(array_y_higher ,
1, last_no - 1
array_y_higher , last_no), array_rad_test_poles : rad_c,
1, last_no 1, 1
array_ord_test_poles : tmp_ord)), glob_min_pole_est : glob_larger_float,
1, 1
tmp_rad : glob_larger_float, prev_tmp_rad : glob_larger_float,
tmp_ratio : glob_larger_float, rad_c : glob_larger_float,
array_rad_test_poles : glob_larger_float,
1, 2
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 2
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 4) and (found_sing = 1) do (tmp_rad :
comp_rad_from_three_terms(array_y_higher ,
1, last_no - 2
array_y_higher , array_y_higher , last_no),
1, last_no - 1 1, last_no
tmp_rad
tmp_ratio : ------------, if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit)
prev_tmp_rad
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 2
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 2
tmp_ord : comp_ord_from_three_terms(array_y_higher ,
1, last_no - 2
array_y_higher , array_y_higher , last_no),
1, last_no - 1 1, last_no
array_rad_test_poles : rad_c, if rad_c < glob_min_pole_est
1, 2
then glob_min_pole_est : rad_c, array_ord_test_poles : tmp_ord)),
1, 2
glob_min_pole_est : glob_larger_float, tmp_rad : glob_larger_float,
prev_tmp_rad : glob_larger_float, tmp_ratio : glob_larger_float,
rad_c : glob_larger_float, array_rad_test_poles : glob_larger_float,
1, 3
array_ord_test_poles : glob_larger_float, found_sing : 1,
1, 3
last_no : - 10 - 1 + MAX_TERMS, cnt : 0,
while (last_no < MAX_TERMS - 7) and (found_sing = 1) do (tmp_rad :
comp_rad_from_six_terms(array_y_higher ,
1, last_no - 5
array_y_higher , array_y_higher ,
1, last_no - 4 1, last_no - 3
array_y_higher , array_y_higher ,
1, last_no - 2 1, last_no - 1
tmp_rad
array_y_higher , last_no), tmp_ratio : ------------,
1, last_no prev_tmp_rad
if (cnt > 0) and (tmp_ratio < glob_upper_ratio_limit)
and (tmp_ratio > glob_lower_ratio_limit) then rad_c : tmp_rad elseif cnt = 0
then rad_c : tmp_rad elseif cnt > 0 then found_sing : 0,
prev_tmp_rad : tmp_rad, cnt : 1 + cnt, last_no : 1 + last_no),
if found_sing = 1 then (if rad_c < array_rad_test_poles
1, 3
then (array_rad_test_poles : rad_c, last_no : last_no - 1,
1, 3
tmp_ord : comp_ord_from_six_terms(array_y_higher ,
1, last_no - 5
array_y_higher , array_y_higher ,
1, last_no - 4 1, last_no - 3
array_y_higher , array_y_higher ,
1, last_no - 2 1, last_no - 1
array_y_higher , last_no), array_rad_test_poles : rad_c,
1, last_no 1, 3
if rad_c < glob_min_pole_est then glob_min_pole_est : rad_c,
array_ord_test_poles : tmp_ord)), if mabs(glob_min_pole_est)
1, 3
glob_ratio_of_radius < mabs(glob_h) then (h_new :
glob_check_sign glob_min_pole_est glob_ratio_of_radius, term : 1, ratio : 1.0,
while term <= MAX_TERMS do (array_y : array_y ratio,
term term
array_y_higher : array_y_higher ratio,
1, term 1, term
ratio h_new
array_x : array_x ratio, ratio : ------------, term : 1 + term),
term term mabs(glob_h)
glob_h : h_new), if reached_interval() then display_poles()), 0)
(%i220) atomall():=(
block(mode_declare([[kkk,order_d],fixnum,
[adj2,adj3,temporary,term,temp,temp2],
convfloat]),array_tmp1[1]:sin(array_x[1]),
array_tmp1_g[1]:cos(array_x[1]),
array_tmp2[1]:array_tmp1[1]/array_const_2D0[1],
array_tmp3[1]:array_tmp2[1]+array_const_0D0[1],
if not array_y_set_initial[1,2]
then (if 1 <= MAX_TERMS
then (
temporary
:array_tmp3[1]*expt(glob_h,1)
*factorial_3(0,1),
if 2 <= MAX_TERMS
then (array_y[2]:temporary,
array_y_higher[1,2]:temporary),
temporary:temporary*1.0/glob_h,
array_y_higher[2,1]:temporary,0)),kkk:2,
array_tmp1[2]:array_tmp1_g[1]*array_x[2]/1,
array_tmp1_g[2]:(-array_tmp1[1]*array_x[2])/1,
array_tmp2[2]:array_tmp1[2]/array_const_2D0[1],
array_tmp3[2]:array_tmp2[2],
if not array_y_set_initial[1,3]
then (if 2 <= MAX_TERMS
then (
temporary
:array_tmp3[2]*expt(glob_h,1)
*factorial_3(1,2),
if 3 <= MAX_TERMS
then (array_y[3]:temporary,
array_y_higher[1,3]:temporary),
temporary:temporary*2.0/glob_h,
array_y_higher[2,2]:temporary,0)),kkk:3,
array_tmp1[3]:array_tmp1_g[2]*array_x[2]/2,
array_tmp1_g[3]:(-array_tmp1[2]*array_x[2])/2,
array_tmp2[3]:array_tmp1[3]/array_const_2D0[1],
array_tmp3[3]:array_tmp2[3],
if not array_y_set_initial[1,4]
then (if 3 <= MAX_TERMS
then (
temporary
:array_tmp3[3]*expt(glob_h,1)
*factorial_3(2,3),
if 4 <= MAX_TERMS
then (array_y[4]:temporary,
array_y_higher[1,4]:temporary),
temporary:temporary*3.0/glob_h,
array_y_higher[2,3]:temporary,0)),kkk:4,
array_tmp1[4]:array_tmp1_g[3]*array_x[2]/3,
array_tmp1_g[4]:(-array_tmp1[3]*array_x[2])/3,
array_tmp2[4]:array_tmp1[4]/array_const_2D0[1],
array_tmp3[4]:array_tmp2[4],
if not array_y_set_initial[1,5]
then (if 4 <= MAX_TERMS
then (
temporary
:array_tmp3[4]*expt(glob_h,1)
*factorial_3(3,4),
if 5 <= MAX_TERMS
then (array_y[5]:temporary,
array_y_higher[1,5]:temporary),
temporary:temporary*4.0/glob_h,
array_y_higher[2,4]:temporary,0)),kkk:5,
array_tmp1[5]:array_tmp1_g[4]*array_x[2]/4,
array_tmp1_g[5]:(-array_tmp1[4]*array_x[2])/4,
array_tmp2[5]:array_tmp1[5]/array_const_2D0[1],
array_tmp3[5]:array_tmp2[5],
if not array_y_set_initial[1,6]
then (if 5 <= MAX_TERMS
then (
temporary
:array_tmp3[5]*expt(glob_h,1)
*factorial_3(4,5),
if 6 <= MAX_TERMS
then (array_y[6]:temporary,
array_y_higher[1,6]:temporary),
temporary:temporary*5.0/glob_h,
array_y_higher[2,5]:temporary,0)),kkk:6,
while kkk <= MAX_TERMS do
(array_tmp1[kkk]
:array_tmp1_g[kkk-1]*array_x[2]/(kkk-1),
array_tmp1_g[kkk]
:(-array_tmp1[kkk-1]*array_x[2])/(kkk-1),
array_tmp2[kkk]
:array_tmp1[kkk]/array_const_2D0[1],
array_tmp3[kkk]:array_tmp2[kkk],order_d:1,
if order_d+kkk <= MAX_TERMS
then (if
not array_y_set_initial[1,order_d+kkk]
then (
temporary
:array_tmp3[kkk]*expt(glob_h,order_d)
*factorial_3(kkk-1,
-1+order_d
+kkk),
array_y[order_d+kkk]:temporary,
array_y_higher[1,order_d+kkk]:temporary,
term:-1+order_d+kkk,adj2:-1+order_d+kkk,
adj3:2,
while term >= 1 and term <= MAX_TERMS
and adj3 < 1+order_d do
(
if adj3 <= 1+order_d
then (
if adj2 > 0
then temporary
:temporary*adj2/glob_h
else temporary:temporary,
array_y_higher[adj3,term]
:temporary),term:term-1,
adj2:adj2-1,adj3:1+adj3))),
kkk:1+kkk)),0)
(%o220) atomall() := (block(mode_declare([[kkk, order_d], fixnum,
[adj2, adj3, temporary, term, temp, temp2], convfloat]),
array_tmp1 : sin(array_x ), array_tmp1_g : cos(array_x ),
1 1 1 1
array_tmp1
1
array_tmp2 : ----------------, array_tmp3 : array_tmp2 + array_const_0D0 ,
1 array_const_2D0 1 1 1
1
if not array_y_set_initial then (if 1 <= MAX_TERMS
1, 2
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(0, 1),
1
if 2 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
2 1, 2
temporary 1.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 2,
glob_h 2, 1
array_tmp1_g array_x - array_tmp1 array_x
1 2 1 2
array_tmp1 : ----------------------, array_tmp1_g : ----------------------,
2 1 2 1
array_tmp1
2
array_tmp2 : ----------------, array_tmp3 : array_tmp2 ,
2 array_const_2D0 2 2
1
if not array_y_set_initial then (if 2 <= MAX_TERMS
1, 3
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(1, 2),
2
if 3 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
3 1, 3
temporary 2.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 3,
glob_h 2, 2
array_tmp1_g array_x - array_tmp1 array_x
2 2 2 2
array_tmp1 : ----------------------, array_tmp1_g : ----------------------,
3 2 3 2
array_tmp1
3
array_tmp2 : ----------------, array_tmp3 : array_tmp2 ,
3 array_const_2D0 3 3
1
if not array_y_set_initial then (if 3 <= MAX_TERMS
1, 4
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(2, 3),
3
if 4 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
4 1, 4
temporary 3.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 4,
glob_h 2, 3
array_tmp1_g array_x - array_tmp1 array_x
3 2 3 2
array_tmp1 : ----------------------, array_tmp1_g : ----------------------,
4 3 4 3
array_tmp1
4
array_tmp2 : ----------------, array_tmp3 : array_tmp2 ,
4 array_const_2D0 4 4
1
if not array_y_set_initial then (if 4 <= MAX_TERMS
1, 5
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(3, 4),
4
if 5 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
5 1, 5
temporary 4.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 5,
glob_h 2, 4
array_tmp1_g array_x - array_tmp1 array_x
4 2 4 2
array_tmp1 : ----------------------, array_tmp1_g : ----------------------,
5 4 5 4
array_tmp1
5
array_tmp2 : ----------------, array_tmp3 : array_tmp2 ,
5 array_const_2D0 5 5
1
if not array_y_set_initial then (if 5 <= MAX_TERMS
1, 6
then (temporary : array_tmp3 expt(glob_h, 1) factorial_3(4, 5),
5
if 6 <= MAX_TERMS then (array_y : temporary, array_y_higher : temporary),
6 1, 6
temporary 5.0
temporary : -------------, array_y_higher : temporary, 0)), kkk : 6,
glob_h 2, 5
array_tmp1_g array_x
kkk - 1 2
while kkk <= MAX_TERMS do (array_tmp1 : ----------------------------,
kkk kkk - 1
- array_tmp1 array_x
kkk - 1 2
array_tmp1_g : ----------------------------,
kkk kkk - 1
array_tmp1
kkk
array_tmp2 : ----------------, array_tmp3 : array_tmp2 , order_d : 1,
kkk array_const_2D0 kkk kkk
1
if order_d + kkk <= MAX_TERMS then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp3 expt(glob_h, order_d)
kkk
factorial_3(kkk - 1, - 1 + order_d + kkk), array_y : temporary,
order_d + kkk
array_y_higher : temporary, term : - 1 + order_d + kkk,
1, order_d + kkk
adj2 : - 1 + order_d + kkk, adj3 : 2, while (term >= 1)
and (term <= MAX_TERMS) and (adj3 < 1 + order_d) do (if adj3 <= 1 + order_d
temporary adj2
then (if adj2 > 0 then temporary : -------------- else temporary : temporary,
glob_h
array_y_higher : temporary), term : term - 1, adj2 : adj2 - 1,
adj3, term
adj3 : 1 + adj3))), kkk : 1 + kkk)), 0)
(%i221) exact_soln_y(x):=block((-cos(x))/2.0)
- cos(x)
(%o221) exact_soln_y(x) := block(--------)
2.0
(%i222) main_prog():=block(
mode_declare([[d1,d2,d3,d4,est_err_2],convfloat,
[niii,done_once,term,ord,order_diff,term_no,
html_log_file,iiif,jjjf,rows,r_order,
sub_iter,calc_term,iii],fixnum,[temp_sum],
convfloat,[current_iter],fixnum,
[x_start,x_end],convfloat,[it,opt_iter],
fixnum,[tmp],convfloat,[subiter],fixnum,
[est_needed_step_err,estimated_step_error,
min_value,est_answer,best_h,found_h],
convfloat,[repeat_it],fixnum]),Digits:32,
max_terms:30,glob_html_log:true,term:1,
while term <= MAX_TERMS do
(array_y_init[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_norms[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_fact_1[term]:0.0,term:1+term),term:1,
while term <= 2 do
(array_1st_rel_error[term]:0.0,term:1+term),term:1,
while term <= 2 do
(array_last_rel_error[term]:0.0,term:1+term),term:1,
while term <= 2 do (array_type_pole[term]:0,term:1+term),
term:1,
while term <= 2 do
(array_type_real_pole[term]:0,term:1+term),term:1,
while term <= 2 do
(array_type_complex_pole[term]:0,term:1+term),term:1,
while term <= MAX_TERMS do (array_y[term]:0.0,term:1+term),
term:1,
while term <= MAX_TERMS do (array_x[term]:0.0,term:1+term),
term:1,
while term <= MAX_TERMS do
(array_tmp0[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp1_g[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp1[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp2[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do
(array_tmp3[term]:0.0,term:1+term),term:1,
while term <= MAX_TERMS do (array_m1[term]:0.0,term:1+term),
ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher[ord,term]:0.0,term:1+term),
ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher_work[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_higher_work2[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= MAX_TERMS do
(array_y_set_initial[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_rad_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_given_ord_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_rad_test_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= 2 do
(term:1,
while term <= 3 do
(array_ord_test_poles[ord,term]:0.0,
term:1+term),ord:1+ord),ord:1,
while ord <= MAX_TERMS do
(term:1,
while term <= MAX_TERMS do
(array_fact_2[ord,term]:0.0,term:1+term),
ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x),
zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1_g),
zero_ats_ar(array_tmp1),zero_ats_ar(array_tmp2),
zero_ats_ar(array_tmp3),zero_ats_ar(array_m1),
zero_ats_ar(array_const_1),array_const_1[1]:1,
zero_ats_ar(array_const_0D0),array_const_0D0[1]:0.0,
zero_ats_ar(array_const_2D0),array_const_2D0[1]:2.0,
zero_ats_ar(array_m1),array_m1[1]:-1.0,iiif:0,
while iiif <= MAX_TERMS do
(jjjf:0,
while jjjf <= MAX_TERMS do
(array_fact_1[iiif]:0,
array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf),
iiif:1+iiif),array_y_set_initial[1,1]:true,
array_y_set_initial[1,2]:false,
array_y_set_initial[1,3]:false,
array_y_set_initial[1,4]:false,
array_y_set_initial[1,5]:false,
array_y_set_initial[1,6]:false,
array_y_set_initial[1,7]:false,
array_y_set_initial[1,8]:false,
array_y_set_initial[1,9]:false,
array_y_set_initial[1,10]:false,
array_y_set_initial[1,11]:false,
array_y_set_initial[1,12]:false,
array_y_set_initial[1,13]:false,
array_y_set_initial[1,14]:false,
array_y_set_initial[1,15]:false,
array_y_set_initial[1,16]:false,
array_y_set_initial[1,17]:false,
array_y_set_initial[1,18]:false,
array_y_set_initial[1,19]:false,
array_y_set_initial[1,20]:false,
array_y_set_initial[1,21]:false,
array_y_set_initial[1,22]:false,
array_y_set_initial[1,23]:false,
array_y_set_initial[1,24]:false,
array_y_set_initial[1,25]:false,
array_y_set_initial[1,26]:false,
array_y_set_initial[1,27]:false,
array_y_set_initial[1,28]:false,
array_y_set_initial[1,29]:false,
array_y_set_initial[1,30]:false,ALWAYS:1,INFO:2,DEBUGL:3,
DEBUGMASSIVE:4,MAX_TERMS:30,glob_iolevel:INFO,
glob_orig_start_sec:elapsed_time_seconds(),
glob_curr_iter_when_opt:0,glob_display_flag:true,
glob_no_eqs:1,glob_iter:-1,opt_iter:-1,glob_max_iter:50000,
glob_max_hours:0.0,glob_max_minutes:15.0,
omniout_str(ALWAYS,
"##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS,
"##############temp/div_sin_cpostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"Digits:32,"),
omniout_str(ALWAYS,"max_terms:30,"),omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"x_start:-5.0,"),
omniout_str(ALWAYS,"x_end:5.0,"),
omniout_str(ALWAYS,
"array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS,"glob_look_poles:true,"),
omniout_str(ALWAYS,"glob_max_iter:1000000,"),
omniout_str(ALWAYS,"glob_display_interval:0.1,"),
omniout_str(ALWAYS,"glob_max_minutes:10,"),
omniout_str(ALWAYS,"/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS,"/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS,"glob_desired_digits_correct:10,"),
omniout_str(ALWAYS,"glob_display_interval:0.01,"),
omniout_str(ALWAYS,"glob_look_poles:true,"),
omniout_str(ALWAYS,"glob_max_iter:1000000000,"),
omniout_str(ALWAYS,"glob_max_minutes:10.0,"),
omniout_str(ALWAYS,"glob_subiter_method:3,"),
omniout_str(ALWAYS,"/* END OVERRIDE BLOCK */"),
omniout_str(ALWAYS,"!"),
omniout_str(ALWAYS,"/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS,"exact_soln_y (x) := (block("),
omniout_str(ALWAYS," (-cos(x)/2.0) "),
omniout_str(ALWAYS,"));"),
omniout_str(ALWAYS,"/* END USER DEF BLOCK */"),
omniout_str(ALWAYS,
"#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false,
glob_small_float:0.0,glob_smallish_float:0.0,
glob_large_float:1.0E+100,glob_larger_float:1.1E+100,
glob_almost_1:0.99,x_start:-5.0,x_end:5.0,
array_y_init[1+0]:exact_soln_y(x_start),
glob_look_poles:true,glob_max_iter:1000000,
glob_display_interval:0.1,glob_max_minutes:10,
glob_desired_digits_correct:10,glob_display_interval:0.01,
glob_look_poles:true,glob_max_iter:1000000000,
glob_max_minutes:10.0,glob_subiter_method:3,
glob_last_good_h:glob_h,
glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes,
omniout_str(ALWAYS,"START of Optimize"),
glob_check_sign:my_check_sign(x_start,x_end),found_h:false,
glob_h:glob_min_h*glob_check_sign,
if abs(glob_max_h) < abs(glob_h)
then glob_h:abs(glob_max_h)*glob_check_sign,
if abs(glob_display_interval) < abs(glob_h)
then glob_h:abs(glob_display_interval),
if glob_h > 0.0
then (glob_neg_h:false,
glob_display_interval:abs(glob_display_interval))
else (glob_neg_h:true,
glob_display_interval
:-abs(glob_display_interval)),chk_data(),
best_h:glob_h,min_value:glob_larger_float,
est_answer:est_size_answer(),opt_iter:1,
est_needed_step_err:estimated_needed_step_error(
x_start,x_end,glob_h,est_answer),
omniout_float(ALWAYS,"est_needed_step_err",32,
est_needed_step_err,16,""),
estimated_step_error:0.0,
while opt_iter <= 100 and not found_h do
(omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""),
array_x[1]:x_start,array_x[2]:glob_h,
glob_next_display:x_start,order_diff:1,term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]*expt(glob_h,term_no-1)
/factorial_1(term_no-1),term_no:1+term_no),
rows:order_diff,r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < MAX_TERMS
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),r_order:1+r_order),
atomall(),estimated_step_error:test_suggested_h(),
omniout_float(ALWAYS,"estimated_step_error",32,
estimated_step_error,32,""),
if estimated_step_error > est_needed_step_err
and opt_iter = 1
or glob_check_sign*glob_h
>= glob_check_sign*glob_max_h
then (found_h:true,
glob_h:glob_check_sign*glob_max_h,
best_h:glob_h)
elseif estimated_step_error > est_needed_step_err
and not found_h
then (glob_h:glob_h/2.0,best_h:glob_h,
found_h:true)
else (glob_h:glob_h*2.0,best_h:glob_h),
omniout_float(ALWAYS,"best_h",32,best_h,32,""),
opt_iter:1+opt_iter),
if not found_h and opt_iter = 1
then (omniout_str(ALWAYS,"Beginning glob_h too large."),
found_h:false),
if opt_iter > 100
then (glob_h:glob_check_sign*glob_max_h,found_h:false),
if glob_check_sign*glob_display_interval
< glob_check_sign*glob_h
then glob_h:glob_check_sign*glob_display_interval,
if glob_html_log then html_log_file:openw("entry.html"),
if found_h
then (omniout_str(ALWAYS,"START of Soultion"),
array_x[1]:x_start,array_x[2]:glob_h,
glob_next_display:x_start,order_diff:1,term_no:1,
while term_no <= order_diff do
(array_y[term_no]
:array_y_init[term_no]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),rows:order_diff,
r_order:1,
while r_order <= rows do
(term_no:1,
while term_no <= 1-r_order+rows do
(it:-1+r_order+term_no,
if term_no < MAX_TERMS
then array_y_higher[
r_order,term_no]
:array_y_init[it]
*expt(glob_h,term_no-1)
/factorial_1(term_no-1),
term_no:1+term_no),
r_order:1+r_order),current_iter:1,
glob_clock_start_sec:elapsed_time_seconds(),
glob_clock_sec:elapsed_time_seconds(),
glob_current_iter:0,glob_iter:0,
omniout_str(DEBUGL," "),
glob_reached_optimal_h:true,
glob_optimal_clock_start_sec
:elapsed_time_seconds(),
while glob_current_iter < glob_max_iter
and glob_check_sign*array_x[1]
< glob_check_sign*x_end
and glob_clock_sec-glob_orig_start_sec
< glob_max_sec do
(if reached_interval()
then (omniout_str(INFO," "),
omniout_str(INFO,
"TOP MAIN SOLVE Loop")),
glob_iter:1+glob_iter,
glob_clock_sec:elapsed_time_seconds(),
glob_current_iter:1+glob_current_iter,
atomall(),display_alot(current_iter),
if glob_look_poles then check_for_pole(),
if reached_interval()
then glob_next_display
:glob_display_interval
+glob_next_display,
array_x[1]:glob_h+array_x[1],
array_x[2]:glob_h,order_diff:2,ord:2,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[2,iii]
:array_y_higher[2,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:2,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),ord:1,
calc_term:2,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:1,
calc_term:2,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),ord:1,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
array_y_higher_work[1,iii]
:array_y_higher[1,iii]
/expt(glob_h,calc_term-1)
/factorial_3(iii-calc_term,iii-1),
iii:iii-1),temp_sum:0.0,ord:1,
calc_term:1,iii:MAX_TERMS,
while iii >= calc_term do
(
temp_sum
:array_y_higher_work[ord,iii]
+temp_sum,iii:iii-1),
array_y_higher_work2[ord,calc_term]
:temp_sum*expt(glob_h,calc_term-1)
/factorial_1(calc_term-1),
term_no:MAX_TERMS,
while term_no >= 1 do
(
array_y[term_no]
:array_y_higher_work2[1,term_no],
ord:1,
while ord <= order_diff do
(
array_y_higher[ord,term_no]
:array_y_higher_work2[
ord,term_no],ord:1+ord),
term_no:term_no-1)),
omniout_str(ALWAYS,"Finished!"),
if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds()-glob_orig_start_sec
>= glob_max_sec
then omniout_str(ALWAYS,
"Maximum Time Reached before Solution Completed!"),
glob_clock_sec:elapsed_time_seconds(),
omniout_str(INFO,
"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "),
omniout_int(INFO,
"Iterations ",32,
glob_iter,4," "),
prog_report(x_start,x_end),
if glob_html_log
then (logstart(html_log_file),
logitem_str(html_log_file,
"2014-01-08T20:35:58-06:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"div_sin_c"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "),
logitem_float(html_log_file,x_start),
logitem_float(html_log_file,x_end),
logitem_float(html_log_file,array_x[1]),
logitem_float(html_log_file,glob_h),
logitem_str(html_log_file,"16"),
logitem_good_digits(html_log_file,
array_last_rel_error[
1]),
logitem_integer(html_log_file,
MAX_TERMS),
if
glob_least_given_sing
< glob_large_float
then (
logitem_float(html_log_file,
glob_least_given_sing),
0)
else (
logitem_str(html_log_file,
"NOT GIVEN"),0),
if
glob_least_ratio_sing
< glob_large_float
then (
logitem_float(html_log_file,
glob_least_ratio_sing),
0)
else (
logitem_str(html_log_file,"NONE"),0),
if glob_least_3_sing < glob_large_float
then (
logitem_float(html_log_file,
glob_least_3_sing),0)
else (
logitem_str(html_log_file,"NONE"),
0),
if glob_least_6_sing < glob_large_float
then (
logitem_float(html_log_file,
glob_least_6_sing),0)
else (
logitem_str(html_log_file,"NONE"),
0),
logitem_integer(html_log_file,
glob_iter),
logitem_time(html_log_file,
glob_clock_sec),
if glob_percent_done < 100.0
then (
logitem_time(html_log_file,
glob_total_exp_sec),0)
else (
logitem_str(html_log_file,"Done"),
0),
log_revs(html_log_file,
" 225 | "),
logitem_str(html_log_file,
"div_sin_c diffeq.max"),
logitem_str(html_log_file,
"div_sin_c maxima results"),
logitem_str(html_log_file,
"All Tests - Maxima only - to save time"),
logend(html_log_file)),
if glob_html_log then close(html_log_file)))
(%o222) main_prog() := block(mode_declare([[d1, d2, d3, d4, est_err_2],
convfloat, [niii, done_once, term, ord, order_diff, term_no, html_log_file,
iiif, jjjf, rows, r_order, sub_iter, calc_term, iii], fixnum, [temp_sum],
convfloat, [current_iter], fixnum, [x_start, x_end], convfloat,
[it, opt_iter], fixnum, [tmp], convfloat, [subiter], fixnum,
[est_needed_step_err, estimated_step_error, min_value, est_answer, best_h,
found_h], convfloat, [repeat_it], fixnum]), Digits : 32, max_terms : 30,
glob_html_log : true, term : 1, while term <=
MAX_TERMS do (array_y_init : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_norms : 0.0, term : 1 + term),
term
term : 1, while term <= MAX_TERMS do (array_fact_1 : 0.0,
term
term : 1 + term), term : 1, while term <=
2 do (array_1st_rel_error : 0.0, term : 1 + term), term : 1,
term
while term <= 2 do (array_last_rel_error : 0.0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_pole : 0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_real_pole : 0, term : 1 + term),
term
term : 1, while term <= 2 do (array_type_complex_pole : 0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_y : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_x : 0.0,
term
term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp0 : 0.0,
term
term : 1 + term), term : 1, while term <=
MAX_TERMS do (array_tmp1_g : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp1 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp2 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_tmp3 : 0.0, term : 1 + term), term : 1,
term
while term <= MAX_TERMS do (array_m1 : 0.0, term : 1 + term), ord : 1,
term
while ord <= 2 do (term : 1, while term <=
MAX_TERMS do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_higher_work : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
MAX_TERMS do (array_y_higher_work2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_set_initial : 0.0,
ord, term
term : 1 + term), ord : 1 + ord), ord : 1,
while ord <= 2 do (term : 1, while term <=
3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord),
ord, term
ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_rad_test_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1,
while term <= 3 do (array_ord_test_poles : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), ord : 1, while ord <= MAX_TERMS do (term : 1,
while term <= MAX_TERMS do (array_fact_2 : 0.0, term : 1 + term),
ord, term
ord : 1 + ord), zero_ats_ar(array_y), zero_ats_ar(array_x),
zero_ats_ar(array_tmp0), zero_ats_ar(array_tmp1_g), zero_ats_ar(array_tmp1),
zero_ats_ar(array_tmp2), zero_ats_ar(array_tmp3), zero_ats_ar(array_m1),
zero_ats_ar(array_const_1), array_const_1 : 1, zero_ats_ar(array_const_0D0),
1
array_const_0D0 : 0.0, zero_ats_ar(array_const_2D0), array_const_2D0 : 2.0,
1 1
zero_ats_ar(array_m1), array_m1 : - 1.0, iiif : 0,
1
while iiif <= MAX_TERMS do (jjjf : 0,
while jjjf <= MAX_TERMS do (array_fact_1 : 0, array_fact_2 : 0,
iiif iiif, jjjf
jjjf : 1 + jjjf), iiif : 1 + iiif), array_y_set_initial : true,
1, 1
array_y_set_initial : false, array_y_set_initial : false,
1, 2 1, 3
array_y_set_initial : false, array_y_set_initial : false,
1, 4 1, 5
array_y_set_initial : false, array_y_set_initial : false,
1, 6 1, 7
array_y_set_initial : false, array_y_set_initial : false,
1, 8 1, 9
array_y_set_initial : false, array_y_set_initial : false,
1, 10 1, 11
array_y_set_initial : false, array_y_set_initial : false,
1, 12 1, 13
array_y_set_initial : false, array_y_set_initial : false,
1, 14 1, 15
array_y_set_initial : false, array_y_set_initial : false,
1, 16 1, 17
array_y_set_initial : false, array_y_set_initial : false,
1, 18 1, 19
array_y_set_initial : false, array_y_set_initial : false,
1, 20 1, 21
array_y_set_initial : false, array_y_set_initial : false,
1, 22 1, 23
array_y_set_initial : false, array_y_set_initial : false,
1, 24 1, 25
array_y_set_initial : false, array_y_set_initial : false,
1, 26 1, 27
array_y_set_initial : false, array_y_set_initial : false,
1, 28 1, 29
array_y_set_initial : false, ALWAYS : 1, INFO : 2, DEBUGL : 3,
1, 30
DEBUGMASSIVE : 4, MAX_TERMS : 30, glob_iolevel : INFO,
glob_orig_start_sec : elapsed_time_seconds(), glob_curr_iter_when_opt : 0,
glob_display_flag : true, glob_no_eqs : 1, glob_iter : - 1, opt_iter : - 1,
glob_max_iter : 50000, glob_max_hours : 0.0, glob_max_minutes : 15.0,
omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"),
omniout_str(ALWAYS,
"##############temp/div_sin_cpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "),
omniout_str(ALWAYS, "!"), omniout_str(ALWAYS,
"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"),
omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"),
omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000,"),
omniout_str(ALWAYS, "glob_display_interval:0.1,"),
omniout_str(ALWAYS, "glob_max_minutes:10,"),
omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"),
omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"),
omniout_str(ALWAYS, "glob_desired_digits_correct:10,"),
omniout_str(ALWAYS, "glob_display_interval:0.01,"),
omniout_str(ALWAYS, "glob_look_poles:true,"),
omniout_str(ALWAYS, "glob_max_iter:1000000000,"),
omniout_str(ALWAYS, "glob_max_minutes:10.0,"),
omniout_str(ALWAYS, "glob_subiter_method:3,"),
omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"),
omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"),
omniout_str(ALWAYS, "exact_soln_y (x) := (block("),
omniout_str(ALWAYS, " (-cos(x)/2.0) "), omniout_str(ALWAYS, "));"),
omniout_str(ALWAYS, "/* END USER DEF BLOCK */"),
omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"),
glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false,
glob_small_float : 0.0, glob_smallish_float : 0.0,
glob_large_float : 1.0E+100, glob_larger_float : 1.1E+100,
glob_almost_1 : 0.99, x_start : - 5.0, x_end : 5.0,
array_y_init : exact_soln_y(x_start), glob_look_poles : true,
1 + 0
glob_max_iter : 1000000, glob_display_interval : 0.1, glob_max_minutes : 10,
glob_desired_digits_correct : 10, glob_display_interval : 0.01,
glob_look_poles : true, glob_max_iter : 1000000000, glob_max_minutes : 10.0,
glob_subiter_method : 3, glob_last_good_h : glob_h,
glob_max_sec : 3600.0 glob_max_hours + 60.0 glob_max_minutes,
omniout_str(ALWAYS, "START of Optimize"),
glob_check_sign : my_check_sign(x_start, x_end), found_h : false,
glob_h : glob_min_h glob_check_sign, if mabs(glob_max_h) < mabs(glob_h)
then glob_h : mabs(glob_max_h) glob_check_sign,
if mabs(glob_display_interval) < mabs(glob_h)
then glob_h : mabs(glob_display_interval),
if glob_h > 0.0 then (glob_neg_h : false,
glob_display_interval : mabs(glob_display_interval))
else (glob_neg_h : true, glob_display_interval :
- mabs(glob_display_interval)), chk_data(), best_h : glob_h,
min_value : glob_larger_float, est_answer : est_size_answer(), opt_iter : 1,
est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h,
est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32,
est_needed_step_err, 16, ""), estimated_step_error : 0.0,
while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter",
32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h,
1 2
glob_next_display : x_start, order_diff : 1, term_no : 1,
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
if term_no < MAX_TERMS then array_y_higher :
r_order, term_no
array_y_init expt(glob_h, term_no - 1)
it
----------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(),
omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32,
""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1))
or (glob_check_sign glob_h >= glob_check_sign glob_max_h)
then (found_h : true, glob_h : glob_check_sign glob_max_h, best_h : glob_h)
elseif (estimated_step_error > est_needed_step_err) and (not found_h)
glob_h
then (glob_h : ------, best_h : glob_h, found_h : true)
2.0
else (glob_h : glob_h 2.0, best_h : glob_h),
omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter),
if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS,
"Beginning glob_h too large."), found_h : false),
if opt_iter > 100 then (glob_h : glob_check_sign glob_max_h, found_h : false),
if glob_check_sign glob_display_interval < glob_check_sign glob_h
then glob_h : glob_check_sign glob_display_interval,
if glob_html_log then html_log_file : openw("entry.html"),
if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start,
1
array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1,
2
while term_no <= order_diff do (array_y :
term_no
array_y_init expt(glob_h, term_no - 1)
term_no
---------------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1,
while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no,
if term_no < MAX_TERMS then array_y_higher :
r_order, term_no
array_y_init expt(glob_h, term_no - 1)
it
----------------------------------------, term_no : 1 + term_no),
factorial_1(term_no - 1)
r_order : 1 + r_order), current_iter : 1,
glob_clock_start_sec : elapsed_time_seconds(),
glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0,
omniout_str(DEBUGL, " "), glob_reached_optimal_h : true,
glob_optimal_clock_start_sec : elapsed_time_seconds(),
while (glob_current_iter < glob_max_iter)
and (glob_check_sign array_x < glob_check_sign x_end)
1
and (glob_clock_sec - glob_orig_start_sec < glob_max_sec) do (if reached_interval
() then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")),
glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(),
glob_current_iter : 1 + glob_current_iter, atomall(),
display_alot(current_iter), if glob_look_poles then check_for_pole(),
if reached_interval() then glob_next_display :
glob_display_interval + glob_next_display, array_x : glob_h + array_x ,
1 1
array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, iii : MAX_TERMS,
2
while iii >= calc_term do (array_y_higher_work :
2, iii
array_y_higher
2, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 2, calc_term : 1, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 2, iii : MAX_TERMS,
factorial_1(calc_term - 1)
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 2, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, ord : 1, calc_term : 1, iii : MAX_TERMS,
factorial_1(calc_term - 1)
while iii >= calc_term do (array_y_higher_work :
1, iii
array_y_higher
1, iii
---------------------------
expt(glob_h, calc_term - 1)
-------------------------------------, iii : iii - 1), temp_sum : 0.0,
factorial_3(iii - calc_term, iii - 1)
ord : 1, calc_term : 1, iii : MAX_TERMS,
while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum,
ord, iii
iii : iii - 1), array_y_higher_work2 :
ord, calc_term
temp_sum expt(glob_h, calc_term - 1)
------------------------------------, term_no : MAX_TERMS,
factorial_1(calc_term - 1)
while term_no >= 1 do (array_y : array_y_higher_work2 ,
term_no 1, term_no
ord : 1, while ord <= order_diff do (array_y_higher :
ord, term_no
array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)),
ord, term_no
omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter
then omniout_str(ALWAYS,
"Maximum Iterations Reached before Solution Completed!"),
if elapsed_time_seconds() - glob_orig_start_sec >= glob_max_sec
then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"),
glob_clock_sec : elapsed_time_seconds(),
omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "),
omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "),
prog_report(x_start, x_end), if glob_html_log
then (logstart(html_log_file), logitem_str(html_log_file,
"2014-01-08T20:35:58-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "div_sin_c"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "),
logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end),
logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h),
1
logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file,
array_last_rel_error ), logitem_integer(html_log_file, MAX_TERMS),
1
if glob_least_given_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_given_sing), 0)
else (logitem_str(html_log_file, "NOT GIVEN"), 0),
if glob_least_ratio_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_ratio_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
if glob_least_3_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_3_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
if glob_least_6_sing < glob_large_float
then (logitem_float(html_log_file, glob_least_6_sing), 0)
else (logitem_str(html_log_file, "NONE"), 0),
logitem_integer(html_log_file, glob_iter),
logitem_time(html_log_file, glob_clock_sec),
if glob_percent_done < 100.0 then (logitem_time(html_log_file,
glob_total_exp_sec), 0) else (logitem_str(html_log_file, "Done"), 0),
log_revs(html_log_file, " 225 | "), logitem_str(html_log_file, "div_sin_c diffeq.max"),
logitem_str(html_log_file,
"div_sin_c maxima results"),
logitem_str(html_log_file, "All Tests - Maxima only - to save time"),
logend(html_log_file)), if glob_html_log then close(html_log_file)))
(%i223) main():=(alias(convfloat,convfloat),compile(all),main_prog())
(%o223) main() := (alias(convfloat, convfloat), compile(all), main_prog())
(%i224) main()
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
warning: encountered undefined variable glob_iolevel in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable secs in translation.
warning: encountered undefined variable glob_sec_in_year in translation.
warning: encountered undefined variable sec_temp in translation.
warning: encountered undefined variable glob_sec_in_day in translation.
warning: encountered undefined variable glob_sec_in_hour in translation.
warning: encountered undefined variable glob_sec_in_minute in translation.
warning: encountered undefined variable years_int in translation.
warning: encountered undefined variable days_int in translation.
warning: encountered undefined variable hours_int in translation.
warning: encountered undefined variable minutes_int in translation.
warning: encountered undefined variable sec_int in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_sec_in_year in translation.
warning: encountered undefined variable glob_sec_in_day in translation.
warning: encountered undefined variable glob_sec_in_hour in translation.
warning: encountered undefined variable glob_sec_in_minute in translation.
warning: encountered undefined variable iii in translation.
warning: encountered undefined variable fixnum in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable iii_ats in translation.
warning: encountered undefined variable ma_ats in translation.
warning: encountered undefined variable ret_ats in translation.
warning: encountered undefined variable lll_ats in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable iii_att in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable ma_att in translation.
warning: encountered undefined variable lll_att in translation.
warning: encountered undefined variable ret_att in translation.
warning: encountered undefined variable al_att in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable good_digits in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable errflag in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable sub1 in translation.
warning: encountered undefined variable sub2 in translation.
warning: encountered undefined variable rrr in translation.
warning: encountered undefined variable ms2 in translation.
warning: encountered undefined variable sec_left in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_small_float in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable ret in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temp in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable rm0 in translation.
warning: encountered undefined variable rm1 in translation.
warning: encountered undefined variable rm2 in translation.
warning: encountered undefined variable rm3 in translation.
warning: encountered undefined variable rm4 in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable nr1 in translation.
warning: encountered undefined variable dr2 in translation.
warning: encountered undefined variable nr2 in translation.
warning: encountered undefined variable dr1 in translation.
warning: encountered undefined variable ds1 in translation.
warning: encountered undefined variable ds2 in translation.
warning: encountered undefined variable rcs in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable ord_no in translation.
warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any.
warning: encountered undefined variable rad_c in translation.
warning: encountered undefined variable glob_six_term_ord_save in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_fact_1 in translation.
warning: encountered undefined variable MAX_TERMS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_fact_2 in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable glob_log_10 in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable glob_desired_digits_correct in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_x in translation.
warning: encountered undefined variable array_given_rad_poles in translation.
warning: encountered undefined variable rad_given in translation.
warning: variable glob_least_given_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable array_given_ord_poles in translation.
warning: encountered undefined variable glob_type_given_pole in translation.
warning: encountered undefined variable array_rad_test_poles in translation.
warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable array_ord_test_poles in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: variable glob_least_3_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: variable glob_least_6_sing (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_estimated_size_answer in translation.
warning: encountered undefined variable array_y in translation.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable ALWAYS in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_next_display in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable ind_var in translation.
warning: encountered undefined variable analytic_val_y in translation.
warning: encountered undefined variable term_no in translation.
warning: encountered undefined variable numeric_val in translation.
warning: encountered undefined variable abserr in translation.
warning: encountered undefined variable relerr in translation.
warning: variable glob_good_digits (declared type fixnum) assigned type any.
warning: encountered undefined variable array_1st_rel_error in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable array_last_rel_error in translation.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable glob_good_digits in translation.
warning: encountered undefined variable glob_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable glob_small_float in translation.
warning: encountered undefined variable array_y_higher in translation.
warning: encountered undefined variable tmp in translation.
warning: variable glob_normmax (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_normmax in translation.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable hnew in translation.
warning: encountered undefined variable sz2 in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_current_iter in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_optimal_start (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_reached_optimal_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable clock_sec1 in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_clock_start_sec in translation.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_optimal_clock_start_sec in translation.
warning: encountered undefined variable opt_clock_sec in translation.
warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_optimal_expect_sec in translation.
warning: encountered undefined variable total_clock_sec in translation.
warning: variable glob_total_exp_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable percent_done in translation.
warning: variable glob_percent_done (declared type convfloat) assigned type any.
warning: encountered undefined variable INFO in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable expect_sec in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable left_sec in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable last_no in translation.
warning: encountered undefined variable found_sing in translation.
warning: variable tmp_rad (declared type convfloat) assigned type any.
warning: encountered undefined variable tmp_rad in translation.
warning: encountered undefined variable prev_tmp_rad in translation.
warning: encountered undefined variable cnt in translation.
warning: encountered undefined variable tmp_ratio in translation.
warning: encountered undefined variable glob_upper_ratio_limit in translation.
warning: encountered undefined variable glob_lower_ratio_limit in translation.
warning: variable tmp_ord (declared type convfloat) assigned type any.
warning: encountered undefined variable tmp_ord in translation.
warning: encountered undefined variable glob_min_pole_est in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_ratio_of_radius in translation.
warning: encountered undefined variable term in translation.
warning: encountered undefined variable ratio in translation.
warning: encountered undefined variable h_new in translation.
warning: encountered undefined variable glob_h in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable array_tmp1 in translation.
warning: encountered undefined variable array_tmp1_g in translation.
warning: encountered undefined variable array_const_2D0 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable array_const_0D0 in translation.
warning: encountered undefined variable array_tmp3 in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temporary in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_set_initial in translation.
warning: encountered undefined variable kkk in translation.
warning: encountered undefined variable order_d in translation.
warning: encountered undefined variable adj3 in translation.
warning: encountered undefined variable adj2 in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_init in translation.
warning: encountered undefined variable array_norms in translation.
warning: encountered undefined variable array_type_pole in translation.
warning: encountered undefined variable array_type_real_pole in translation.
warning: encountered undefined variable array_type_complex_pole in translation.
warning: encountered undefined variable array_tmp0 in translation.
warning: encountered undefined variable array_m1 in translation.
warning: encountered undefined variable ord in translation.
warning: encountered undefined variable array_y_higher_work in translation.
warning: encountered undefined variable array_y_higher_work2 in translation.
warning: encountered undefined variable array_const_1 in translation.
warning: encountered undefined variable iiif in translation.
warning: encountered undefined variable jjjf in translation.
warning: encountered undefined variable INFO in translation.
warning: variable glob_orig_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable x_start in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_max_minutes in translation.
warning: encountered undefined variable glob_max_hours in translation.
warning: encountered undefined variable x_end in translation.
warning: variable glob_check_sign (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_min_h in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_max_h in translation.
warning: encountered undefined variable glob_display_interval in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable est_answer in translation.
warning: encountered undefined variable est_needed_step_err in translation.
warning: encountered undefined variable opt_iter in translation.
warning: encountered undefined variable found_h in translation.
warning: variable glob_next_display (declared type convfloat) assigned type any.
warning: encountered undefined variable order_diff in translation.
warning: encountered undefined variable r_order in translation.
warning: encountered undefined variable rows in translation.
warning: encountered undefined variable it in translation.
warning: encountered undefined variable estimated_step_error in translation.
warning: encountered undefined variable best_h in translation.
warning: encountered undefined variable glob_html_log in translation.
warning: variable glob_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable DEBUGL in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_current_iter in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable current_iter in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_next_display in translation.
warning: encountered undefined variable calc_term in translation.
warning: encountered undefined variable temp_sum in translation.
warning: encountered undefined variable html_log_file in translation.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable glob_percent_done in translation.
WARNING: in $ADJUST_FOR_POLE : $GLOB_CURR_ITER_WHEN_OPT is neither declared
nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $ADJUST_FOR_POLE : $GLOB_OPTIMAL_START is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
Warning: modedcclare has a function or macro call which has not been translated properly.
The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################"
"##############temp/div_sin_cpostode.ode#################"
"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:-5.0,"
"x_end:5.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter:1000000,"
"glob_display_interval:0.1,"
"glob_max_minutes:10,"
"/* END SECOND INPUT BLOCK */"
"/* BEGIN OVERRIDE BLOCK */"
"glob_desired_digits_correct:10,"
"glob_display_interval:0.01,"
"glob_look_poles:true,"
"glob_max_iter:1000000000,"
"glob_max_minutes:10.0,"
"glob_subiter_method:3,"
"/* END OVERRIDE BLOCK */"
"!"
"/* BEGIN USER DEF BLOCK */"
"exact_soln_y (x) := (block("
" (-cos(x)/2.0) "
"));"
"/* END USER DEF BLOCK */"
"#######END OF ECHO OF PROBLEM#################"
"START of Optimize"
min_size = 0.0 ""
min_size = 1. ""
glob_desired_digits_correct = 10. ""
estimated_h = 1.000000E-6 ""
estimated_answer = 1. ""
desired_abs_gbl_error = 1.0000000000E-10 ""
range = 10. ""
estimated_steps = 10000000. ""
step_error = 9.999999999999999000000000000000000E-18 ""
est_needed_step_err = 9.999999999999999000000000000000000E-18 ""
opt_iter = 1
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.51683825530239140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 ""
estimated_step_error = 3.51683825530239140000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 ""
best_h = 2.000000E-6 ""
opt_iter = 2
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.360110054102917700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 ""
estimated_step_error = 2.360110054102917700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 ""
best_h = 4.000000E-6 ""
opt_iter = 3
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.5838428481543265000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 ""
estimated_step_error = 1.5838428481543265000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 ""
best_h = 8.000000E-6 ""
opt_iter = 4
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.062898676782579900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
estimated_step_error = 1.062898676782579900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
best_h = 1.600000E-5 ""
opt_iter = 5
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 7.132988702271906000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-153 ""
estimated_step_error = 7.132988702271906000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-153 ""
best_h = 3.200000E-5 ""
opt_iter = 6
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.7868628926472080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 ""
estimated_step_error = 4.7868628926472080000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 ""
best_h = 6.400000E-5 ""
opt_iter = 7
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.212402873159667000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 ""
estimated_step_error = 3.212402873159667000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 ""
best_h = 1.280000E-4 ""
opt_iter = 8
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.1557984379181366000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 ""
estimated_step_error = 2.1557984379181366000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 ""
best_h = 2.560000E-4 ""
opt_iter = 9
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.44672024893290560000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
estimated_step_error = 1.44672024893290560000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
best_h = 5.120000E-4 ""
opt_iter = 10
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 9.708619645801713000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-114 ""
estimated_step_error = 9.708619645801713000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-114 ""
best_h = 1.024000E-3 ""
opt_iter = 11
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 6.5151355142807510000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-106 ""
estimated_step_error = 6.5151355142807510000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-106 ""
best_h = 2.048000E-3 ""
opt_iter = 12
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 4.37195312898642800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 ""
estimated_step_error = 4.37195312898642800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 ""
best_h = 4.096000E-3 ""
opt_iter = 13
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.933591857446749000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 ""
estimated_step_error = 2.933591857446749000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 ""
best_h = 8.192000E-3 ""
opt_iter = 14
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.9681951968960320000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 ""
estimated_step_error = 1.9681951968960320000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 ""
best_h = 1.638400E-2 ""
opt_iter = 15
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.320155630690494400000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
estimated_step_error = 1.320155630690494400000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
best_h = 3.276800E-2 ""
opt_iter = 16
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 8.8503159160682780000000000000000000000000000000000000000000000000000000000000000000E-67 ""
estimated_step_error = 8.8503159160682780000000000000000000000000000000000000000000000000000000000000000000E-67 ""
best_h = 6.553600E-2 ""
opt_iter = 17
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 5.92713145348630100000000000000000000000000000000000000000000000000000000000E-59 ""
estimated_step_error = 5.92713145348630100000000000000000000000000000000000000000000000000000000000E-59 ""
best_h = 0.131072 ""
opt_iter = 18
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 3.9612274710532014000000000000000000000000000000000000000000000000000E-51 ""
estimated_step_error = 3.9612274710532014000000000000000000000000000000000000000000000000000E-51 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5. " "
y[1] (analytic) = -0.14183109273161312 " "
y[1] (numeric) = -0.14183109273161312 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2720105554446847 " "
Order of pole (three term test) = 22.91953576453822 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.99 " "
y[1] (analytic) = -0.13702945977271372 " "
y[1] (numeric) = -0.1370294597727136 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 8.1020754695132500000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26356599922604296 " "
Order of pole (three term test) = 22.924891708617597 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.98 " "
y[1] (analytic) = -0.1322141239820279 " "
y[1] (numeric) = -0.13221412398202767 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.67943180529800480000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25501602012187713 " "
Order of pole (three term test) = 22.930077701678666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.970000000000000 " "
y[1] (analytic) = -0.1273855668891219 " "
y[1] (numeric) = -0.1273855668891216 " "
absolute error = 3.05311331771918050000000000000000E-16 " "
relative error = 2.39674979848906370000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24636403800983075 " "
Order of pole (three term test) = 22.935091669393344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.960000000000000 " "
y[1] (analytic) = -0.1225442713456813 " "
y[1] (numeric) = -0.12254427134568088 " "
absolute error = 4.1633363423443370000000000000000E-16 " "
relative error = 3.39741409094523300000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23761351356739058 " "
Order of pole (three term test) = 22.939931606241423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.950000000000001 " "
y[1] (analytic) = -0.11769072147722602 " "
y[1] (numeric) = -0.1176907214772255 " "
absolute error = 5.2735593669694940000000000000000E-16 " "
relative error = 4.48086246798135630000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22876794688766142 " "
Order of pole (three term test) = 22.944595576312675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.940000000000001 " "
y[1] (analytic) = -0.11282540263469829 " "
y[1] (numeric) = -0.11282540263469766 " "
absolute error = 6.2450045135165060000000000000000E-16 " "
relative error = 5.5351050097612680000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21983087607937582 " "
Order of pole (three term test) = 22.949081714081274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.9300000000000015 " "
y[1] (analytic) = -0.10794880134592795 " "
y[1] (numeric) = -0.10794880134592721 " "
absolute error = 7.3552275381416620000000000000000E-16 " "
relative error = 6.8136259471482470000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21080587585169777 " "
Order of pole (three term test) = 22.953388225151915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.920000000000002 " "
y[1] (analytic) = -0.10306140526698004 " "
y[1] (numeric) = -0.10306140526697921 " "
absolute error = 8.3266726846886740000000000000000E-16 " "
relative error = 8.0793316015034640000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20169655608438633 " "
Order of pole (three term test) = 22.957513386977585 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.910000000000002 " "
y[1] (analytic) = -9.81637031333896500E-2 " "
y[1] (numeric) = -9.81637031333887200E-2 " "
absolute error = 9.2981178312356860000000000000000E-16 " "
relative error = 9.472052840754129000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19250656038389283 " "
Order of pole (three term test) = 22.96145554954856 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.900000000000002 " "
y[1] (analytic) = -9.32561847112887600E-2 " "
y[1] (numeric) = -9.32561847112877200E-2 " "
absolute error = 1.0408340855860843000000000000000E-15 " "
relative error = 1.1161019387704912000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18323956462596586 " "
Order of pole (three term test) = 22.965213136052377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.890000000000002 " "
y[1] (analytic) = -8.83393407484299500E-2 " "
y[1] (numeric) = -8.83393407484288100E-2 " "
absolute error = 1.1379786002407855000000000000000E-15 " "
relative error = 1.2881900528117884000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17389927548535003 " "
Order of pole (three term test) = 22.968784643504534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.880000000000003 " "
y[1] (analytic) = -8.34136629251121600E-2 " "
y[1] (numeric) = -8.34136629251109200E-2 " "
absolute error = 1.2490009027033011000000000000000E-15 " "
relative error = 1.4973576976527692000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16448942895316607 " "
Order of pole (three term test) = 22.97216864334966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.870000000000003 " "
y[1] (analytic) = -7.84796438050130300E-2 " "
y[1] (numeric) = -7.84796438050116700E-2 " "
absolute error = 1.3600232051658168000000000000000E-15 " "
relative error = 1.7329630197416146000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15501378884256412 " "
Order of pole (three term test) = 22.975363782032954 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.860000000000003 " "
y[1] (analytic) = -7.35377767859328700E-2 " "
y[1] (numeric) = -7.35377767859314200E-2 " "
absolute error = 1.457167719820518000000000000000E-15 " "
relative error = 1.981522672438557000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14547614528324804 " "
Order of pole (three term test) = 22.97836878154153 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.850000000000003 " "
y[1] (analytic) = -6.85885560504554200E-2 " "
y[1] (numeric) = -6.85885560504538400E-2 " "
absolute error = 1.5681900222830336000000000000000E-15 " "
relative error = 2.286372702072099200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1358803132054746 " "
Order of pole (three term test) = 22.981182439915656 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.840000000000003 " "
y[1] (analytic) = -6.36324765165298200E-2 " "
y[1] (numeric) = -6.36324765165281600E-2 " "
absolute error = 1.6653345369377348000000000000000E-15 " "
relative error = 2.61711413432908000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12623013081413237 " "
Order of pole (three term test) = 22.98380363172949 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.830000000000004 " "
y[1] (analytic) = -5.86700337879794900E-2 " "
y[1] (numeric) = -5.867003378797772000E-2 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 3.0277072036801794000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11652945805351067 " "
Order of pole (three term test) = 22.98623130854127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.820000000000004 " "
y[1] (analytic) = -5.37017241049418800E-2 " "
y[1] (numeric) = -5.37017241049400E-2 " "
absolute error = 1.887379141862766000000000000000E-15 " "
relative error = 3.5145596781483607000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10678217506337286 " "
Order of pole (three term test) = 22.988464499312624 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.810000000000004 " "
y[1] (analytic) = -4.87280442942450760E-2 " "
y[1] (numeric) = -4.87280442942430800E-2 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 4.1011320549987657000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.69921806269529600E-2 " "
Order of pole (three term test) = 22.990502310797037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.800000000000004 " "
y[1] (analytic) = -4.374949171972541000E-2 " "
y[1] (numeric) = -4.3749491719723305E-2 " "
absolute error = 2.1024848528838902000000000000000E-15 " "
relative error = 4.805735495975921000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.71633906114942300E-2 " "
Order of pole (three term test) = 22.992343927897068 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7900000000000045 " "
y[1] (analytic) = -3.87665642324915570E-2 " "
y[1] (numeric) = -3.876656423248934000E-2 " "
absolute error = 2.213507155346405900000000000000E-15 " "
relative error = 5.7098357803170790000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.72997364019538400E-2 " "
Order of pole (three term test) = 22.99398861399043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.780000000000005 " "
y[1] (analytic) = -3.37797601211398200E-2 " "
y[1] (numeric) = -3.377976012113749000E-2 " "
absolute error = 2.3245294578089215000000000000000E-15 " "
relative error = 6.881426775894126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.7405163328502200E-2 " "
Order of pole (three term test) = 22.99543571122463 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.770000000000005 " "
y[1] (analytic) = -2.878957806192567500E-2 " "
y[1] (numeric) = -2.87895780619232400E-2 " "
absolute error = 2.4320823133194835000000000000000E-15 " "
relative error = 8.447787279438881000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.748362908844252000E-2 " "
Order of pole (three term test) = 22.996684640780064 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.760000000000005 " "
y[1] (analytic) = -2.37965170688965700E-2 " "
y[1] (numeric) = -2.37965170688940300E-2 " "
absolute error = 2.5396351688300456000000000000000E-15 " "
relative error = 1.067229780508298200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.75391021631857760E-2 " "
Order of pole (three term test) = 22.997734903101563 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.750000000000005 " "
y[1] (analytic) = -1.88010764439909400E-2 " "
y[1] (numeric) = -1.880107644398829300E-2 " "
absolute error = 2.6471880243406076000000000000000E-15 " "
relative error = 1.40799811767516210000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.75755602309099930E-2 " "
Order of pole (three term test) = 22.99858607809819 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.7400000000000055 " "
y[1] (analytic) = -1.380375572710842400E-2 " "
y[1] (numeric) = -1.380375572710567000E-2 " "
absolute error = 2.753006156375193000000000000000E-15 " "
relative error = 1.994389216094803700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.759698857554258000E-2 " "
Order of pole (three term test) = 22.999237825311305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.730000000000006 " "
y[1] (analytic) = -8.80505464615629000E-3 " "
y[1] (numeric) = -8.80505464615343100E-3 " "
absolute error = 2.858824288409778000000000000000E-15 " "
relative error = 3.24679902998416200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.76073784926999100E-2 " "
Order of pole (three term test) = 22.99968988405071 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.720000000000006 " "
y[1] (analytic) = -3.80547306707706000E-3 " "
y[1] (numeric) = -3.8054730670740950000E-3 " "
absolute error = 2.9650761013133575000000000000000E-15 " "
relative error = 7.79160973957647500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.610725693222086000E-3 " "
Order of pole (three term test) = 22.999942073498946 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.710000000000006 " "
y[1] (analytic) = 1.1944890561376607000E-3 " "
y[1] (numeric) = 1.1944890561407318000E-3 " "
absolute error = 3.07111107378244000000000000000E-15 " "
relative error = 2.57106673183994800000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.3889712950580397000E-3 " "
Order of pole (three term test) = 22.999994292783583 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.700000000000006 " "
y[1] (analytic) = 6.1943317314421720000E-3 " "
y[1] (numeric) = 6.194331731445348000E-3 " "
absolute error = 3.177146046251522000000000000000E-15 " "
relative error = 5.12911833592066300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.238771272667267400E-2 " "
Order of pole (three term test) = 22.999846521017602 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.690000000000007 " "
y[1] (analytic) = 1.119355497873546400E-2 " "
y[1] (numeric) = 1.119355497873874800E-2 " "
absolute error = 3.283831540024096000000000000000E-15 " "
relative error = 2.933680628060015000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.23814992383639280E-2 " "
Order of pole (three term test) = 22.99949881730775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.680000000000007 " "
y[1] (analytic) = 1.619165887985881700E-2 " "
y[1] (numeric) = 1.619165887986220600E-2 " "
absolute error = 3.389649672058681000000000000000E-15 " "
relative error = 2.09345422677792800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.23663334487758700E-2 " "
Order of pole (three term test) = 22.998951320730878 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.670000000000007 " "
y[1] (analytic) = 2.118814362858718000E-2 " "
y[1] (numeric) = 2.11881436285906780E-2 " "
absolute error = 3.497202527569243000000000000000E-15 " "
relative error = 1.650546923257021300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.23382215573536600E-2 " "
Order of pole (three term test) = 22.9982042502783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.660000000000007 " "
y[1] (analytic) = 2.61825095806094200E-2 " "
y[1] (numeric) = 2.618250958061302000E-2 " "
absolute error = 3.6012859361278515000000000000000E-15 " "
relative error = 1.375454833708888700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.22931749418105600E-2 " "
Order of pole (three term test) = 22.997257904768244 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6500000000000075 " "
y[1] (analytic) = 3.117425730349228000E-2 " "
y[1] (numeric) = 3.11742573034959900E-2 " "
absolute error = 3.70536934468646000000000000000E-15 " "
relative error = 1.18859907667194600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.222721175352377000E-2 " "
Order of pole (three term test) = 22.996112662726304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.640000000000008 " "
y[1] (analytic) = 3.61628876266232600E-2 " "
y[1] (numeric) = 3.61628876266270660E-2 " "
absolute error = 3.809452753245068400000000000000E-15 " "
relative error = 1.053414979626940700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.21363585102207200E-2 " "
Order of pole (three term test) = 22.994768982234014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.630000000000008 " "
y[1] (analytic) = 4.114790169112720300E-2 " "
y[1] (numeric) = 4.114790169113113000E-2 " "
absolute error = 3.920475055707584000000000000000E-15 " "
relative error = 9.52776422267229000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.20166516853188900E-2 " "
Order of pole (three term test) = 22.993227400745667 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.620000000000008 " "
y[1] (analytic) = 4.61288009997518500E-2 " "
y[1] (numeric) = 4.61288009997558700E-2 " "
absolute error = 4.0245584642661925000000000000000E-15 " "
relative error = 8.724611039181015000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.1864139293283700E-2 " "
Order of pole (three term test) = 22.991488534873305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.610000000000008 " "
y[1] (analytic) = 5.110508746671706000E-2 " "
y[1] (numeric) = 5.11050874667211800E-2 " "
absolute error = 4.128641872824801000000000000000E-15 " "
relative error = 8.078729687164004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10167488247037001 " "
Order of pole (three term test) = 22.989553080140077 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.6000000000000085 " "
y[1] (analytic) = 5.60762634675230200E-2 " "
y[1] (numeric) = 5.607626346752725000E-2 " "
absolute error = 4.232725281383409300000000000000E-15 " "
relative error = 7.548158560591012000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11144495705011512 " "
Order of pole (three term test) = 22.987421810702088 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.590000000000009 " "
y[1] (analytic) = 6.1041831888712310E-2 " "
y[1] (numeric) = 6.10418318887166400E-2 " "
absolute error = 4.336808689942018000000000000000E-15 " "
relative error = 7.104650295961987000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12117045513295327 " "
Order of pole (three term test) = 22.98509557903868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.580000000000009 " "
y[1] (analytic) = 6.60012961775807300E-2 " "
y[1] (numeric) = 6.60012961775851700E-2 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 6.728492250443265000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13084748664932278 " "
Order of pole (three term test) = 22.982575315611516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.570000000000010 " "
y[1] (analytic) = 7.0954160391832310E-2 " "
y[1] (numeric) = 7.09541603918368400E-2 " "
absolute error = 4.538036613155327400000000000000E-15 " "
relative error = 6.395730127866768000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14047218091564237 " "
Order of pole (three term test) = 22.979862028492366 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.560000000000010 " "
y[1] (analytic) = 7.58999292491729500E-2 " "
y[1] (numeric) = 7.5899929249177600E-2 " "
absolute error = 4.649058915617843000000000000000E-15 " "
relative error = 6.125248022768746000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1500406881825332 " "
Order of pole (three term test) = 22.97695680295988 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.55000000000001 " "
y[1] (analytic) = 8.08381081768384300E-2 " "
y[1] (numeric) = 8.08381081768431700E-2 " "
absolute error = 4.746203430272544000000000000000E-15 " "
relative error = 5.8712450567125190000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15954918117466696 " "
Order of pole (three term test) = 22.97386080106556 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.54000000000001 " "
y[1] (analytic) = 8.57682033610510800E-2 " "
y[1] (numeric) = 8.57682033610559300E-2 " "
absolute error = 4.8433479449272454000000000000000E-15 " "
relative error = 5.647020405147835000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1689938566216246 " "
Order of pole (three term test) = 22.970575261168868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.53000000000001 " "
y[1] (analytic) = 9.06897217964008900E-2 " "
y[1] (numeric) = 9.06897217964058400E-2 " "
absolute error = 4.954370247389761000000000000000E-15 " "
relative error = 5.4629897955937710000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17837093677915522 " "
Order of pole (three term test) = 22.967101497441966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.52000000000001 " "
y[1] (analytic) = 9.56021713351455800E-2 " "
y[1] (numeric) = 9.56021713351506400E-2 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 5.298407430616716000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18767667094022164 " "
Order of pole (three term test) = 22.963440899344025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.5100000000000104 " "
y[1] (analytic) = 0.10050506073642497 " "
y[1] (numeric) = 0.10050506073643013 " "
absolute error = 5.162537064506978000000000000000E-15 " "
relative error = 5.136594144294641000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19690733693523407 " "
Order of pole (three term test) = 22.95959493106547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.500000000000010 " "
y[1] (analytic) = 0.10539789971538464 " "
y[1] (numeric) = 0.10539789971538992 " "
absolute error = 5.2735593669694940000000000000000E-15 " "
relative error = 5.0034767117847280000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20605924262086864 " "
Order of pole (three term test) = 22.955565130942343 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.490000000000010 " "
y[1] (analytic) = 0.11028019899220408 " "
y[1] (numeric) = 0.11028019899220945 " "
absolute error = 5.370703881624195000000000000000E-15 " "
relative error = 4.870052766230372000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21512872735687458 " "
Order of pole (three term test) = 22.951353110840955 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.480000000000011 " "
y[1] (analytic) = 0.11515147034102415 " "
y[1] (numeric) = 0.11515147034102963 " "
absolute error = 5.4817261840867100000000000000000E-15 " "
relative error = 4.760448275521304000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22411216347028282 " "
Order of pole (three term test) = 22.9469605555132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.470000000000011 " "
y[1] (analytic) = 0.12001122663876936 " "
y[1] (numeric) = 0.12001122663877493 " "
absolute error = 5.578870698741412000000000000000E-15 " "
relative error = 4.648624012096523300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23300595770642532 " "
Order of pole (three term test) = 22.942389221922628 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.4600000000000115 " "
y[1] (analytic) = 0.12485898191385972 " "
y[1] (numeric) = 0.1248589819138654 " "
absolute error = 5.676015213396113000000000000000E-15 " "
relative error = 4.545940649517709000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24180655266618978 " "
Order of pole (three term test) = 22.937640938541744 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.450000000000012 " "
y[1] (analytic) = 0.12969425139480747 " "
y[1] (numeric) = 0.12969425139481328 " "
absolute error = 5.800915303666443000000000000000E-15 " "
relative error = 4.472762085659174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25051042822893255 " "
Order of pole (three term test) = 22.932717604620567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.440000000000012 " "
y[1] (analytic) = 0.13451655155869396 " "
y[1] (numeric) = 0.13451655155869985 " "
absolute error = 5.88418203051333000000000000000E-15 " "
relative error = 4.374318225029631000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2591141029604778 " "
Order of pole (three term test) = 22.927621189427025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.430000000000012 " "
y[1] (analytic) = 0.13932540017952133 " "
y[1] (numeric) = 0.13932540017952733 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 4.303023228536218500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26761413550564783 " "
Order of pole (three term test) = 22.922353731459275 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.420000000000012 " "
y[1] (analytic) = 0.14412031637643485 " "
y[1] (numeric) = 0.14412031637644096 " "
absolute error = 6.106226635438361000000000000000E-15 " "
relative error = 4.236895108868073400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27600712596475613 " "
Order of pole (three term test) = 22.91691733763022 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.410000000000013 " "
y[1] (analytic) = 0.1489008206618106 " "
y[1] (numeric) = 0.1489008206618168 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 4.175429598216746600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2842897172535246 " "
Order of pole (three term test) = 22.91131418242495 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.400000000000013 " "
y[1] (analytic) = 0.15366643498920377 " "
y[1] (numeric) = 0.15366643498921007 " "
absolute error = 6.300515664747763000000000000000E-15 " "
relative error = 4.100124835453118000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2924585964458709 " "
Order of pole (three term test) = 22.905546507030834 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.390000000000013 " "
y[1] (analytic) = 0.15841668280115292 " "
y[1] (numeric) = 0.15841668280115934 " "
absolute error = 6.411537967210279000000000000000E-15 " "
relative error = 4.047261850103338000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30051049609903463 " "
Order of pole (three term test) = 22.899616618441115 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.380000000000013 " "
y[1] (analytic) = 0.16315108907683545 " "
y[1] (numeric) = 0.16315108907684198 " "
absolute error = 6.522560269672795000000000000000E-15 " "
relative error = 3.997864989182522400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30844219556051183 " "
Order of pole (three term test) = 22.89352688853217 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.370000000000013 " "
y[1] (analytic) = 0.1678691803795691 " "
y[1] (numeric) = 0.1678691803795757 " "
absolute error = 6.6058269965196810000000000000000E-15 " "
relative error = 3.935104098074013000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31625052225627276 " "
Order of pole (three term test) = 22.88727975311477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.360000000000014 " "
y[1] (analytic) = 0.1725704849041553 " "
y[1] (numeric) = 0.17257048490416202 " "
absolute error = 6.716849298982197000000000000000E-15 " "
relative error = 3.892235281550433500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32393235295974887 " "
Order of pole (three term test) = 22.880877710959776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.350000000000014 " "
y[1] (analytic) = 0.17725453252405934 " "
y[1] (numeric) = 0.17725453252406614 " "
absolute error = 6.800116025829084000000000000000E-15 " "
relative error = 3.836356638669357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33148461504108095 " "
Order of pole (three term test) = 22.874323322798713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.340000000000014 " "
y[1] (analytic) = 0.18192085483842257 " "
y[1] (numeric) = 0.18192085483842949 " "
absolute error = 6.9111383282916000000000000000000E-15 " "
relative error = 3.798980789986885000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3389042876961329 " "
Order of pole (three term test) = 22.867619210299427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.330000000000014 " "
y[1] (analytic) = 0.1865689852189022 " "
y[1] (numeric) = 0.1865689852189092 " "
absolute error = 6.994405055138486000000000000000E-15 " "
relative error = 3.748964516761411000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3461884031547698 " "
Order of pole (three term test) = 22.86076805501755 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.3200000000000145 " "
y[1] (analytic) = 0.19119845885633358 " "
y[1] (numeric) = 0.19119845885634065 " "
absolute error = 7.077671781985373000000000000000E-15 " "
relative error = 3.701741020466871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3533340478679289 " "
Order of pole (three term test) = 22.85377259732385 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.310000000000015 " "
y[1] (analytic) = 0.19580881280721082 " "
y[1] (numeric) = 0.195808812807218 " "
absolute error = 7.188694084447889000000000000000E-15 " "
relative error = 3.671282196846637000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3603383636729985 " "
Order of pole (three term test) = 22.84663563530812 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.300000000000015 " "
y[1] (analytic) = 0.20039958603998081 " "
y[1] (numeric) = 0.20039958603998811 " "
absolute error = 7.299716386910404000000000000000E-15 " "
relative error = 3.642580571725368000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3671985489370463 " "
Order of pole (three term test) = 22.83936002366002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.290000000000015 " "
y[1] (analytic) = 0.2049703194811459 " "
y[1] (numeric) = 0.2049703194811533 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 3.6019766825003224000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37391185967743484 " "
Order of pole (three term test) = 22.831948672527183 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.280000000000015 " "
y[1] (analytic) = 0.20952055606117093 " "
y[1] (numeric) = 0.20952055606117842 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 3.576739942419722000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38047561065937735 " "
Order of pole (three term test) = 22.824404546351268 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.270000000000016 " "
y[1] (analytic) = 0.2140498407601897 " "
y[1] (numeric) = 0.21404984076019729 " "
absolute error = 7.577272143066693000000000000000E-15 " "
relative error = 3.539956916649088000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3868871764699968 " "
Order of pole (three term test) = 22.816730662682154 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.260000000000016 " "
y[1] (analytic) = 0.21855772065350673 " "
y[1] (numeric) = 0.21855772065351442 " "
absolute error = 7.688294445529209000000000000000E-15 " "
relative error = 3.517740953072047000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39314399256845467 " "
Order of pole (three term test) = 22.808930090970975 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.250000000000016 " "
y[1] (analytic) = 0.22304374495688925 " "
y[1] (numeric) = 0.22304374495689702 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 3.4843215055765014000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39924355631173536 " "
Order of pole (three term test) = 22.801005951342418 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.240000000000016 " "
y[1] (analytic) = 0.22750746507164524 " "
y[1] (numeric) = 0.22750746507165312 " "
absolute error = 7.882583474838611000000000000000E-15 " "
relative error = 3.46475816622381000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.405183427955668 " "
Order of pole (three term test) = 22.7929614133467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.230000000000016 " "
y[1] (analytic) = 0.23194843462948297 " "
y[1] (numeric) = 0.23194843462949097 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 3.4462857186642376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.410961231630792 " "
Order of pole (three term test) = 22.78479969469173 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.220000000000017 " "
y[1] (analytic) = 0.23636620953714751 " "
y[1] (numeric) = 0.2363662095371556 " "
absolute error = 8.076872504148014000000000000000E-15 " "
relative error = 3.417101166856359000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41657465629267365 " "
Order of pole (three term test) = 22.776524059956166 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.210000000000017 " "
y[1] (analytic) = 0.2407603480208295 " "
y[1] (numeric) = 0.24076034802083768 " "
absolute error = 8.18789480661053000000000000000E-15 " "
relative error = 3.4008485508179076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42202145664629276 " "
Order of pole (three term test) = 22.768137819283552 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.200000000000017 " "
y[1] (analytic) = 0.24513041067034236 " "
y[1] (numeric) = 0.24513041067035063 " "
absolute error = 8.271161533457416000000000000000E-15 " "
relative error = 3.37418825793128000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4272994540441315 " "
Order of pole (three term test) = 22.759644327058353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.190000000000017 " "
y[1] (analytic) = 0.24947596048306284 " "
y[1] (numeric) = 0.24947596048307122 " "
absolute error = 8.382183835919932000000000000000E-15 " "
relative error = 3.359916450342319000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4324065373576023 " "
Order of pole (three term test) = 22.751046980564215 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1800000000000175 " "
y[1] (analytic) = 0.253796562907631 " "
y[1] (numeric) = 0.2537965629076394 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 3.324589935531192000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4373406638214741 " "
Order of pole (three term test) = 22.742349218625098 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.170000000000018 " "
y[1] (analytic) = 0.2580917858874048 " "
y[1] (numeric) = 0.25809178588741327 " "
absolute error = 8.493206138382448000000000000000E-15 " "
relative error = 3.2907696419628390000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.442099859850948 " "
Order of pole (three term test) = 22.733554520229795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.160000000000018 " "
y[1] (analytic) = 0.2623611999036656 " "
y[1] (numeric) = 0.2623611999036742 " "
absolute error = 8.604228440844963000000000000000E-15 " "
relative error = 3.27953540538932000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.446682221831068 " "
Order of pole (three term test) = 22.724666403140436 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.150000000000018 " "
y[1] (analytic) = 0.2666043780185697 " "
y[1] (numeric) = 0.26660437801857834 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 3.24816106038328000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.451085916878139 " "
Order of pole (three term test) = 22.71568842248533 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.140000000000018 " "
y[1] (analytic) = 0.2708208959178415 " "
y[1] (numeric) = 0.2708208959178502 " "
absolute error = 8.715250743307479000000000000000E-15 " "
relative error = 3.2180865194210906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45530918357285743 " "
Order of pole (three term test) = 22.70662416933703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.1300000000000185 " "
y[1] (analytic) = 0.2750103319532048 " "
y[1] (numeric) = 0.2750103319532136 " "
absolute error = 8.826273045769994000000000000000E-15 " "
relative error = 3.2094332540465625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.459350332664855 " "
Order of pole (three term test) = 22.69747726927595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.120000000000019 " "
y[1] (analytic) = 0.2791722671845473 " "
y[1] (numeric) = 0.27917226718455623 " "
absolute error = 8.93729534823251000000000000000E-15 " "
relative error = 3.2013550050530254000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4632077477483759 " "
Order of pole (three term test) = 22.68825138094015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.110000000000019 " "
y[1] (analytic) = 0.28330628542181413 " "
y[1] (numeric) = 0.2833062854218232 " "
absolute error = 9.048317650695026000000000000000E-15 " "
relative error = 3.1938287698852164000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4668798859088187 " "
Order of pole (three term test) = 22.67895019456198 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.100000000000020 " "
y[1] (analytic) = 0.2874119732666266 " "
y[1] (numeric) = 0.2874119732666357 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 3.1675189792739900000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4703652783398799 " "
Order of pole (three term test) = 22.669577430491938 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.090000000000020 " "
y[1] (analytic) = 0.2914889201536216 " "
y[1] (numeric) = 0.29148892015363076 " "
absolute error = 9.159339953157541000000000000000E-15 " "
relative error = 3.1422600722972080000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4736625309310588 " "
Order of pole (three term test) = 22.660136837710702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.08000000000002 " "
y[1] (analytic) = 0.2955367183915078 " "
y[1] (numeric) = 0.2955367183915171 " "
absolute error = 9.270362255620057000000000000000E-15 " "
relative error = 3.1367886555941530000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4767703248252812 " "
Order of pole (three term test) = 22.65063219232951 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.07000000000002 " "
y[1] (analytic) = 0.2995549632038347 " "
y[1] (numeric) = 0.299554963203844 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 3.1132428276627977000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4796874169464265 " "
Order of pole (three term test) = 22.641067296079797 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.06000000000002 " "
y[1] (analytic) = 0.3035432527694695 " "
y[1] (numeric) = 0.30354325276947886 " "
absolute error = 9.381384558082573000000000000000E-15 " "
relative error = 3.0906252972150255000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4824126404965403 " "
Order of pole (three term test) = 22.631445974792516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.05000000000002 " "
y[1] (analytic) = 0.30750118826277917 " "
y[1] (numeric) = 0.30750118826278866 " "
absolute error = 9.492406860545088000000000000000E-15 " "
relative error = 3.086949651860606000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4849449054225383 " "
Order of pole (three term test) = 22.62177207686792 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.0400000000000205 " "
y[1] (analytic) = 0.31142837389351274 " "
y[1] (numeric) = 0.3114283738935223 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 3.065847177765852000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4872831988522129 " "
Order of pole (three term test) = 22.612049471736167 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.030000000000020 " "
y[1] (analytic) = 0.31532441694637975 " "
y[1] (numeric) = 0.31532441694638935 " "
absolute error = 9.603429163007604000000000000000E-15 " "
relative error = 3.045571052190559000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4894265854993695 " "
Order of pole (three term test) = 22.602282048309704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.020000000000021 " "
y[1] (analytic) = 0.31918892782032154 " "
y[1] (numeric) = 0.31918892782033126 " "
absolute error = 9.71445146547012000000000000000E-15 " "
relative error = 3.0434800893026580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4913742080379272 " "
Order of pole (three term test) = 22.59247371342765 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.010000000000021 " "
y[1] (analytic) = 0.32302152006747126 " "
y[1] (numeric) = 0.323021520067481 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 3.024554715320723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4931252874448384 " "
Order of pole (three term test) = 22.5826283902932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.000000000000021 " "
y[1] (analytic) = 0.32682181043179787 " "
y[1] (numeric) = 0.32682181043180775 " "
absolute error = 9.880984919163893000000000000000E-15 " "
relative error = 3.023355419918000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49467912331168773 " "
Order of pole (three term test) = 22.57275001690433 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9900000000000215 " "
y[1] (analytic) = 0.330589418887432 " "
y[1] (numeric) = 0.33058941888744187 " "
absolute error = 9.880984919163893000000000000000E-15 " "
relative error = 2.9888993278785000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49603509412484625 " "
Order of pole (three term test) = 22.562842544478674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9800000000000217 " "
y[1] (analytic) = 0.3343239686766675 " "
y[1] (numeric) = 0.3343239686766775 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 2.988719971582388000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49719265751406794 " "
Order of pole (three term test) = 22.55290993587313 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.970000000000022 " "
y[1] (analytic) = 0.33802508634763784 " "
y[1] (numeric) = 0.3380250863476479 " "
absolute error = 1.004751837285766700000000000000E-14 " "
relative error = 2.972417959099171000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49815135046943093 " "
Order of pole (three term test) = 22.542956163998685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.960000000000022 " "
y[1] (analytic) = 0.34169240179166 " "
y[1] (numeric) = 0.34169240179167015 " "
absolute error = 1.015854067532018200000000000000E-14 " "
relative error = 2.973007483354619000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49891078952653556 " "
Order of pole (three term test) = 22.53298521023138 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9500000000000224 " "
y[1] (analytic) = 0.34532554828024575 " "
y[1] (numeric) = 0.34532554828025597 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 2.9578036949245123000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994706709198849 " "
Order of pole (three term test) = 22.523001062819784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9400000000000226 " "
y[1] (analytic) = 0.34892416250177377 " "
y[1] (numeric) = 0.3489241625017841 " "
absolute error = 1.032507412901395600000000000000E-14 " "
relative error = 2.959116976876449000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49983077070438636 " "
Order of pole (three term test) = 22.513007715289742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.930000000000023 " "
y[1] (analytic) = 0.3524878845978208 " "
y[1] (numeric) = 0.3524878845978312 " "
absolute error = 1.038058528024521400000000000000E-14 " "
relative error = 2.9449481056885635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999909448449277 " "
Order of pole (three term test) = 22.503009164847015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.920000000000023 " "
y[1] (analytic) = 0.35601635819914695 " "
y[1] (numeric) = 0.35601635819915745 " "
absolute error = 1.04916075827077300000000000000E-14 " "
relative error = 2.9469453695268060000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999511292739878 " "
Order of pole (three term test) = 22.493009410778463 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9100000000000232 " "
y[1] (analytic) = 0.35950923046133254 " "
y[1] (numeric) = 0.3595092304613431 " "
absolute error = 1.054711873393898700000000000000E-14 " "
relative error = 2.9337546411269116000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49971133991726463 " "
Order of pole (three term test) = 22.4830124528524 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.9000000000000234 " "
y[1] (analytic) = 0.362966152100062 " "
y[1] (numeric) = 0.3629661521000726 " "
absolute error = 1.060262988517024500000000000000E-14 " "
relative error = 2.9211070574556840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49927167268730377 " "
Order of pole (three term test) = 22.473022289718703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8900000000000237 " "
y[1] (analytic) = 0.36638677742605225 " "
y[1] (numeric) = 0.3663867774260629 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 2.9089862661740384000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4986323034451347 " "
Order of pole (three term test) = 22.463042917309405 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.880000000000024 " "
y[1] (analytic) = 0.3697707643796212 " "
y[1] (numeric) = 0.3697707643796319 " "
absolute error = 1.07136521876327600000000000000E-14 " "
relative error = 2.8973767587081883000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4977934879299297 " "
Order of pole (three term test) = 22.453078327240444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.870000000000024 " "
y[1] (analytic) = 0.3731177745648934 " "
y[1] (numeric) = 0.37311777456490425 " "
absolute error = 1.082467449009527600000000000000E-14 " "
relative error = 2.90114147006755000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4967555616567107 " "
Order of pole (three term test) = 22.443132505214965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8600000000000243 " "
y[1] (analytic) = 0.3764274732836396 " "
y[1] (numeric) = 0.3764274732836505 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 2.8903803291552715000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49551893978214817 " "
Order of pole (three term test) = 22.433209429429176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8500000000000245 " "
y[1] (analytic) = 0.379699529568746 " "
y[1] (numeric) = 0.3796995295687569 " "
absolute error = 1.093569679255779200000000000000E-14 " "
relative error = 2.8800922679515320000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49408411693850396 " "
Order of pole (three term test) = 22.423313068981095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8400000000000247 " "
y[1] (analytic) = 0.3829336162173107 " "
y[1] (numeric) = 0.3829336162173217 " "
absolute error = 1.09912079437890500000000000000E-14 " "
relative error = 2.870264578065055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4924516670357847 " "
Order of pole (three term test) = 22.413447382282932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.830000000000025 " "
y[1] (analytic) = 0.38612940982336397 " "
y[1] (numeric) = 0.386129409823375 " "
absolute error = 1.104671909502030800000000000000E-14 " "
relative error = 2.8608851887437586000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49062224303218605 " "
Order of pole (three term test) = 22.403616315477844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.820000000000025 " "
y[1] (analytic) = 0.38928659081020833 " "
y[1] (numeric) = 0.38928659081021943 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 2.8519426325846176000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48859657667291695 " "
Order of pole (three term test) = 22.393823800861462 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8100000000000254 " "
y[1] (analytic) = 0.3924048434623761 " "
y[1] (numeric) = 0.39240484346238724 " "
absolute error = 1.115774139748282300000000000000E-14 " "
relative error = 2.8434260135610767000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4863754781975129 " "
Order of pole (three term test) = 22.384073755309075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.8000000000000256 " "
y[1] (analytic) = 0.39548385595720054 " "
y[1] (numeric) = 0.39548385595721175 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 2.8353249771913785000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4839598360157498 " "
Order of pole (three term test) = 22.3743700787089 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.790000000000026 " "
y[1] (analytic) = 0.398523320395998 " "
y[1] (numeric) = 0.39852332039600935 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 2.841558892946109000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48135061635229204 " "
Order of pole (three term test) = 22.364716652402194 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.780000000000026 " "
y[1] (analytic) = 0.4015229328348576 " "
y[1] (numeric) = 0.401522932834869 " "
absolute error = 1.137978600240785500000000000000E-14 " "
relative error = 2.8341559277980880000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4785488628602161 " "
Order of pole (three term test) = 22.355117337630777 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.770000000000026 " "
y[1] (analytic) = 0.40448239331503505 " "
y[1] (numeric) = 0.4044823933150465 " "
absolute error = 1.143529715363911200000000000000E-14 " "
relative error = 2.8271433670865914000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47555569620356264 " "
Order of pole (three term test) = 22.345575973992567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7600000000000264 " "
y[1] (analytic) = 0.40740140589294854 " "
y[1] (numeric) = 0.40740140589296003 " "
absolute error = 1.14908083048703700000000000000E-14 " "
relative error = 2.820512678321432000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47237231360908566 " "
Order of pole (three term test) = 22.3360963779058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7500000000000266 " "
y[1] (analytic) = 0.4102796786697728 " "
y[1] (numeric) = 0.4102796786697843 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 2.8142557519635440000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4689999883873787 " "
Order of pole (three term test) = 22.32668234108251 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.740000000000027 " "
y[1] (analytic) = 0.4131169238206286 " "
y[1] (numeric) = 0.4131169238206402 " "
absolute error = 1.160183060733288600000000000000E-14 " "
relative error = 2.8083648813114925000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4654400694235664 " "
Order of pole (three term test) = 22.317337629011924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.730000000000027 " "
y[1] (analytic) = 0.41591285762336533 " "
y[1] (numeric) = 0.415912857623377 " "
absolute error = 1.165734175856414400000000000000E-14 " "
relative error = 2.802832743661073000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46169398063776984 " "
Order of pole (three term test) = 22.308065979454266 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7200000000000273 " "
y[1] (analytic) = 0.41866720048693257 " "
y[1] (numeric) = 0.41866720048694434 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 2.8109113986812000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45776322041555545 " "
Order of pole (three term test) = 22.298871100945735 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7100000000000275 " "
y[1] (analytic) = 0.42137967697933937 " "
y[1] (numeric) = 0.42137967697935114 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 2.7928171917042105000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45364936100860365 " "
Order of pole (three term test) = 22.289756671315146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.7000000000000277 " "
y[1] (analytic) = 0.42405001585519675 " "
y[1] (numeric) = 0.4240500158552086 " "
absolute error = 1.182387521225791700000000000000E-14 " "
relative error = 2.7883208985176633000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44935404790582556 " "
Order of pole (three term test) = 22.28072633621283 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.690000000000028 " "
y[1] (analytic) = 0.4266779500828424 " "
y[1] (numeric) = 0.42667795008285436 " "
absolute error = 1.193489751472043300000000000000E-14 " "
relative error = 2.797167632497341600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44487899917519247 " "
Order of pole (three term test) = 22.271783707652414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.680000000000028 " "
y[1] (analytic) = 0.42926321687104363 " "
y[1] (numeric) = 0.4292632168710556 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 2.793253228951543000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4402260047765307 " "
Order of pole (three term test) = 22.262932362566094 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6700000000000284 " "
y[1] (analytic) = 0.4318055576952759 " "
y[1] (numeric) = 0.43180555769528794 " "
absolute error = 1.204591981718294800000000000000E-14 " "
relative error = 2.7896629866176303000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4353969258455597 " "
Order of pole (three term test) = 22.25417584137389 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6600000000000286 " "
y[1] (analytic) = 0.43430471832357537 " "
y[1] (numeric) = 0.43430471832358747 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 2.786391779284822000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4303936939494654 " "
Order of pole (three term test) = 22.24551764656752 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6500000000000288 " "
y[1] (analytic) = 0.4367604488419619 " "
y[1] (numeric) = 0.43676044884197407 " "
absolute error = 1.215694211964546400000000000000E-14 " "
relative error = 2.7834347528213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42521831031429763 " "
Order of pole (three term test) = 22.236961241309476 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.640000000000029 " "
y[1] (analytic) = 0.43917250367943006 " "
y[1] (numeric) = 0.43917250367944227 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 2.780787314451519000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4198728450245055 " "
Order of pole (three term test) = 22.22851004804776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.630000000000029 " "
y[1] (analytic) = 0.44154064163250617 " "
y[1] (numeric) = 0.4415406416325184 " "
absolute error = 1.221245327087672200000000000000E-14 " "
relative error = 2.7658729728080467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.414359436194934 " "
Order of pole (three term test) = 22.220167447147016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6200000000000294 " "
y[1] (analytic) = 0.4438646258893683 " "
y[1] (numeric) = 0.4438646258893806 " "
absolute error = 1.22679644221079800000000000000E-14 " "
relative error = 2.7638977531779535000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40868028911560345 " "
Order of pole (three term test) = 22.211936775536362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.6100000000000296 " "
y[1] (analytic) = 0.4461442240535275 " "
y[1] (numeric) = 0.4461442240535398 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 2.7622178902983380000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4028376753696243 " "
Order of pole (three term test) = 22.203821325374705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.60000000000003 " "
y[1] (analytic) = 0.4483792081670669 " "
y[1] (numeric) = 0.44837920816707927 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.7608297840514640000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3968339319245947 " "
Order of pole (three term test) = 22.195824342733896 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.59000000000003 " "
y[1] (analytic) = 0.45056935473343773 " "
y[1] (numeric) = 0.4505693547334501 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.7474098259288090000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39067146019784393 " "
Order of pole (three term test) = 22.187949026300373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5800000000000303 " "
y[1] (analytic) = 0.45271444473980843 " "
y[1] (numeric) = 0.45271444473982086 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 2.7466536622104726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3843527250958973 " "
Order of pole (three term test) = 22.180198526095708 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5700000000000305 " "
y[1] (analytic) = 0.4548142636789659 " "
y[1] (numeric) = 0.45481426367897837 " "
absolute error = 1.249000902703301100000000000000E-14 " "
relative error = 2.746177950973231000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3778802540285468 " "
Order of pole (three term test) = 22.17257594221664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5600000000000307 " "
y[1] (analytic) = 0.4568686015707661 " "
y[1] (numeric) = 0.45686860157077863 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 2.7459799459037776000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3712566358979216 " "
Order of pole (three term test) = 22.16508432359509 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.550000000000031 " "
y[1] (analytic) = 0.4588772529831318 " "
y[1] (numeric) = 0.45887725298314436 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 2.733959919936462000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36448452006295917 " "
Order of pole (three term test) = 22.15772666677862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.540000000000031 " "
y[1] (analytic) = 0.46084001705259564 " "
y[1] (numeric) = 0.46084001705260824 " "
absolute error = 1.260103132949552700000000000000E-14 " "
relative error = 2.734361353878990700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3575666152797008 " "
Order of pole (three term test) = 22.150505914731855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5300000000000313 " "
y[1] (analytic) = 0.4627566975043863 " "
y[1] (numeric) = 0.4627566975043989 " "
absolute error = 1.260103132949552700000000000000E-14 " "
relative error = 2.723035970619546700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35050568861782155 " "
Order of pole (three term test) = 22.143424955659334 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5200000000000315 " "
y[1] (analytic) = 0.4646271026720558 " "
y[1] (numeric) = 0.46462710267206847 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 2.7240215665292467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34330456435384216 " "
Order of pole (three term test) = 22.136486621850285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.5100000000000318 " "
y[1] (analytic) = 0.46645104551664607 " "
y[1] (numeric) = 0.4664510455166588 " "
absolute error = 1.271205363195804200000000000000E-14 " "
relative error = 2.7252706911350233000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3359661228414543 " "
Order of pole (three term test) = 22.12969368854571 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.500000000000032 " "
y[1] (analytic) = 0.46822834364539256 " "
y[1] (numeric) = 0.46822834364540533 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.7267816988154540000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3284932993594187 " "
Order of pole (three term test) = 22.12304887282837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.490000000000032 " "
y[1] (analytic) = 0.46995881932996353 " "
y[1] (numeric) = 0.4699588193299763 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.7167411820023840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32088908293749124 " "
Order of pole (three term test) = 22.116554832535947 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4800000000000324 " "
y[1] (analytic) = 0.47164229952423253 " "
y[1] (numeric) = 0.47164229952424536 " "
absolute error = 1.282307593442055800000000000000E-14 " "
relative error = 2.718813801763707000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3131565151608531 " "
Order of pole (three term test) = 22.11021416519798 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4700000000000326 " "
y[1] (analytic) = 0.47327861588158304 " "
y[1] (numeric) = 0.4732786158815959 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 2.721142822323101000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3052986889535152 " "
Order of pole (three term test) = 22.10402940699685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.460000000000033 " "
y[1] (analytic) = 0.47486760477174295 " "
y[1] (numeric) = 0.4748676047717558 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 2.7120374092147714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2973187473411908 " "
Order of pole (three term test) = 22.09800303175339 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.450000000000033 " "
y[1] (analytic) = 0.47640910729714736 " "
y[1] (numeric) = 0.4764091072971603 " "
absolute error = 1.293409823688307400000000000000E-14 " "
relative error = 2.714914143909465000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28921988219412686 " "
Order of pole (three term test) = 22.09213744993734 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4400000000000333 " "
y[1] (analytic) = 0.4779029693088283 " "
y[1] (numeric) = 0.4779029693088413 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.718043247753969000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28100533295039914 " "
Order of pole (three term test) = 22.086435007703216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4300000000000335 " "
y[1] (analytic) = 0.47934904142182955 " "
y[1] (numeric) = 0.47934904142184254 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.7098436140781623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2726783853201792 " "
Order of pole (three term test) = 22.08089798595189 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.4200000000000337 " "
y[1] (analytic) = 0.4807471790301448 " "
y[1] (numeric) = 0.48074717903015785 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.713509534400742600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.264242369971494 " "
Order of pole (three term test) = 22.075528599418234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.410000000000034 " "
y[1] (analytic) = 0.48209724232117834 " "
y[1] (numeric) = 0.48209724232119144 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.7174251459105140000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2557006611980052 " "
Order of pole (three term test) = 22.07032899578526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.400000000000034 " "
y[1] (analytic) = 0.48339909628972616 " "
y[1] (numeric) = 0.48339909628973926 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.7101067815660457000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2470566755693337 " "
Order of pole (three term test) = 22.065301254825105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3900000000000343 " "
y[1] (analytic) = 0.4846526107514762 " "
y[1] (numeric) = 0.48465261075148935 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.7145511135097156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23831387056447986 " "
Order of pole (three term test) = 22.06044738756711 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3800000000000345 " "
y[1] (analytic) = 0.48585766035602695 " "
y[1] (numeric) = 0.4858576603560401 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.7078183417273990000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22947574318887587 " "
Order of pole (three term test) = 22.05576933549347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3700000000000347 " "
y[1] (analytic) = 0.48701412459942217 " "
y[1] (numeric) = 0.4870141245994353 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.701388353495756700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22054582857563235 " "
Order of pole (three term test) = 22.05126896976264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.360000000000035 " "
y[1] (analytic) = 0.48812188783620114 " "
y[1] (numeric) = 0.48812188783621435 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.706630110689237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2115276985715303 " "
Order of pole (three term test) = 22.04694809046089 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.350000000000035 " "
y[1] (analytic) = 0.4891808392909634 " "
y[1] (numeric) = 0.4891808392909766 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.7007709484674050000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2024249603083313 " "
Order of pole (three term test) = 22.042808425882352 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3400000000000354 " "
y[1] (analytic) = 0.4901908730694459 " "
y[1] (numeric) = 0.49019087306945913 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.695206034806701000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19324125475997234 " "
Order of pole (three term test) = 22.038851631837655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3300000000000356 " "
y[1] (analytic) = 0.49115188816911254 " "
y[1] (numeric) = 0.49115188816912575 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.6899324447858686000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18398025528622547 " "
Order of pole (three term test) = 22.035079290991664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.320000000000036 " "
y[1] (analytic) = 0.4920637884892541 " "
y[1] (numeric) = 0.49206378848926735 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.6962287115261596000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17464566616340102 " "
Order of pole (three term test) = 22.03149291223041 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.310000000000036 " "
y[1] (analytic) = 0.49292648284059853 " "
y[1] (numeric) = 0.4929264828406118 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.6915099119478486000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16524122110268943 " "
Order of pole (three term test) = 22.02809393005759 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.3000000000000362 " "
y[1] (analytic) = 0.4937398849544296 " "
y[1] (numeric) = 0.4937398849544429 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.6870758366007097000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15577068175672348 " "
Order of pole (three term test) = 22.02488370402075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2900000000000365 " "
y[1] (analytic) = 0.49450391349121375 " "
y[1] (numeric) = 0.4945039134912271 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.694149820057712000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1462378362149697 " "
Order of pole (three term test) = 22.021863518167496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2800000000000367 " "
y[1] (analytic) = 0.495218492048734 " "
y[1] (numeric) = 0.49521849204874735 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6902622800666350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13664649748854166 " "
Order of pole (three term test) = 22.019034580531912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.270000000000037 " "
y[1] (analytic) = 0.4958835491697301 " "
y[1] (numeric) = 0.4958835491697435 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.69784861166146030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1270005019850474 " "
Order of pole (three term test) = 22.016398022651327 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.260000000000037 " "
y[1] (analytic) = 0.49649901834904414 " "
y[1] (numeric) = 0.4964990183490575 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6945043096395666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11730370797407631 " "
Order of pole (three term test) = 22.013954899113738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2500000000000373 " "
y[1] (analytic) = 0.4970648380402711 " "
y[1] (numeric) = 0.49706483804028445 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.69143709691436000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10755999404394415 " "
Order of pole (three term test) = 22.011706187135992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2400000000000375 " "
y[1] (analytic) = 0.49758095166191335 " "
y[1] (numeric) = 0.4975809516619267 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.677489210751402000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.77732575503086800E-2 " "
Order of pole (three term test) = 22.009652786172897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2300000000000377 " "
y[1] (analytic) = 0.4980473076030388 " "
y[1] (numeric) = 0.49804730760305216 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6861278522152000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.79474130572791400E-2 " "
Order of pole (three term test) = 22.007795517557458 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.220000000000038 " "
y[1] (analytic) = 0.498463859228442 " "
y[1] (numeric) = 0.4984638592284554 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.683883133962982000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.80863907716432700E-2 " "
Order of pole (three term test) = 22.00613512417235 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.210000000000038 " "
y[1] (analytic) = 0.49883056488330746 " "
y[1] (numeric) = 0.4988305648833209 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.693038386913394000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.81941349708366800E-2 " "
Order of pole (three term test) = 22.004672270152803 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.2000000000000384 " "
y[1] (analytic) = 0.49914738789737545 " "
y[1] (numeric) = 0.49914738789738883 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6802078446384037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.82746024252847500E-2 " "
Order of pole (three term test) = 22.003407540620906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1900000000000386 " "
y[1] (analytic) = 0.4994142965886084 " "
y[1] (numeric) = 0.4994142965886218 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.678775425156359000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.83317608157470500E-2 " "
Order of pole (three term test) = 22.002341441451623 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.180000000000039 " "
y[1] (analytic) = 0.4996312642663597 " "
y[1] (numeric) = 0.4996312642663731 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.688722575775947000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.83695871462979800E-2 " "
Order of pole (three term test) = 22.001474399070393 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.170000000000039 " "
y[1] (analytic) = 0.49979826923404236 " "
y[1] (numeric) = 0.4997982692340558 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.687824153243265000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.839206615357805500E-2 " "
Order of pole (three term test) = 22.00080676028262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.160000000000039 " "
y[1] (analytic) = 0.4999152947912988 " "
y[1] (numeric) = 0.49991529479131225 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.687194958412425000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.840318871295250600E-2 " "
Order of pole (three term test) = 22.000338792134915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1500000000000394 " "
y[1] (analytic) = 0.4999823292356708 " "
y[1] (numeric) = 0.49998232923568425 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.6868346764375967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.406950242214374000E-3 " "
Order of pole (three term test) = 22.00007068180829 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1400000000000396 " "
y[1] (analytic) = 0.4999993658637698 " "
y[1] (numeric) = 0.49999936586378324 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.686743127115195000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5926508965294714000E-3 " "
Order of pole (three term test) = 22.000002536543306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.13000000000004 " "
y[1] (analytic) = 0.49996640297194717 " "
y[1] (numeric) = 0.4999664029719606 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.686920264663894000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.159161499614976700E-2 " "
Order of pole (three term test) = 22.00013438359717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.12000000000004 " "
y[1] (analytic) = 0.4998834438564646 " "
y[1] (numeric) = 0.49988344385647804 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.687366177668752000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.158594260432442300E-2 " "
Order of pole (three term test) = 22.000466170232794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1100000000000403 " "
y[1] (analytic) = 0.4997504968131646 " "
y[1] (numeric) = 0.499750496813178 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.688081089189328000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.15716361232660700E-2 " "
Order of pole (three term test) = 22.000997763739985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.1000000000000405 " "
y[1] (analytic) = 0.4995675751366406 " "
y[1] (numeric) = 0.499567575136654 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.689065357032037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.15447014087079100E-2 " "
Order of pole (three term test) = 22.001728951488385 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0900000000000407 " "
y[1] (analytic) = 0.4993346971189078 " "
y[1] (numeric) = 0.49933469711892126 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.6903194741873493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.15011493675083400E-2 " "
Order of pole (three term test) = 22.002659441012682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.080000000000041 " "
y[1] (analytic) = 0.49905188604757406 " "
y[1] (numeric) = 0.4990518860475875 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.6918440694328477000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.143699755323444000E-2 " "
Order of pole (three term test) = 22.00378886012943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.070000000000041 " "
y[1] (analytic) = 0.49871917020351075 " "
y[1] (numeric) = 0.49871917020352413 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.682509164681587000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.13482717590884100E-2 " "
Order of pole (three term test) = 22.005116757086085 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0600000000000414 " "
y[1] (analytic) = 0.49833658285802496 " "
y[1] (numeric) = 0.49833658285803833 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6845686042167510000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.12310076075363200E-2 " "
Order of pole (three term test) = 22.006642600741547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0500000000000416 " "
y[1] (analytic) = 0.4979041622695325 " "
y[1] (numeric) = 0.49790416226954587 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6869001025725650000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.10812521360069200E-2 " "
Order of pole (three term test) = 22.008365780778696 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.040000000000042 " "
y[1] (analytic) = 0.49742195167973186 " "
y[1] (numeric) = 0.4974219516797452 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6783450650926970000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10089506537802359 " "
Order of pole (three term test) = 22.01028560794851 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.030000000000042 " "
y[1] (analytic) = 0.49688999930928013 " "
y[1] (numeric) = 0.49688999930929345 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6812124039569213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11066852193913868 " "
Order of pole (three term test) = 22.01240131434569 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.020000000000042 " "
y[1] (analytic) = 0.4963083583529711 " "
y[1] (numeric) = 0.4963083583529844 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6843546096450954000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12039771256703867 " "
Order of pole (three term test) = 22.014712053715915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0100000000000424 " "
y[1] (analytic) = 0.4956770869744157 " "
y[1] (numeric) = 0.495677086974429 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6877732793385156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1300787457151933 " "
Order of pole (three term test) = 22.017216901794228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.0000000000000426 " "
y[1] (analytic) = 0.49499624830022576 " "
y[1] (numeric) = 0.49499624830023903 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.68025569685203000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13970774909942205 " "
Order of pole (three term test) = 22.019914856674802 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.990000000000043 " "
y[1] (analytic) = 0.4942659104137012 " "
y[1] (numeric) = 0.49426591041371454 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6954471297344340000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14928087124675615 " "
Order of pole (three term test) = 22.022804839211656 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.980000000000043 " "
y[1] (analytic) = 0.49348614634802224 " "
y[1] (numeric) = 0.49348614634803556 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.699706241825541000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15879428303597648 " "
Order of pole (three term test) = 22.025885693450313 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9700000000000433 " "
y[1] (analytic) = 0.49265703407894557 " "
y[1] (numeric) = 0.49265703407895883 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.692981978644525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1682441792292116 " "
Order of pole (three term test) = 22.029156187090148 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9600000000000435 " "
y[1] (analytic) = 0.49177865651700714 " "
y[1] (numeric) = 0.4917786565170204 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.6977919778451800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17762677999398058 " "
Order of pole (three term test) = 22.032615011977303 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9500000000000437 " "
y[1] (analytic) = 0.49085110149923117 " "
y[1] (numeric) = 0.49085110149924444 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.7028899606719947000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18693833241507776 " "
Order of pole (three term test) = 22.03626078462796 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.940000000000044 " "
y[1] (analytic) = 0.48987446178034655 " "
y[1] (numeric) = 0.48987446178035976 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.6969468759453924000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1961751119956865 " "
Order of pole (three term test) = 22.040092046781666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.930000000000044 " "
y[1] (analytic) = 0.48884883502351123 " "
y[1] (numeric) = 0.48884883502352444 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.70260519131726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20533342414713043 " "
Order of pole (three term test) = 22.044107265984625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9200000000000443 " "
y[1] (analytic) = 0.4877743237905462 " "
y[1] (numeric) = 0.4877743237905594 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.7085587224785000000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21440960566665787 " "
Order of pole (three term test) = 22.0483048362027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9100000000000446 " "
y[1] (analytic) = 0.48665103553167943 " "
y[1] (numeric) = 0.4866510355316926 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.703403852297296000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2234000262026751 " "
Order of pole (three term test) = 22.052683078463776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.9000000000000448 " "
y[1] (analytic) = 0.4854790825748006 " "
y[1] (numeric) = 0.48547908257481376 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.7099299051223413000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23230108970683913 " "
Order of pole (three term test) = 22.057240241529318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.890000000000045 " "
y[1] (analytic) = 0.4842585821142289 " "
y[1] (numeric) = 0.484258582114242 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.7052967514547044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24110923587242647 " "
Order of pole (three term test) = 22.061974502594865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.880000000000045 " "
y[1] (analytic) = 0.48298965619899326 " "
y[1] (numeric) = 0.4829896561990063 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.7009109557350360000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24982094155841206 " "
Order of pole (three term test) = 22.066883968019113 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8700000000000454 " "
y[1] (analytic) = 0.48167243172062774 " "
y[1] (numeric) = 0.4816724317206407 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.6967724396667075000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2584327221986757 " "
Order of pole (three term test) = 22.071966674081352 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8600000000000456 " "
y[1] (analytic) = 0.4803070404004825 " "
y[1] (numeric) = 0.4803070404004955 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.7044386809911275000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2669411331957836 " "
Order of pole (three term test) = 22.077220587766917 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.850000000000046 " "
y[1] (analytic) = 0.47889361877655173 " "
y[1] (numeric) = 0.4788936187765647 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.712420646008898000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27534277129878065 " "
Order of pole (three term test) = 22.082643607580394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.840000000000046 " "
y[1] (analytic) = 0.47743230818982 " "
y[1] (numeric) = 0.47743230818983295 " "
absolute error = 1.293409823688307400000000000000E-14 " "
relative error = 2.709095722055883000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28363427596444646 " "
Order of pole (three term test) = 22.088233564386165 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8300000000000463 " "
y[1] (analytic) = 0.47592325477012826 " "
y[1] (numeric) = 0.47592325477014114 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 2.7060218126706576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2918123307014663 " "
Order of pole (three term test) = 22.093988222276025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8200000000000465 " "
y[1] (analytic) = 0.4743666094215609 " "
y[1] (numeric) = 0.4743666094215737 " "
absolute error = 1.282307593442055800000000000000E-14 " "
relative error = 2.7031995253748825000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2998736643969847 " "
Order of pole (three term test) = 22.099905279463567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.8100000000000467 " "
y[1] (analytic) = 0.47276252780735556 " "
y[1] (numeric) = 0.4727625278073683 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.7006296041279976000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30781505262500647 " "
Order of pole (three term test) = 22.1059823692048 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.800000000000047 " "
y[1] (analytic) = 0.4711111703343369 " "
y[1] (numeric) = 0.4711111703343497 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.7100959576331950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3156333189361242 " "
Order of pole (three term test) = 22.112217060744843 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.790000000000047 " "
y[1] (analytic) = 0.4694127021368762 " "
y[1] (numeric) = 0.4694127021368889 " "
absolute error = 1.271205363195804200000000000000E-14 " "
relative error = 2.708076192674337400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3233253361280557 " "
Order of pole (three term test) = 22.118606860290228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7800000000000473 " "
y[1] (analytic) = 0.46766729306037774 " "
y[1] (numeric) = 0.4676672930603904 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 2.706313370324312000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33088802749648333 " "
Order of pole (three term test) = 22.125149212006317 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7700000000000475 " "
y[1] (analytic) = 0.46587511764429473 " "
y[1] (numeric) = 0.46587511764430733 " "
absolute error = 1.260103132949552700000000000000E-14 " "
relative error = 2.704808832292407000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3383183680656933 " "
Order of pole (three term test) = 22.13184149903966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7600000000000477 " "
y[1] (analytic) = 0.4640363551046752 " "
y[1] (numeric) = 0.46403635510468777 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 2.7035640721370435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3456133857985289 " "
Order of pole (three term test) = 22.138681044564667 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.750000000000048 " "
y[1] (analytic) = 0.46215118931624094 " "
y[1] (numeric) = 0.46215118931625343 " "
absolute error = 1.249000902703301100000000000000E-14 " "
relative error = 2.7025807388945927000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3527701627851622 " "
Order of pole (three term test) = 22.145665112854335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.740000000000048 " "
y[1] (analytic) = 0.4602198087939997 " "
y[1] (numeric) = 0.4602198087940122 " "
absolute error = 1.249000902703301100000000000000E-14 " "
relative error = 2.71392251884223000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3597858364102203 " "
Order of pole (three term test) = 22.152790910374456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7300000000000484 " "
y[1] (analytic) = 0.45824240667439436 " "
y[1] (numeric) = 0.4582424066744068 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 2.7135196775092724000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3666576004977955 " "
Order of pole (three term test) = 22.16005558690104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.7200000000000486 " "
y[1] (analytic) = 0.45621918069598894 " "
y[1] (numeric) = 0.4562191806960013 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.713385856702831300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37338270643387367 " "
Order of pole (three term test) = 22.16745623666032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.710000000000049 " "
y[1] (analytic) = 0.4541503331796953 " "
y[1] (numeric) = 0.45415033317970765 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.7257464808844384000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37995846426574864 " "
Order of pole (three term test) = 22.17498989949108 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.700000000000049 " "
y[1] (analytic) = 0.45203607100854104 " "
y[1] (numeric) = 0.45203607100855336 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 2.7262150885092510000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3863822437779626 " "
Order of pole (three term test) = 22.182653562028648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6900000000000492 " "
y[1] (analytic) = 0.4498766056069814 " "
y[1] (numeric) = 0.44987660560699366 " "
absolute error = 1.22679644221079800000000000000E-14 " "
relative error = 2.7269620756464610000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3926514755443599 " "
Order of pole (three term test) = 22.19044415891016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6800000000000495 " "
y[1] (analytic) = 0.44767215291975704 " "
y[1] (numeric) = 0.4476721529197692 " "
absolute error = 1.215694211964546400000000000000E-14 " "
relative error = 2.715590424902872300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3987636519558224 " "
Order of pole (three term test) = 22.198358574000757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6700000000000497 " "
y[1] (analytic) = 0.44542293339029954 " "
y[1] (numeric) = 0.44542293339031164 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 2.7168405713430993000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4047163282232807 " "
Order of pole (three term test) = 22.206393641639927 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.66000000000005 " "
y[1] (analytic) = 0.44312917193868756 " "
y[1] (numeric) = 0.4431291719386996 " "
absolute error = 1.204591981718294800000000000000E-14 " "
relative error = 2.7183766224376780000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41050712335559514 " "
Order of pole (three term test) = 22.214546147907736 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.65000000000005 " "
y[1] (analytic) = 0.4407910979391548 " "
y[1] (numeric) = 0.44079109793916676 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 2.7202020916508630000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4161337211119229 " "
Order of pole (three term test) = 22.222812831910378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6400000000000503 " "
y[1] (analytic) = 0.4384089451971528 " "
y[1] (numeric) = 0.4384089451971647 " "
absolute error = 1.193489751472043300000000000000E-14 " "
relative error = 2.7223207111691805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42159387092818146 " "
Order of pole (three term test) = 22.231190387084478 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6300000000000505 " "
y[1] (analytic) = 0.43598295192597064 " "
y[1] (numeric) = 0.4359829519259825 " "
absolute error = 1.187938636348917500000000000000E-14 " "
relative error = 2.7247364400400403000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4268853888172453 " "
Order of pole (three term test) = 22.239675462519664 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.6200000000000507 " "
y[1] (analytic) = 0.43351336072291385 " "
y[1] (numeric) = 0.4335133607229257 " "
absolute error = 1.182387521225791700000000000000E-14 " "
relative error = 2.7274534728389405000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4320061582425118 " "
Order of pole (three term test) = 22.248264664298897 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.610000000000051 " "
y[1] (analytic) = 0.4310004185450447 " "
y[1] (numeric) = 0.43100041854505644 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 2.730476248898753000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43695413096448643 " "
Order of pole (three term test) = 22.256954556855987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.600000000000051 " "
y[1] (analytic) = 0.4284443766844868 " "
y[1] (numeric) = 0.42844437668449853 " "
absolute error = 1.171285290979540200000000000000E-14 " "
relative error = 2.7338094621372355000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44172732786005264 " "
Order of pole (three term test) = 22.26574166434976 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5900000000000514 " "
y[1] (analytic) = 0.4258454907432963 " "
y[1] (numeric) = 0.42584549074330796 " "
absolute error = 1.165734175856414400000000000000E-14 " "
relative error = 2.7374580715218370000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.446323839714094 " "
Order of pole (three term test) = 22.274622472054407 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5800000000000516 " "
y[1] (analytic) = 0.4232040206079015 " "
y[1] (numeric) = 0.4232040206079131 " "
absolute error = 1.160183060733288600000000000000E-14 " "
relative error = 2.7414273122140260000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4507418279831552 " "
Order of pole (three term test) = 22.28359342776523 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.570000000000052 " "
y[1] (analytic) = 0.42052023042311476 " "
y[1] (numeric) = 0.42052023042312636 " "
absolute error = 1.160183060733288600000000000000E-14 " "
relative error = 2.758923297378458000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45497952553083376 " "
Order of pole (three term test) = 22.292650943219556 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.560000000000052 " "
y[1] (analytic) = 0.4177943885657181 " "
y[1] (numeric) = 0.41779438856572965 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 2.7636367964969494000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4590352373346128 " "
Order of pole (three term test) = 22.30179139553199 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5500000000000522 " "
y[1] (analytic) = 0.4150267676176257 " "
y[1] (numeric) = 0.4150267676176372 " "
absolute error = 1.14908083048703700000000000000E-14 " "
relative error = 2.76869088970597000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4629073411638465 " "
Order of pole (three term test) = 22.311011128643464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5400000000000524 " "
y[1] (analytic) = 0.41221764433862595 " "
y[1] (numeric) = 0.41221764433863745 " "
absolute error = 1.14908083048703700000000000000E-14 " "
relative error = 2.787558578019279000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46659428822863 " "
Order of pole (three term test) = 22.320306454783655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5300000000000527 " "
y[1] (analytic) = 0.409367299638706 " "
y[1] (numeric) = 0.4093672996387174 " "
absolute error = 1.137978600240785500000000000000E-14 " "
relative error = 2.7798473430709475000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47009460379929624 " "
Order of pole (three term test) = 22.329673655946053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.520000000000053 " "
y[1] (analytic) = 0.4064760185499604 " "
y[1] (numeric) = 0.40647601854997173 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 2.7859638292005945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4734068877962874 " "
Order of pole (three term test) = 22.339108985375088 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.510000000000053 " "
y[1] (analytic) = 0.4035440901980887 " "
y[1] (numeric) = 0.40354409019809995 " "
absolute error = 1.126876369994533900000000000000E-14 " "
relative error = 2.7924491954308667000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47652981535016764 " "
Order of pole (three term test) = 22.34860866906479 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.5000000000000533 " "
y[1] (analytic) = 0.4005718077734828 " "
y[1] (numeric) = 0.400571807773494 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 2.7993114670353940000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.479462137331554 " "
Order of pole (three term test) = 22.358168907268333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4900000000000535 " "
y[1] (analytic) = 0.3975594685019083 " "
y[1] (numeric) = 0.3975594685019194 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 2.792596108473335300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4822026808507511 " "
Order of pole (three term test) = 22.367785876017916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4800000000000537 " "
y[1] (analytic) = 0.39450737361478205 " "
y[1] (numeric) = 0.3945073736147931 " "
absolute error = 1.104671909502030800000000000000E-14 " "
relative error = 2.8001299427693105000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4847503497268912 " "
Order of pole (three term test) = 22.377455728654265 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.470000000000054 " "
y[1] (analytic) = 0.3914158283190494 " "
y[1] (numeric) = 0.39141582831906035 " "
absolute error = 1.093569679255779200000000000000E-14 " "
relative error = 2.7938821073030107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4871041249263924 " "
Order of pole (three term test) = 22.387174597365252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.460000000000054 " "
y[1] (analytic) = 0.3882851417666636 " "
y[1] (numeric) = 0.3882851417666745 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 2.8021122806354720000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48926306497055816 " "
Order of pole (three term test) = 22.396938594732966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4500000000000544 " "
y[1] (analytic) = 0.385115627023671 " "
y[1] (numeric) = 0.38511562702368185 " "
absolute error = 1.082467449009527600000000000000E-14 " "
relative error = 2.810759608420133000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.491226306312156 " "
Order of pole (three term test) = 22.40674381528866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4400000000000546 " "
y[1] (analytic) = 0.38190760103890464 " "
y[1] (numeric) = 0.38190760103891547 " "
absolute error = 1.082467449009527600000000000000E-14 " "
relative error = 2.8343700048516646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.492993063680826 " "
Order of pole (three term test) = 22.416586337074836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.430000000000055 " "
y[1] (analytic) = 0.3786613846122897 " "
y[1] (numeric) = 0.3786613846123004 " "
absolute error = 1.07136521876327600000000000000E-14 " "
relative error = 2.8293490234295840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49456263039717674 " "
Order of pole (three term test) = 22.426462223214013 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.420000000000055 " "
y[1] (analytic) = 0.3753773023627636 " "
y[1] (numeric) = 0.3753773023627743 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 2.8393141964938270000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49593437865544926 " "
Order of pole (three term test) = 22.43636752348342 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.410000000000055 " "
y[1] (analytic) = 0.3720556826958147 " "
y[1] (numeric) = 0.37205568269582523 " "
absolute error = 1.054711873393898700000000000000E-14 " "
relative error = 2.834822642008159000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49710775977462973 " "
Order of pole (three term test) = 22.446298275895007 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.4000000000000554 " "
y[1] (analytic) = 0.3686968577706415 " "
y[1] (numeric) = 0.368696857770652 " "
absolute error = 1.04916075827077300000000000000E-14 " "
relative error = 2.845591808442896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4980823044179154 " "
Order of pole (three term test) = 22.45625050828022 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3900000000000556 " "
y[1] (analytic) = 0.3653011634669376 " "
y[1] (numeric) = 0.365301163466948 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 2.8568473016705886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49885762278044293 " "
Order of pole (three term test) = 22.46622023987881 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.380000000000056 " "
y[1] (analytic) = 0.3618689393513036 " "
y[1] (numeric) = 0.361868939351314 " "
absolute error = 1.038058528024521400000000000000E-14 " "
relative error = 2.86860356096152960000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994334047452044 " "
Order of pole (three term test) = 22.47620348293105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.370000000000056 " "
y[1] (analytic) = 0.35840052864329097 " "
y[1] (numeric) = 0.35840052864330124 " "
absolute error = 1.026956297778269800000000000000E-14 " "
relative error = 2.8653872293820726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499809420007091 " "
Order of pole (three term test) = 22.486196244272833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3600000000000563 " "
y[1] (analytic) = 0.3548962781810801 " "
y[1] (numeric) = 0.3548962781810903 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 2.878038586062569000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999855181650119 " "
Order of pole (three term test) = 22.496194526932868 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3500000000000565 " "
y[1] (analytic) = 0.35135653838679703 " "
y[1] (numeric) = 0.3513565383868072 " "
absolute error = 1.015854067532018200000000000000E-14 " "
relative error = 2.89123427785396000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49996162878205136 " "
Order of pole (three term test) = 22.506194331731397 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3400000000000567 " "
y[1] (analytic) = 0.3477816632314714 " "
y[1] (numeric) = 0.3477816632314815 " "
absolute error = 1.010302952408892500000000000000E-14 " "
relative error = 2.9049920085535674000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997377614136439 " "
Order of pole (three term test) = 22.516191658879805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.330000000000057 " "
y[1] (analytic) = 0.3441720101996398 " "
y[1] (numeric) = 0.34417201019964977 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 2.9032015752328216000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4993140056037524 " "
Order of pole (three term test) = 22.526182509580554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.320000000000057 " "
y[1] (analytic) = 0.3405279402535972 " "
y[1] (numeric) = 0.3405279402536071 " "
absolute error = 9.880984919163893000000000000000E-15 " "
relative error = 2.901666427666801000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49869053084905085 " "
Order of pole (three term test) = 22.53616288762657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3100000000000573 " "
y[1] (analytic) = 0.3368498177973016 " "
y[1] (numeric) = 0.33684981779731143 " "
absolute error = 9.825473767932635000000000000000E-15 " "
relative error = 2.9168707384740470000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.497867586531128 " "
Order of pole (three term test) = 22.5461288009997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.3000000000000576 " "
y[1] (analytic) = 0.33313801063993354 " "
y[1] (numeric) = 0.3331380106399433 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 2.9327072578520835000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4968455018167386 " "
Order of pole (three term test) = 22.556076263467467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2900000000000578 " "
y[1] (analytic) = 0.3293928899591156 " "
y[1] (numeric) = 0.32939288995912525 " "
absolute error = 9.658940314238862000000000000000E-15 " "
relative error = 2.932346328251874000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49562468552614103 " "
Order of pole (three term test) = 22.566001296177525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.280000000000058 " "
y[1] (analytic) = 0.32561483026379484 " "
y[1] (numeric) = 0.32561483026380444 " "
absolute error = 9.603429163007604000000000000000E-15 " "
relative error = 2.9493217969302704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4942056259695741 " "
Order of pole (three term test) = 22.575899929249125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.270000000000058 " "
y[1] (analytic) = 0.32180420935679255 " "
y[1] (numeric) = 0.32180420935680204 " "
absolute error = 9.492406860545088000000000000000E-15 " "
relative error = 2.9497460208858284000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49258889075193973 " "
Order of pole (three term test) = 22.585768203361 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2600000000000584 " "
y[1] (analytic) = 0.3179614082970238 " "
y[1] (numeric) = 0.31796140829703323 " "
absolute error = 9.43689570931383100000000000000E-15 " "
relative error = 2.967937448716528000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4907751265457688 " "
Order of pole (three term test) = 22.59560217133509 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2500000000000586 " "
y[1] (analytic) = 0.3140868113613923 " "
y[1] (numeric) = 0.3140868113614017 " "
absolute error = 9.381384558082573000000000000000E-15 " "
relative error = 2.9868763089476660000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48876505883256094 " "
Order of pole (three term test) = 22.60539789971533 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.240000000000059 " "
y[1] (analytic) = 0.3101808060063629 " "
y[1] (numeric) = 0.31018080600637216 " "
absolute error = 9.270362255620057000000000000000E-15 " "
relative error = 2.9886962945830664000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4865594916126002 " "
Order of pole (three term test) = 22.615151470340965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.230000000000059 " "
y[1] (analytic) = 0.30624378282921594 " "
y[1] (numeric) = 0.3062437828292251 " "
absolute error = 9.159339953157541000000000000000E-15 " "
relative error = 2.990865600124023600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48415930708336835 " "
Order of pole (three term test) = 22.624858981913807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2200000000000593 " "
y[1] (analytic) = 0.30227613552898835 " "
y[1] (numeric) = 0.30227613552899746 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 3.0117590282125410000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48156546528667427 " "
Order of pole (three term test) = 22.634516551558644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2100000000000595 " "
y[1] (analytic) = 0.29827826086710385 " "
y[1] (numeric) = 0.29827826086711284 " "
absolute error = 8.992806499463768000000000000000E-15 " "
relative error = 3.0149051001308000000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4787790037246528 " "
Order of pole (three term test) = 22.644120316376384 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.2000000000000597 " "
y[1] (analytic) = 0.294250558627697 " "
y[1] (numeric) = 0.2942505586277059 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 3.018442594781614000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47580103694477616 " "
Order of pole (three term test) = 22.653666434989148 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.19000000000006 " "
y[1] (analytic) = 0.29019343157763533 " "
y[1] (numeric) = 0.29019343157764416 " "
absolute error = 8.826273045769994000000000000000E-15 " "
relative error = 3.041513723376163000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4726327560940513 " "
Order of pole (three term test) = 22.66315108907678 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.18000000000006 " "
y[1] (analytic) = 0.286107285426243 " "
y[1] (numeric) = 0.28610728542625175 " "
absolute error = 8.770761894538737000000000000000E-15 " "
relative error = 3.065550002151132000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46927542844257464 " "
Order of pole (three term test) = 22.67257048490411 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1700000000000603 " "
y[1] (analytic) = 0.28199252878472997 " "
y[1] (numeric) = 0.2819925287847386 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 3.0709110022865080000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4657303968766432 " "
Order of pole (three term test) = 22.68192085483837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1600000000000605 " "
y[1] (analytic) = 0.2778495731253315 " "
y[1] (numeric) = 0.27784957312534003 " "
absolute error = 8.548717289613705000000000000000E-15 " "
relative error = 3.076742999262258000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46199907936161705 " "
Order of pole (three term test) = 22.69119845885628 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1500000000000608 " "
y[1] (analytic) = 0.27367883274016097 " "
y[1] (numeric) = 0.27367883274016946 " "
absolute error = 8.493206138382448000000000000000E-15 " "
relative error = 3.1033478378089097000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4580829683747517 " "
Order of pole (three term test) = 22.700399586039936 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.140000000000061 " "
y[1] (analytic) = 0.2694807246997814 " "
y[1] (numeric) = 0.2694807246997898 " "
absolute error = 8.382183835919932000000000000000E-15 " "
relative error = 3.1104947655377635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4539836303082282 " "
Order of pole (three term test) = 22.709520556061122 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.130000000000061 " "
y[1] (analytic) = 0.26525566881149837 " "
y[1] (numeric) = 0.26525566881150664 " "
absolute error = 8.271161533457416000000000000000E-15 " "
relative error = 3.1181846444666350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44970270484261565 " "
Order of pole (three term test) = 22.71855772065346 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1200000000000614 " "
y[1] (analytic) = 0.2610040875773798 " "
y[1] (numeric) = 0.261004087577388 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 3.1477094701784960000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44524190429102206 " "
Order of pole (three term test) = 22.727507465071596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.1100000000000616 " "
y[1] (analytic) = 0.25672640615200626 " "
y[1] (numeric) = 0.25672640615201436 " "
absolute error = 8.104628079763643000000000000000E-15 " "
relative error = 3.1569125284934413000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44060301291419185 " "
Order of pole (three term test) = 22.7363662095371 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.100000000000062 " "
y[1] (analytic) = 0.25242305229995543 " "
y[1] (numeric) = 0.2524230522999634 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 3.166749512165113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4357878862068243 " "
Order of pole (three term test) = 22.7451304106703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.090000000000062 " "
y[1] (analytic) = 0.24809445635302643 " "
y[1] (numeric) = 0.24809445635303434 " "
absolute error = 7.91033905045424000000000000000E-15 " "
relative error = 3.18843845474653000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4307984501554018 " "
Order of pole (three term test) = 22.75379656290758 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0800000000000622 " "
y[1] (analytic) = 0.24374105116720685 " "
y[1] (numeric) = 0.24374105116721467 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 3.211224488499463000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42563670046782 " "
Order of pole (three term test) = 22.762361199903623 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0700000000000625 " "
y[1] (analytic) = 0.2393632720793874 " "
y[1] (numeric) = 0.23936327207939515 " "
absolute error = 7.743805596760467000000000000000E-15 " "
relative error = 3.2351686745793445000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42030470177513113 " "
Order of pole (three term test) = 22.77082089591779 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0600000000000627 " "
y[1] (analytic) = 0.23496155686382875 " "
y[1] (numeric) = 0.2349615568638364 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 3.260337125852984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4148045868057203 " "
Order of pole (three term test) = 22.779172267184503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.050000000000063 " "
y[1] (analytic) = 0.23053634568838435 " "
y[1] (numeric) = 0.23053634568839193 " "
absolute error = 7.577272143066693000000000000000E-15 " "
relative error = 3.2868015325049355000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4091385555322415 " "
Order of pole (three term test) = 22.787411973266586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.040000000000063 " "
y[1] (analytic) = 0.22608808107048411 " "
y[1] (numeric) = 0.22608808107049158 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.302363311348791000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40330887429165757 " "
Order of pole (three term test) = 22.79553671839147 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0300000000000633 " "
y[1] (analytic) = 0.2216172078328829 " "
y[1] (numeric) = 0.2216172078328903 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 3.3314123871304480000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.397317874878737 " "
Order of pole (three term test) = 22.80354325276943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0200000000000635 " "
y[1] (analytic) = 0.21712417305917883 " "
y[1] (numeric) = 0.2171241730591861 " "
absolute error = 7.271960811294775000000000000000E-15 " "
relative error = 3.3492175048205003000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.391167953613366 " "
Order of pole (three term test) = 22.81142837389347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.0100000000000637 " "
y[1] (analytic) = 0.21260942604910504 " "
y[1] (numeric) = 0.2126094260491122 " "
absolute error = 7.16093850883226000000000000000E-15 " "
relative error = 3.368119016124122000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38486157038205265 " "
Order of pole (three term test) = 22.81918892782028 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000000064 " "
y[1] (analytic) = 0.20807341827360026 " "
y[1] (numeric) = 0.20807341827360734 " "
absolute error = 7.077671781985373000000000000000E-15 " "
relative error = 3.4015261731696970000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.378401247654006 " "
Order of pole (three term test) = 22.82682181043176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.990000000000064 " "
y[1] (analytic) = 0.20351660332966198 " "
y[1] (numeric) = 0.20351660332966906 " "
absolute error = 7.077671781985373000000000000000E-15 " "
relative error = 3.477687651125328000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37178956947218 " "
Order of pole (three term test) = 22.83432396867662 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.980000000000064 " "
y[1] (analytic) = 0.1989394368949873 " "
y[1] (numeric) = 0.1989394368949944 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 3.571653498422081000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3650291804196936 " "
Order of pole (three term test) = 22.841692401791626 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.970000000000064 " "
y[1] (analytic) = 0.19434237668240548 " "
y[1] (numeric) = 0.19434237668241258 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 3.656138964078174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3581227845620298 " "
Order of pole (three term test) = 22.84892416250174 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.960000000000064 " "
y[1] (analytic) = 0.18972588239410682 " "
y[1] (numeric) = 0.18972588239411395 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 3.759731062101097600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3510731443654481 " "
Order of pole (three term test) = 22.85601635819911 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.950000000000064 " "
y[1] (analytic) = 0.18509041567567314 " "
y[1] (numeric) = 0.18509041567568027 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 3.853891033296848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34388307959203346 " "
Order of pole (three term test) = 22.862966152100032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.940000000000064 " "
y[1] (analytic) = 0.18043644006991338 " "
y[1] (numeric) = 0.18043644006992052 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 3.953293985656527500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3365554661718282 " "
Order of pole (three term test) = 22.86977076437959 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9300000000000639 " "
y[1] (analytic) = 0.17576442097050984 " "
y[1] (numeric) = 0.17576442097051698 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 4.058377055964843000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3290932350525007 " "
Order of pole (three term test) = 22.8764274732836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9200000000000639 " "
y[1] (analytic) = 0.17107482557547912 " "
y[1] (numeric) = 0.17107482557548626 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 4.169627476878199300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32149937102700354 " "
Order of pole (three term test) = 22.882933616217272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9100000000000639 " "
y[1] (analytic) = 0.16636812284045274 " "
y[1] (numeric) = 0.16636812284045988 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 4.287589961003143700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3137769115396963 " "
Order of pole (three term test) = 22.889286590810176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.9000000000000639 " "
y[1] (analytic) = 0.16164478343178193 " "
y[1] (numeric) = 0.16164478343178906 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 4.412875430791126700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3059289454714101 " "
Order of pole (three term test) = 22.895483855957174 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8900000000000639 " "
y[1] (analytic) = 0.1569052796794715 " "
y[1] (numeric) = 0.15690527967947862 " "
absolute error = 7.13318293321663100000000000000E-15 " "
relative error = 4.546171389381164000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29795861190393325 " "
Order of pole (three term test) = 22.90152293283483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8800000000000638 " "
y[1] (analytic) = 0.15215008552994705 " "
y[1] (numeric) = 0.1521500855299542 " "
absolute error = 7.16093850883226000000000000000E-15 " "
relative error = 4.706496538526626000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2898690988644235 " "
Order of pole (three term test) = 22.907401405892923 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8700000000000638 " "
y[1] (analytic) = 0.14737967649866096 " "
y[1] (numeric) = 0.14737967649866812 " "
absolute error = 7.16093850883226000000000000000E-15 " "
relative error = 4.85883717413189000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2816636420502378 " "
Order of pole (three term test) = 22.913116923820596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8600000000000638 " "
y[1] (analytic) = 0.14259452962254096 " "
y[1] (numeric) = 0.14259452962254815 " "
absolute error = 7.188694084447889000000000000000E-15 " "
relative error = 5.041353341868677000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27334552353469715 " "
Order of pole (three term test) = 22.918667200486905 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8500000000000638 " "
y[1] (analytic) = 0.1377951234122871 " "
y[1] (numeric) = 0.1377951234122943 " "
absolute error = 7.188694084447889000000000000000E-15 " "
relative error = 5.216943754198835000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2649180704543005 " "
Order of pole (three term test) = 22.92405001585517 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8400000000000638 " "
y[1] (analytic) = 0.1329819378045209 " "
y[1] (numeric) = 0.1329819378045281 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 5.426638970076871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25638465367791663 " "
Order of pole (three term test) = 22.92926321687102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8300000000000638 " "
y[1] (analytic) = 0.12815545411379214 " "
y[1] (numeric) = 0.12815545411379936 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 5.631012515203503000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24774868645847775 " "
Order of pole (three term test) = 22.934304718323553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8200000000000638 " "
y[1] (analytic) = 0.1233161549844479 " "
y[1] (numeric) = 0.1233161549844551 " "
absolute error = 7.202571872255703000000000000000E-15 " "
relative error = 5.8407366603054240000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23901362306772736 " "
Order of pole (three term test) = 22.9391725036794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8100000000000638 " "
y[1] (analytic) = 0.1184645243423683 " "
y[1] (numeric) = 0.1184645243423755 " "
absolute error = 7.202571872255703000000000000000E-15 " "
relative error = 6.079939891068077000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2301829574145557 " "
Order of pole (three term test) = 22.943864625889344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.8000000000000638 " "
y[1] (analytic) = 0.11360104734657459 " "
y[1] (numeric) = 0.11360104734658179 " "
absolute error = 7.202571872255703000000000000000E-15 " "
relative error = 6.3402336866508490000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22126022164748346 " "
Order of pole (three term test) = 22.948379208167047 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7900000000000638 " "
y[1] (analytic) = 0.10872621034071342 " "
y[1] (numeric) = 0.10872621034072064 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 6.637267718105372000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.212248984741849 " "
Order of pole (three term test) = 22.95271444473979 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7800000000000638 " "
y[1] (analytic) = 0.10384050080442307 " "
y[1] (numeric) = 0.10384050080443029 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 6.949552057395445000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20315285107226655 " "
Order of pole (three term test) = 22.956868601570743 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7700000000000637 " "
y[1] (analytic) = 9.89444073045857500E-2 " "
y[1] (numeric) = 9.89444073045929600E-2 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 7.293438665864906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19397545897092405 " "
Order of pole (three term test) = 22.96084001705258 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7600000000000637 " "
y[1] (analytic) = 9.40384194464713400E-2 " "
y[1] (numeric) = 9.40384194464785700E-2 " "
absolute error = 7.230327447871332000000000000000E-15 " "
relative error = 7.68869520609817100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18472047927229787 " "
Order of pole (three term test) = 22.964627102672043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7500000000000637 " "
y[1] (analytic) = 8.91230278247773900E-2 " "
y[1] (numeric) = 8.91230278247846300E-2 " "
absolute error = 7.230327447871332000000000000000E-15 " "
relative error = 8.112748886950634000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1753916138448696 " "
Order of pole (three term test) = 22.968228343645375 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7400000000000637 " "
y[1] (analytic) = 8.41987239745699100E-2 " "
y[1] (numeric) = 8.41987239745771500E-2 " "
absolute error = 7.230327447871332000000000000000E-15 " "
relative error = 8.587217366922412000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16599259411042722 " "
Order of pole (three term test) = 22.971642299524216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7300000000000637 " "
y[1] (analytic) = 7.92660003221303400E-2 " "
y[1] (numeric) = 7.92660003221375800E-2 " "
absolute error = 7.230327447871332000000000000000E-15 " "
relative error = 9.121599952675662000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1565271795515456 " "
Order of pole (three term test) = 22.97486760477172 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7200000000000637 " "
y[1] (analytic) = 7.43253501357133300E-2 " "
y[1] (numeric) = 7.43253501357205700E-2 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 9.746614341475273000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1469991562078446 " "
Order of pole (three term test) = 22.977902969308815 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7100000000000637 " "
y[1] (analytic) = 6.93772674762203300E-2 " "
y[1] (numeric) = 6.93772674762275800E-2 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 1.044175635508008500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13741233516162327 " "
Order of pole (three term test) = 22.980747179030132 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.7000000000000637 " "
y[1] (analytic) = 6.44222471477939200E-2 " "
y[1] (numeric) = 6.44222471478011600E-2 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 1.12448813203611110000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12777055101347723 " "
Order of pole (three term test) = 22.983399096289716 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6900000000000637 " "
y[1] (analytic) = 5.94607846483377500E-2 " "
y[1] (numeric) = 5.946078464834500E-2 " "
absolute error = 7.251144129583054000000000000000E-15 " "
relative error = 1.219483424658400200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11807766034851049 " "
Order of pole (three term test) = 22.985857660356018 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6800000000000637 " "
y[1] (analytic) = 5.449337611996723000E-2 " "
y[1] (numeric) = 5.449337611997449000E-2 " "
absolute error = 7.251144129583054000000000000000E-15 " "
relative error = 1.330646886994054000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10833754019375204 " "
Order of pole (three term test) = 22.988121887836186 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6700000000000637 " "
y[1] (analytic) = 4.952051829939571600E-2 " "
y[1] (numeric) = 4.952051829940297000E-2 " "
absolute error = 7.258083023486961000000000000000E-15 " "
relative error = 1.465671861430321300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.85540864673973700E-2 " "
Order of pole (three term test) = 22.990190873069434 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6600000000000636 " "
y[1] (analytic) = 4.454270846826121600E-2 " "
y[1] (numeric) = 4.45427084682684770E-2 " "
absolute error = 7.265021917390868000000000000000E-15 " "
relative error = 1.63102383470182100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.87312124204927600E-2 " "
Order of pole (three term test) = 22.992063788489247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6500000000000636 " "
y[1] (analytic) = 3.9560444403398700E-2 " "
y[1] (numeric) = 3.95604444034059600E-2 " "
absolute error = 7.265021917390868000000000000000E-15 " "
relative error = 1.836435870969821000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.88728470716870200E-2 " "
Order of pole (three term test) = 22.99373988495442 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6400000000000636 " "
y[1] (analytic) = 3.45742243270627600E-2 " "
y[1] (numeric) = 3.45742243270700300E-2 " "
absolute error = 7.271960811294775000000000000000E-15 " "
relative error = 2.10328964794813700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.89829336356765600E-2 " "
Order of pole (three term test) = 22.995218492048725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6300000000000636 " "
y[1] (analytic) = 2.958454685710587600E-2 " "
y[1] (numeric) = 2.95845468571131530E-2 " "
absolute error = 7.275430258246729000000000000000E-15 " "
relative error = 2.459199491338246400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.90654279459719500E-2 " "
Order of pole (three term test) = 22.996499018349034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6200000000000636 " "
y[1] (analytic) = 2.45919109571169900E-2 " "
y[1] (numeric) = 2.459191095712426600E-2 " "
absolute error = 7.275430258246729000000000000000E-15 " "
relative error = 2.95846478581250400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.91242968726175570E-2 " "
Order of pole (three term test) = 22.997580951661906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6100000000000636 " "
y[1] (analytic) = 1.959681588652558100E-2 " "
y[1] (numeric) = 1.959681588653286500E-2 " "
absolute error = 7.282369152150636000000000000000E-15 " "
relative error = 3.716098163252052300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.91635167354959570E-2 " "
Order of pole (three term test) = 22.99846385922844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.6000000000000636 " "
y[1] (analytic) = 1.459976115067614700E-2 " "
y[1] (numeric) = 1.459976115068343200E-2 " "
absolute error = 7.287573322578567000000000000000E-15 " "
relative error = 4.99157023691518700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.91870717138534630E-2 " "
Order of pole (three term test) = 22.999147387897377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5900000000000636 " "
y[1] (analytic) = 9.60124645087807000E-3 " "
y[1] (numeric) = 9.601246450885361000E-3 " "
absolute error = 7.29104276953052000000000000000E-15 " "
relative error = 7.59385024312517900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.91989522526811600E-2 " "
Order of pole (three term test) = 22.99963126426636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5800000000000636 " "
y[1] (analytic) = 4.601771634435919000E-3 " "
y[1] (numeric) = 4.601771634443214000E-3 " "
absolute error = 7.295379578220462000000000000000E-15 " "
relative error = 1.58534150708995870000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.203153466590404000E-3 " "
Order of pole (three term test) = 22.999915294791297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5700000000000636 " "
y[1] (analytic) = -3.9816335533487930000E-4 " "
y[1] (numeric) = -3.981633553275789600E-4 " "
absolute error = 7.300312698105271000000000000000E-15 " "
relative error = 1.8334968801850862000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.9632645817990930000E-4 " "
Order of pole (three term test) = 22.99999936586377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5600000000000636 " "
y[1] (analytic) = -5.398058529101946000E-3 " "
y[1] (numeric) = -5.398058529094641000E-3 " "
absolute error = 7.304920557338335000000000000000E-15 " "
relative error = 1.35324960223312470000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.079548786298449400E-2 " "
Order of pole (three term test) = 22.99988344385647 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5500000000000635 " "
y[1] (analytic) = -1.039741390151446800E-2 " "
y[1] (numeric) = -1.03974139015071600E-2 " "
absolute error = 7.308390004290288000000000000000E-15 " "
relative error = 7.02904594692124500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.079033121658179800E-2 " "
Order of pole (three term test) = 22.999567575136645 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5400000000000635 " "
y[1] (analytic) = -1.539572954120132500E-2 " "
y[1] (numeric) = -1.53957295411940100E-2 " "
absolute error = 7.313594174718219000000000000000E-15 " "
relative error = 4.75040442555575200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.077685871489318500E-2 " "
Order of pole (three term test) = 22.999051886047578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5300000000000635 " "
y[1] (analytic) = -2.03925056207637900E-2 " "
y[1] (numeric) = -2.039250562075647400E-2 " "
absolute error = 7.317063621670172000000000000000E-15 " "
relative error = 3.58811406393331530000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.07510758800712750E-2 " "
Order of pole (three term test) = 22.998336582858027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5200000000000635 " "
y[1] (analytic) = -2.53872424667578800E-2 " "
y[1] (numeric) = -2.538724246675055400E-2 " "
absolute error = 7.32400251557408000000000000000E-15 " "
relative error = 2.88491454917332900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.07089931582377700E-2 " "
Order of pole (three term test) = 22.997421951679733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5100000000000635 " "
y[1] (analytic) = -3.037944060966125700E-2 " "
y[1] (numeric) = -3.03794406096539300E-2 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 2.411983833631141400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.064662751525186000E-2 " "
Order of pole (three term test) = 22.99630835835298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.5000000000000635 " "
y[1] (analytic) = -3.536860083381978500E-2 " "
y[1] (numeric) = -3.53686008338124470E-2 " "
absolute error = 7.33441085642994000000000000000E-15 " "
relative error = 2.073706814383425600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.05600040298707700E-2 " "
Order of pole (three term test) = 22.994996248300232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4900000000000635 " "
y[1] (analytic) = -4.03542242273686600E-2 " "
y[1] (numeric) = -4.035422422736132400E-2 " "
absolute error = 7.33441085642994000000000000000E-15 " "
relative error = 1.817507583618883000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.04451574836651900E-2 " "
Order of pole (three term test) = 22.993486146348033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4800000000000635 " "
y[1] (analytic) = -4.53358122321232100E-2 " "
y[1] (numeric) = -4.53358122321158700E-2 " "
absolute error = 7.341349750333848000000000000000E-15 " "
relative error = 1.619326838735239400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.02981339470540400E-2 " "
Order of pole (three term test) = 22.991778656517017 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4700000000000635 " "
y[1] (analytic) = -5.03128666934342800E-2 " "
y[1] (numeric) = -5.031286669342693000E-2 " "
absolute error = 7.348288644237755000000000000000E-15 " "
relative error = 1.46051877524933200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10011499236082312 " "
Order of pole (three term test) = 22.989874461780357 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4600000000000635 " "
y[1] (analytic) = -5.528488991000323000E-2 " "
y[1] (numeric) = -5.52848899099958800E-2 " "
absolute error = 7.355227538141662000000000000000E-15 " "
relative error = 1.330422752060289300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10989180611249656 " "
Order of pole (three term test) = 22.987774323790553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4500000000000635 " "
y[1] (analytic) = -6.025138468365179000E-2 " "
y[1] (numeric) = -6.025138468364443000E-2 " "
absolute error = 7.36216643204556900000000000000E-15 " "
relative error = 1.22190825500532800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11962466460692948 " "
Order of pole (three term test) = 22.985479082574813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4400000000000635 " "
y[1] (analytic) = -6.5211854369041300E-2 " "
y[1] (numeric) = -6.52118543690339300E-2 " "
absolute error = 7.369105325949477000000000000000E-15 " "
relative error = 1.130025422102992500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.129309674830494 " "
Order of pole (three term test) = 22.982989656199006 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4300000000000634 " "
y[1] (analytic) = -7.01658029233369200E-2 " "
y[1] (numeric) = -7.01658029233295500E-2 " "
absolute error = 7.369105325949477000000000000000E-15 " "
relative error = 1.050241715896980800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13894296290823244 " "
Order of pole (three term test) = 22.98030704040049 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4200000000000634 " "
y[1] (analytic) = -7.51127349558115200E-2 " "
y[1] (numeric) = -7.51127349558041600E-2 " "
absolute error = 7.369105325949477000000000000000E-15 " "
relative error = 9.81072694302063000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14852067565335555 " "
Order of pole (three term test) = 22.977432308189833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4100000000000634 " "
y[1] (analytic) = -8.0052155777384290E-2 " "
y[1] (numeric) = -8.00521557773769100E-2 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 9.222716168054869000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15803898210846667 " "
Order of pole (three term test) = 22.974366609421573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.4000000000000634 " "
y[1] (analytic) = -8.49835714500892200E-2 " "
y[1] (numeric) = -8.49835714500818400E-2 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 8.687541589250942000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1674940750778929 " "
Order of pole (three term test) = 22.971111170334353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3900000000000634 " "
y[1] (analytic) = -8.99064888364685600E-2 " "
y[1] (numeric) = -8.99064888364611700E-2 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 8.211846785815697000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17688217265051215 " "
Order of pole (three term test) = 22.96766729306039 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3800000000000634 " "
y[1] (analytic) = -9.48204156488860600E-2 " "
y[1] (numeric) = -9.48204156488786800E-2 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 7.786280057130317000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18619951971246887 " "
Order of pole (three term test) = 22.964036355104692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3700000000000634 " "
y[1] (analytic) = -9.97248604987554200E-2 " "
y[1] (numeric) = -9.97248604987480500E-2 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 7.403352661345092000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1954423894491679 " "
Order of pole (three term test) = 22.960219808794015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3600000000000634 " "
y[1] (analytic) = -0.10461933294567868 " "
y[1] (numeric) = -0.1046193329456713 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 7.0569969296121820000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20460708483595097 " "
Order of pole (three term test) = 22.956219180696003 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3500000000000634 " "
y[1] (analytic) = -0.10950334354648987 " "
y[1] (numeric) = -0.10950334354648249 " "
absolute error = 7.382983113757291000000000000000E-15 " "
relative error = 6.742244459981106000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21368994011685766 " "
Order of pole (three term test) = 22.952036071008557 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3400000000000634 " "
y[1] (analytic) = -0.1143764039041989 " "
y[1] (numeric) = -0.1143764039041915 " "
absolute error = 7.396860901565105000000000000000E-15 " "
relative error = 6.467121407104808000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22268732227087895 " "
Order of pole (three term test) = 22.947672152919775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3300000000000634 " "
y[1] (analytic) = -0.11923802671683084 " "
y[1] (numeric) = -0.11923802671682344 " "
absolute error = 7.396860901565105000000000000000E-15 " "
relative error = 6.203441221927747000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23159563246511627 " "
Order of pole (three term test) = 22.9431291719387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3200000000000633 " "
y[1] (analytic) = -0.12408772582615579 " "
y[1] (numeric) = -0.1240877258261484 " "
absolute error = 7.396860901565105000000000000000E-15 " "
relative error = 5.960993202444492000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24041130749426864 " "
Order of pole (three term test) = 22.938408945197175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3100000000000633 " "
y[1] (analytic) = -0.12892501626630423 " "
y[1] (numeric) = -0.12892501626629682 " "
absolute error = 7.41073868937292000000000000000E-15 " "
relative error = 5.748099867651354000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24913082120586452 " "
Order of pole (three term test) = 22.933513360722934 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.3000000000000633 " "
y[1] (analytic) = -0.1337494143122632 " "
y[1] (numeric) = -0.1337494143122558 " "
absolute error = 7.41073868937292000000000000000E-15 " "
relative error = 5.540763469865487000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.257750685910678 " "
Order of pole (three term test) = 22.928444376684507 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2900000000000633 " "
y[1] (analytic) = -0.1385604375282484 " "
y[1] (numeric) = -0.138560437528241 " "
absolute error = 7.41073868937292000000000000000E-15 " "
relative error = 5.3483799716366290000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26626745377775707 " "
Order of pole (three term test) = 22.923204020607923 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2800000000000633 " "
y[1] (analytic) = -0.14335760481594742 " "
y[1] (numeric) = -0.14335760481594 " "
absolute error = 7.41073868937292000000000000000E-15 " "
relative error = 5.169407440147558000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27467771821351034 " "
Order of pole (three term test) = 22.91779438856574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2700000000000633 " "
y[1] (analytic) = -0.14814043646262914 " "
y[1] (numeric) = -0.1481404364626217 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 5.021245004138375000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28297811522429933 " "
Order of pole (three term test) = 22.912217644338646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2600000000000633 " "
y[1] (analytic) = -0.15290845418911453 " "
y[1] (numeric) = -0.1529084541891071 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 4.86467167851213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2911653247619894 " "
Order of pole (three term test) = 22.906476018549977 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2500000000000633 " "
y[1] (analytic) = -0.1576611811976043 " "
y[1] (numeric) = -0.15766118119759687 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 4.718025203468143600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29923607205192765 " "
Order of pole (three term test) = 22.900571807773503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2400000000000633 " "
y[1] (analytic) = -0.1623981422193582 " "
y[1] (numeric) = -0.16239814221935076 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 4.580406009165458000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30718712890280586 " "
Order of pole (three term test) = 22.894507373614807 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2300000000000633 " "
y[1] (analytic) = -0.1671188635622215 " "
y[1] (numeric) = -0.16711886356221403 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 4.467628418155412000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31501531499789703 " "
Order of pole (three term test) = 22.888285141766683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2200000000000633 " "
y[1] (analytic) = -0.1718228731579938 " "
y[1] (numeric) = -0.17182287315798636 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 4.329164172542231000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.322717499167137 " "
Order of pole (three term test) = 22.88190760103893 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2100000000000632 " "
y[1] (analytic) = -0.17650970060963558 " "
y[1] (numeric) = -0.17650970060962812 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 4.229937399937212500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33029060063955284 " "
Order of pole (three term test) = 22.87537730236279 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.2000000000000632 " "
y[1] (analytic) = -0.1811788772383073 " "
y[1] (numeric) = -0.18117887723829984 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 4.120927314713241400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33773159027552885 " "
Order of pole (three term test) = 22.868696857770665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1900000000000632 " "
y[1] (analytic) = -0.18582993613023713 " "
y[1] (numeric) = -0.18582993613022963 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.0327223763170780000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3450374917784224 " "
Order of pole (three term test) = 22.86186893935133 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1800000000000632 " "
y[1] (analytic) = -0.19046241218341167 " "
y[1] (numeric) = -0.19046241218340418 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 3.9346374595966066000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35220538288504327 " "
Order of pole (three term test) = 22.85489627818111 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1700000000000632 " "
y[1] (analytic) = -0.195075842154086 " "
y[1] (numeric) = -0.19507584215407853 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.827357482176985700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3592323965345192 " "
Order of pole (three term test) = 22.847781663231494 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1600000000000632 " "
y[1] (analytic) = -0.1996697647031076 " "
y[1] (numeric) = -0.19966976470310013 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.739299163148648300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36611572201508263 " "
Order of pole (three term test) = 22.840527940253622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1500000000000632 " "
y[1] (analytic) = -0.2042437204420498 " "
y[1] (numeric) = -0.20424372044204234 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.6555590666115884000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.372852606088318 " "
Order of pole (three term test) = 22.833138010639956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1400000000000632 " "
y[1] (analytic) = -0.20879725197915033 " "
y[1] (numeric) = -0.20879725197914287 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.5758372152090040000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3794403540904199 " "
Order of pole (three term test) = 22.825614830263817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1300000000000632 " "
y[1] (analytic) = -0.21332990396505008 " "
y[1] (numeric) = -0.21332990396504262 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.499860873620126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3858763310100226 " "
Order of pole (three term test) = 22.817961408297048 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1200000000000632 " "
y[1] (analytic) = -0.21784122313832766 " "
y[1] (numeric) = -0.2178412231383202 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.4273815272617897000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3921579625421708 " "
Order of pole (three term test) = 22.810180806006386 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1100000000000632 " "
y[1] (analytic) = -0.22233075837082514 " "
y[1] (numeric) = -0.22233075837081767 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.3581722543991105000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39828273611800513 " "
Order of pole (three term test) = 22.802276135529013 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.1000000000000631 " "
y[1] (analytic) = -0.22679806071276054 " "
y[1] (numeric) = -0.22679806071275307 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.292025433171659000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4042482019097579 " "
Order of pole (three term test) = 22.794250558627724 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0900000000000631 " "
y[1] (analytic) = -0.23124268343762244 " "
y[1] (numeric) = -0.23124268343761498 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.2287507347743580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41005197381065095 " "
Order of pole (three term test) = 22.786107285426272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0800000000000631 " "
y[1] (analytic) = -0.23566418208684217 " "
y[1] (numeric) = -0.2356641820868347 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.16817336198034000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4156917303893064 " "
Order of pole (three term test) = 22.777849573125362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0700000000000631 " "
y[1] (analytic) = -0.24006211451423937 " "
y[1] (numeric) = -0.2400621145142319 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.1101324987126680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42116521581828886 " "
Order of pole (three term test) = 22.76948072469981 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.0600000000000631 " "
y[1] (analytic) = -0.24443604093023624 " "
y[1] (numeric) = -0.24443604093022878 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.0544799417427554000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42647024077640516 " "
Order of pole (three term test) = 22.76100408757741 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.050000000000063 " "
y[1] (analytic) = -0.2487855239458361 " "
y[1] (numeric) = -0.24878552394582865 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 3.0010788900360935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4316046833244051 " "
Order of pole (three term test) = 22.752423052299985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.040000000000063 " "
y[1] (analytic) = -0.253110128616362 " "
y[1] (numeric) = -0.2531101286163545 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.960768680884533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43656648975372764 " "
Order of pole (three term test) = 22.743741051167234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.030000000000063 " "
y[1] (analytic) = -0.25740942248495063 " "
y[1] (numeric) = -0.25740942248494314 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.9113174428018235000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4413536754079572 " "
Order of pole (three term test) = 22.734961556863855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.020000000000063 " "
y[1] (analytic) = -0.2616829756257979 " "
y[1] (numeric) = -0.2616829756257904 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.863772623457211400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4459643254766613 " "
Order of pole (three term test) = 22.726088081070515 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.010000000000063 " "
y[1] (analytic) = -0.26593036068715104 " "
y[1] (numeric) = -0.26593036068714354 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.8180330357375005000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4503965957612863 " "
Order of pole (three term test) = 22.71712417305921 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000000063 " "
y[1] (analytic) = -0.27015115293404335 " "
y[1] (numeric) = -0.27015115293403585 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.7740046025453935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45464871341281476 " "
Order of pole (three term test) = 22.70807341827363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.990000000000063 " "
y[1] (analytic) = -0.27434493029076745 " "
y[1] (numeric) = -0.27434493029075996 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.731599744991534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4587189776408799 " "
Order of pole (three term test) = 22.698939436895014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.980000000000063 " "
y[1] (analytic) = -0.27851127338308246 " "
y[1] (numeric) = -0.278511273383075 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.670805448782377000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4626057603940603 " "
Order of pole (three term test) = 22.68972588239413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.970000000000063 " "
y[1] (analytic) = -0.28264976558015115 " "
y[1] (numeric) = -0.2826497655801437 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.631700135933497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4663075070110775 " "
Order of pole (three term test) = 22.680436440069943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.960000000000063 " "
y[1] (analytic) = -0.28675999303620253 " "
y[1] (numeric) = -0.28675999303619504 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.6133371454203214000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4698227368426408 " "
Order of pole (three term test) = 22.671074825575506 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.950000000000063 " "
y[1] (analytic) = -0.2908415447319161 " "
y[1] (numeric) = -0.29084154473190865 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.557576247177823000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4731500438436868 " "
Order of pole (three term test) = 22.661644783431814 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.940000000000063 " "
y[1] (analytic) = -0.29489401251552366 " "
y[1] (numeric) = -0.2948940125155162 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.5224297372253274000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47628809713577863 " "
Order of pole (three term test) = 22.65215008552998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.930000000000063 " "
y[1] (analytic) = -0.29891699114362386 " "
y[1] (numeric) = -0.2989169911436164 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.4884815802974863000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47923564153943904 " "
Order of pole (three term test) = 22.642594529622567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.920000000000063 " "
y[1] (analytic) = -0.30291007832170636 " "
y[1] (numeric) = -0.3029100783216989 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.4556773766663775000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48199149807620734 " "
Order of pole (three term test) = 22.632981937804548 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.910000000000063 " "
y[1] (analytic) = -0.3068728747443809 " "
y[1] (numeric) = -0.30687287474437347 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.423966038440076900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4845545644402126 " "
Order of pole (three term test) = 22.623316154984476 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.900000000000063 " "
y[1] (analytic) = -0.31080498413530755 " "
y[1] (numeric) = -0.3108049841353001 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.393299543018343000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48692381543908336 " "
Order of pole (three term test) = 22.613601047346606 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.890000000000063 " "
y[1] (analytic) = -0.31470601328682396 " "
y[1] (numeric) = -0.3147060132868165 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.3636327082854575000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4890983034040092 " "
Order of pole (three term test) = 22.603840500804456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.880000000000063 " "
y[1] (analytic) = -0.31857557209926585 " "
y[1] (numeric) = -0.3185755720992584 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.3349229873377636000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4910771585687974 " "
Order of pole (three term test) = 22.5940384194465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.870000000000063 " "
y[1] (analytic) = -0.3224132736199765 " "
y[1] (numeric) = -0.3224132736199691 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 2.307130280794886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49285958941776625 " "
Order of pole (three term test) = 22.584198723974605 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8600000000000629 " "
y[1] (analytic) = -0.3262187340820021 " "
y[1] (numeric) = -0.3262187340819946 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.2972333079853186000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4944448830023413 " "
Order of pole (three term test) = 22.574325350135744 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8500000000000629 " "
y[1] (analytic) = -0.32999157294246745 " "
y[1] (numeric) = -0.32999157294245995 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.2709687248669083000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4958324052262263 " "
Order of pole (three term test) = 22.564422247147828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8400000000000629 " "
y[1] (analytic) = -0.33373141292063063 " "
y[1] (numeric) = -0.33373141292062314 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.2455199379154825000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49702160109903104 " "
Order of pole (three term test) = 22.554493376119996 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8300000000000629 " "
y[1] (analytic) = -0.3374378800356103 " "
y[1] (numeric) = -0.3374378800356028 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.220854817908693200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49801199495826276 " "
Order of pole (three term test) = 22.544542708468292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8200000000000629 " "
y[1] (analytic) = -0.34111060364378376 " "
y[1] (numeric) = -0.34111060364377627 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.1969429669344653000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49880319065958256 " "
Order of pole (three term test) = 22.534574224327095 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8100000000000629 " "
y[1] (analytic) = -0.3447492164758507 " "
y[1] (numeric) = -0.3447492164758432 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.1737556049658938000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49939487173525887 " "
Order of pole (three term test) = 22.52459191095715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.8000000000000629 " "
y[1] (analytic) = -0.34835335467356016 " "
y[1] (numeric) = -0.34835335467355266 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.151265465275164200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49978680152075083 " "
Order of pole (three term test) = 22.51459976115071 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7900000000000629 " "
y[1] (analytic) = -0.3519226578260957 " "
y[1] (numeric) = -0.3519226578260882 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.129446697894344000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997882324936943 " "
Order of pole (three term test) = 22.504601771634466 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7800000000000629 " "
y[1] (analytic) = -0.35545676900611656 " "
y[1] (numeric) = -0.35545676900610906 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.108274780411019000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997086011498376 " "
Order of pole (three term test) = 22.494601941470926 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7700000000000629 " "
y[1] (analytic) = -0.3589553348054498 " "
y[1] (numeric) = -0.3589553348054423 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.0877264354579056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997629153027414 " "
Order of pole (three term test) = 22.48460427045883 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7600000000000628 " "
y[1] (analytic) = -0.36241800537043095 " "
y[1] (numeric) = -0.3624180053704234 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.0830964399063534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49935507198779466 " "
Order of pole (three term test) = 22.474612757533272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7500000000000628 " "
y[1] (analytic) = -0.365844434436889 " "
y[1] (numeric) = -0.36584443443688147 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.0635865566935158000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4987474933020317 " "
Order of pole (three term test) = 22.464631399166212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7400000000000628 " "
y[1] (analytic) = -0.36923427936477277 " "
y[1] (numeric) = -0.3692342793647652 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.0446412994045904000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49794042226882573 " "
Order of pole (three term test) = 22.454664187767907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7300000000000628 " "
y[1] (analytic) = -0.37258720117241423 " "
y[1] (numeric) = -0.3725872011724067 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.026241519755675700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4969341817058293 " "
Order of pole (three term test) = 22.444715110090026 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7200000000000628 " "
y[1] (analytic) = -0.37590286457042676 " "
y[1] (numeric) = -0.3759028645704192 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.0083689907706556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4957291740958515 " "
Order of pole (three term test) = 22.43478814563099 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7100000000000628 " "
y[1] (analytic) = -0.3791809379952336 " "
y[1] (numeric) = -0.37918093799522606 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 1.991006353685945100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49432588142586925 " "
Order of pole (three term test) = 22.424887265044212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.7000000000000628 " "
y[1] (analytic) = -0.382421093642224 " "
y[1] (numeric) = -0.38242109364221644 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 1.9741370685253187000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4927248649942408 " "
Order of pole (three term test) = 22.415016428549944 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6900000000000628 " "
y[1] (analytic) = -0.38562300749853334 " "
y[1] (numeric) = -0.38562300749852574 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.9721405545832862000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4909267651861918 " "
Order of pole (three term test) = 22.405179584351146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6800000000000628 " "
y[1] (analytic) = -0.38878635937544426 " "
y[1] (numeric) = -0.38878635937543665 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.956094275246493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4889323012176711 " "
Order of pole (three term test) = 22.395380667054347 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6700000000000628 " "
y[1] (analytic) = -0.39191083294040513 " "
y[1] (numeric) = -0.3919108329403976 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 1.9263352612146503000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4867422708476741 " "
Order of pole (three term test) = 22.38562359609583 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6600000000000628 " "
y[1] (analytic) = -0.39499611574866333 " "
y[1] (numeric) = -0.39499611574865573 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.9253424060304974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48435755005914827 " "
Order of pole (three term test) = 22.375912274173874 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6500000000000627 " "
y[1] (analytic) = -0.39804189927450895 " "
y[1] (numeric) = -0.39804189927450134 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.910609845984461700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48177909270861324 " "
Order of pole (three term test) = 22.366250585687766 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6400000000000627 " "
y[1] (analytic) = -0.40104787894212757 " "
y[1] (numeric) = -0.40104787894211996 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.8962892258008304000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47900793014463044 " "
Order of pole (three term test) = 22.356642395184082 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6300000000000627 " "
y[1] (analytic) = -0.40401375415605745 " "
y[1] (numeric) = -0.40401375415604984 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.8823685185095815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.476045170795277 " "
Order of pole (three term test) = 22.347091545810912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6200000000000627 " "
y[1] (analytic) = -0.40693922833124874 " "
y[1] (numeric) = -0.40693922833124113 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.868836226448000700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47289199972478985 " "
Order of pole (three term test) = 22.33760185778067 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6100000000000627 " "
y[1] (analytic) = -0.4098240089227218 " "
y[1] (numeric) = -0.4098240089227142 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.8556813542166975000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4695496781595554 " "
Order of pole (three term test) = 22.328177126842036 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.6000000000000627 " "
y[1] (analytic) = -0.41266780745482146 " "
y[1] (numeric) = -0.41266780745481385 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.8428933833213815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.466019542983636 " "
Order of pole (three term test) = 22.318821122761722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5900000000000627 " "
y[1] (analytic) = -0.4154703395500643 " "
y[1] (numeric) = -0.4154703395500567 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.8304622483805286000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4623030062040339 " "
Order of pole (three term test) = 22.309537587816617 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5800000000000627 " "
y[1] (analytic) = -0.4182313249575763 " "
y[1] (numeric) = -0.41823132495756865 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.831651149203287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4584015543859084 " "
Order of pole (three term test) = 22.30033023529692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5700000000000627 " "
y[1] (analytic) = -0.42095048758111747 " "
y[1] (numeric) = -0.4209504875811098 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.8198194552363808000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45431674805796785 " "
Order of pole (three term test) = 22.291202748020876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5600000000000627 " "
y[1] (analytic) = -0.4236275555066914 " "
y[1] (numeric) = -0.4236275555066838 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.7952155424795538000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45005022108827997 " "
Order of pole (three term test) = 22.282158776861703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5500000000000627 " "
y[1] (analytic) = -0.4262622610297365 " "
y[1] (numeric) = -0.42626226102972886 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.797142175196966800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.445603680030746 " "
Order of pole (three term test) = 22.27320193928726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5400000000000627 " "
y[1] (analytic) = -0.428854340681896 " "
y[1] (numeric) = -0.4288543406818883 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7862798958110135000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4409789034425031 " "
Order of pole (three term test) = 22.264335817913178 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5300000000000626 " "
y[1] (analytic) = -0.4314035352573647 " "
y[1] (numeric) = -0.43140353525735703 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7757246391927436000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4361777411725236 " "
Order of pole (three term test) = 22.255563959069786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5200000000000626 " "
y[1] (analytic) = -0.4339095898388094 " "
y[1] (numeric) = -0.43390958983880173 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7654689016574512000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4312021136217011 " "
Order of pole (three term test) = 22.24688987138367 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5100000000000626 " "
y[1] (analytic) = -0.4363722538228603 " "
y[1] (numeric) = -0.43637225382285266 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7555054893621344000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4260540109747143 " "
Order of pole (three term test) = 22.23831702437423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.5000000000000626 " "
y[1] (analytic) = -0.43879128094517134 " "
y[1] (numeric) = -0.4387912809451637 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7458275044600974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4207354924039822 " "
Order of pole (three term test) = 22.229848847065988 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4900000000000626 " "
y[1] (analytic) = -0.441166429305046 " "
y[1] (numeric) = -0.44116642930503835 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7364283320426170000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41524868524602 " "
Order of pole (three term test) = 22.22148872661694 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4800000000000626 " "
y[1] (analytic) = -0.44349746138962765 " "
y[1] (numeric) = -0.44349746138962 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7273016278177825000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4095957841505351 " "
Order of pole (three term test) = 22.21324000696382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4700000000000626 " "
y[1] (analytic) = -0.44578414409765027 " "
y[1] (numeric) = -0.4457841440976426 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7184413064802767000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4037790502025939 " "
Order of pole (three term test) = 22.205105987484497 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.4600000000000626 " "
y[1] (analytic) = -0.4480262487627487 " "
y[1] (numeric) = -0.44802624876274105 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.7098415307291964000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39780081001822104 " "
Order of pole (three term test) = 22.19708992167832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.45000000000006257 " "
y[1] (analytic) = -0.45022355117632484 " "
y[1] (numeric) = -0.4502235511763172 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.701496700894134000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3916634548137806 " "
Order of pole (three term test) = 22.189195015864712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.44000000000006256 " "
y[1] (analytic) = -0.45237583160996836 " "
y[1] (numeric) = -0.4523758316099607 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6934014451325470000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38536943944952445 " "
Order of pole (three term test) = 22.181424427900758 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.43000000000006255 " "
y[1] (analytic) = -0.4544828748374295 " "
y[1] (numeric) = -0.45448287483742184 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6855506101640877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37892128144767934 " "
Order of pole (three term test) = 22.17378126591802 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.42000000000006255 " "
y[1] (analytic) = -0.45654447015614136 " "
y[1] (numeric) = -0.4565444701561337 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6779392525099743000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37232155998547145 " "
Order of pole (three term test) = 22.166268587079394 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.41000000000006254 " "
y[1] (analytic) = -0.45856041140829007 " "
y[1] (numeric) = -0.4585604114082824 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6705626302076998000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3655729148634907 " "
Order of pole (three term test) = 22.15888939635624 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.40000000000006253 " "
y[1] (analytic) = -0.46053049700143034 " "
y[1] (numeric) = -0.4605304970014227 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6634161949734652000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.358678045449805 " "
Order of pole (three term test) = 22.15164664532646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3900000000000625 " "
y[1] (analytic) = -0.4624545299286446 " "
y[1] (numeric) = -0.46245452992863695 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6564955847865903000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35163970960024965 " "
Order of pole (three term test) = 22.144543230993904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3800000000000625 " "
y[1] (analytic) = -0.4643323177882435 " "
y[1] (numeric) = -0.46433231778823586 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6497966168719558000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3444607225553209 " "
Order of pole (three term test) = 22.137581994629592 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3700000000000625 " "
y[1] (analytic) = -0.4661636728030059 " "
y[1] (numeric) = -0.46616367280299825 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6433152810581217000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33714395581411866 " "
Order of pole (three term test) = 22.13076572063525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3600000000000625 " "
y[1] (analytic) = -0.4679484118389564 " "
y[1] (numeric) = -0.46794841183894875 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6370477334903190000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32969233598578374 " "
Order of pole (three term test) = 22.124097135429594 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3500000000000625 " "
y[1] (analytic) = -0.46968635642367873 " "
y[1] (numeric) = -0.46968635642367107 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.630990290678876000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3221088436188933 " "
Order of pole (three term test) = 22.1175789063578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.3400000000000625 " "
y[1] (analytic) = -0.4713773327641627 " "
y[1] (numeric) = -0.471377332764155 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.6369157965016734000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3143965120092829 " "
Order of pole (three term test) = 22.111213640624573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.33000000000006247 " "
y[1] (analytic) = -0.47302117176418335 " "
y[1] (numeric) = -0.4730211717641757 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6194917536867910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3065584259867662 " "
Order of pole (three term test) = 22.10500388425136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.32000000000006246 " "
y[1] (analytic) = -0.4746177090412106 " "
y[1] (numeric) = -0.47461770904120293 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.6140440451303142000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2985977206812463 " "
Order of pole (three term test) = 22.09895212105789 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.31000000000006245 " "
y[1] (analytic) = -0.4761667849428472 " "
y[1] (numeric) = -0.4761667849428395 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.620451124509025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2905175802687034 " "
Order of pole (three term test) = 22.093060771668767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.30000000000006244 " "
y[1] (analytic) = -0.4776682445627938 " "
y[1] (numeric) = -0.4776682445627861 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.60373626614539000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28232123669756926 " "
Order of pole (three term test) = 22.087332192545198 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.29000000000006243 " "
y[1] (analytic) = -0.47912193775633966 " "
y[1] (numeric) = -0.479121937756332 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5988704056814435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2740119683959892 " "
Order of pole (three term test) = 22.08176867504244 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2800000000000624 " "
y[1] (analytic) = -0.48052771915537684 " "
y[1] (numeric) = -0.4805277191553692 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5941929184394404000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26559309896049443 " "
Order of pole (three term test) = 22.076372444493323 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2700000000000624 " "
y[1] (analytic) = -0.48188544818293694 " "
y[1] (numeric) = -0.4818854481829293 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5897012243883799000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25706799582661 " "
Order of pole (three term test) = 22.071145659318116 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2600000000000624 " "
y[1] (analytic) = -0.4831949890672486 " "
y[1] (numeric) = -0.48319498906724095 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5853928627656827000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2484400689219225 " "
Order of pole (three term test) = 22.066090410161205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.2500000000000624 " "
y[1] (analytic) = -0.48445621085531465 " "
y[1] (numeric) = -0.48445621085530705 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5698070430876576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23971276930215635 " "
Order of pole (three term test) = 22.061208719054846 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.24000000000006239 " "
y[1] (analytic) = -0.4856689874260074 " "
y[1] (numeric) = -0.48566898742599973 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.577316869770417000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23088958777079677 " "
Order of pole (three term test) = 22.056502538610392 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.23000000000006238 " "
y[1] (analytic) = -0.4868331975026803 " "
y[1] (numeric) = -0.4868331975026727 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.562142384228111800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2219740534828157 " "
Order of pole (three term test) = 22.05197375123727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.22000000000006237 " "
y[1] (analytic) = -0.48794872466529593 " "
y[1] (numeric) = -0.4879487246652883 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5585710822174856000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2129697325330563 " "
Order of pole (three term test) = 22.047624168390044 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.21000000000006236 " "
y[1] (analytic) = -0.48901545736206764 " "
y[1] (numeric) = -0.48901545736206 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5665228480174010000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20388022652984195 " "
Order of pole (three term test) = 22.04345552984387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.20000000000006235 " "
y[1] (analytic) = -0.4900332889206146 " "
y[1] (numeric) = -0.490033288920607 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5519410396452346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19470917115438263 " "
Order of pole (three term test) = 22.039469502998582 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.19000000000006234 " "
y[1] (analytic) = -0.49100211755862927 " "
y[1] (numeric) = -0.49100211755862166 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.548878802498082000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18546023470654927 " "
Order of pole (three term test) = 22.03566768221177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.18000000000006233 " "
y[1] (analytic) = -0.4919218463940551 " "
y[1] (numeric) = -0.4919218463940475 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5459829187155671000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17613711663760345 " "
Order of pole (three term test) = 22.03205158816106 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.17000000000006232 " "
y[1] (analytic) = -0.4927923834547751 " "
y[1] (numeric) = -0.49279238345476745 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5545164915513773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.166743546070466 " "
Order of pole (three term test) = 22.028622667235844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.16000000000006231 " "
y[1] (analytic) = -0.4936136416878085 " "
y[1] (numeric) = -0.49361364168780086 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5519301378543696000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15728328030811822 " "
Order of pole (three term test) = 22.025382290958802 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1500000000000623 " "
y[1] (analytic) = -0.4943855389680165 " "
y[1] (numeric) = -0.49438553896800885 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5495070680878406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1477601033307294 " "
Order of pole (three term test) = 22.022331755437218 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1400000000000623 " "
y[1] (analytic) = -0.49510799810631423 " "
y[1] (numeric) = -0.4951079981063066 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5360341072594225000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13817782428211672 " "
Order of pole (three term test) = 22.01947228084463 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1300000000000623 " "
y[1] (analytic) = -0.49578094685739 " "
y[1] (numeric) = -0.4957809468573824 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.533949169867935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1285402759461377 " "
Order of pole (three term test) = 22.016805010932764 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.12000000000006229 " "
y[1] (analytic) = -0.4964043179269294 " "
y[1] (numeric) = -0.4964043179269218 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5320228781333406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11885131321362781 " "
Order of pole (three term test) = 22.014331012574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1100000000000623 " "
y[1] (analytic) = -0.496978048978345 " "
y[1] (numeric) = -0.4969780489783374 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5302542505280145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10911481154049552 " "
Order of pole (three term test) = 22.01205127533471 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -0.1000000000000623 " "
y[1] (analytic) = -0.49750208263900975 " "
y[1] (numeric) = -0.4975020826390022 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 1.517484414819833800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.93346653975916700E-2 " "
Order of pole (three term test) = 22.009966711079393 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -9.00000000000623100E-2 " "
y[1] (analytic) = -0.4979763665059943 " "
y[1] (numeric) = -0.49797636650598676 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 1.5160391286079614000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.95147867129733600E-2 " "
Order of pole (three term test) = 22.00807815360595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -8.00000000000623100E-2 " "
y[1] (analytic) = -0.4984008531513072 " "
y[1] (numeric) = -0.4984008531512996 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5258857745922733000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.96591033071845100E-2 " "
Order of pole (three term test) = 22.0063863583122 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -7.00000000000623200E-2 " "
y[1] (analytic) = -0.4987755001266376 " "
y[1] (numeric) = -0.49877550012663 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5247396307058841000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.97715573221799200E-2 " "
Order of pole (three term test) = 22.004892001893683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.000000000006231000E-2 " "
y[1] (analytic) = -0.4991002699676002 " "
y[1] (numeric) = -0.4991002699675926 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5237474664511830000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.98561036445215900E-2 " "
Order of pole (three term test) = 22.003595682073072 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5.000000000006232000E-2 " "
y[1] (analytic) = -0.4993751301974816 " "
y[1] (numeric) = -0.4993751301974739 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5340249056624353000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.99167083234760670E-2 " "
Order of pole (three term test) = 22.002497917360994 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -4.00000000000623130E-2 " "
y[1] (analytic) = -0.49960005333048774 " "
y[1] (numeric) = -0.4996000533304801 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5333342778580725000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.9957346984648500E-2 " "
Order of pole (three term test) = 22.001599146848697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -3.00000000000623100E-2 " "
y[1] (analytic) = -0.49977501687449283 " "
y[1] (numeric) = -0.49977501687448517 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5327974811188590000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.998200323978450500E-2 " "
Order of pole (three term test) = 22.00089973003241 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -2.000000000006230700E-2 " "
y[1] (analytic) = -0.49990000333328827 " "
y[1] (numeric) = -0.4999000033332806 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5324142466160826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.999466709337933000E-2 " "
Order of pole (three term test) = 22.000399946669514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -1.000000000006230800E-2 " "
y[1] (analytic) = -0.49997500020833235 " "
y[1] (numeric) = -0.4999750002083247 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5321843825634370000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.999333346728836000E-3 " "
Order of pole (three term test) = 22.000099996666712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = -6.23077978101349600000000000000E-14 " "
y[1] (analytic) = -0.5 " "
y[1] (numeric) = -0.49999999999999234 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.532107773982716000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.23077978101349700000000000000E-14 " "
Order of pole (three term test) = 22. " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.999999999937692000E-3 " "
y[1] (analytic) = -0.49997500020833296 " "
y[1] (numeric) = -0.4999750002083253 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5321843825634351000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.999333346604247000E-3 " "
Order of pole (three term test) = 22.00009999666671 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.999999999993769300E-2 " "
y[1] (analytic) = -0.4999000033332895 " "
y[1] (numeric) = -0.4999000033332819 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5213097955536434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.999466709325484200E-2 " "
Order of pole (three term test) = 22.000399946669514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999993769300E-2 " "
y[1] (analytic) = -0.4997750168744947 " "
y[1] (numeric) = -0.49977501687448705 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5327974811188533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.998200323966010000E-2 " "
Order of pole (three term test) = 22.000899730032398 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.999999999993769700E-2 " "
y[1] (analytic) = -0.49960005333049023 " "
y[1] (numeric) = -0.4996000533304826 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.533334277858065000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.99573469845242340E-2 " "
Order of pole (three term test) = 22.001599146848683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9999999999937700E-2 " "
y[1] (analytic) = -0.4993751301974847 " "
y[1] (numeric) = -0.49937513019747704 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5340249056624256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.991670832335206600E-2 " "
Order of pole (three term test) = 22.002497917360976 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.9999999999937700E-2 " "
y[1] (analytic) = -0.4991002699676039 " "
y[1] (numeric) = -0.4991002699675963 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5237474664511713000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.985610364439778000E-2 " "
Order of pole (three term test) = 22.003595682073055 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.9999999999937690E-2 " "
y[1] (analytic) = -0.49877550012664196 " "
y[1] (numeric) = -0.49877550012663435 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.524739630705871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.97715573220565500E-2 " "
Order of pole (three term test) = 22.00489200189368 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.99999999999376900E-2 " "
y[1] (analytic) = -0.49840085315131216 " "
y[1] (numeric) = -0.49840085315130456 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5258857745922583000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.96591033070615100E-2 " "
Order of pole (three term test) = 22.006386358312174 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.99999999999376900E-2 " "
y[1] (analytic) = -0.4979763665059999 " "
y[1] (numeric) = -0.4979763665059923 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 1.5271864751418265000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.95147867128508500E-2 " "
Order of pole (three term test) = 22.00807815360593 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.99999999999376800E-2 " "
y[1] (analytic) = -0.497502082639016 " "
y[1] (numeric) = -0.49750208263900836 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.539800362096577000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.93346653974695500E-2 " "
Order of pole (three term test) = 22.00996671107936 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10999999999993768 " "
y[1] (analytic) = -0.49697804897835185 " "
y[1] (numeric) = -0.4969780489783442 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5414239895829424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10911481154037381 " "
Order of pole (three term test) = 22.012051275334688 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11999999999993767 " "
y[1] (analytic) = -0.49640431792693684 " "
y[1] (numeric) = -0.4964043179269292 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5432055268788160000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11885131321350671 " "
Order of pole (three term test) = 22.01433101257397 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12999999999993767 " "
y[1] (analytic) = -0.49578094685739804 " "
y[1] (numeric) = -0.4957809468573904 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5451458791370193000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12854027594601727 " "
Order of pole (three term test) = 22.016805010932725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13999999999993767 " "
y[1] (analytic) = -0.49510799810632294 " "
y[1] (numeric) = -0.4951079981063153 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.54724603504961000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13817782428199704 " "
Order of pole (three term test) = 22.019472280844596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.14999999999993768 " "
y[1] (analytic) = -0.4943855389680258 " "
y[1] (numeric) = -0.4943855389680181 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5495070680878112000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14776010333061032 " "
Order of pole (three term test) = 22.02233175543718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1599999999999377 " "
y[1] (analytic) = -0.49361364168781846 " "
y[1] (numeric) = -0.49361364168781074 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.5631760084185000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15728328030799973 " "
Order of pole (three term test) = 22.025382290958763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1699999999999377 " "
y[1] (analytic) = -0.4927923834547856 " "
y[1] (numeric) = -0.49279238345477794 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5545164915513440000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1667435460703486 " "
Order of pole (three term test) = 22.0286226672358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.1799999999999377 " "
y[1] (analytic) = -0.4919218463940663 " "
y[1] (numeric) = -0.4919218463940586 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5572674655674704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17613711663748674 " "
Order of pole (three term test) = 22.03205158816101 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18999999999993772 " "
y[1] (analytic) = -0.49100211755864104 " "
y[1] (numeric) = -0.4910021175586334 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5601844871878115000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18546023470643358 " "
Order of pole (three term test) = 22.035667682211717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19999999999993773 " "
y[1] (analytic) = -0.490033288920627 " "
y[1] (numeric) = -0.4900332889206193 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 1.5632690764309268000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19470917115426783 " "
Order of pole (three term test) = 22.039469502998532 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20999999999993774 " "
y[1] (analytic) = -0.48901545736208063 " "
y[1] (numeric) = -0.4890154573620729 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.5778744628580650000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2038802265297283 " "
Order of pole (three term test) = 22.04345552984382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21999999999993775 " "
y[1] (analytic) = -0.48794872466530953 " "
y[1] (numeric) = -0.4879487246653018 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.5813239447315655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21296973253294355 " "
Order of pole (three term test) = 22.04762416838999 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22999999999993775 " "
y[1] (analytic) = -0.4868331975026945 " "
y[1] (numeric) = -0.4868331975026868 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.5849473825379650000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2219740534827042 " "
Order of pole (three term test) = 22.05197375123721 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23999999999993776 " "
y[1] (analytic) = -0.4856689874260222 " "
y[1] (numeric) = -0.48566898742601444 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6001765345496496000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23088958777068608 " "
Order of pole (three term test) = 22.056502538610328 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24999999999993777 " "
y[1] (analytic) = -0.4844562108553301 " "
y[1] (numeric) = -0.4844562108553223 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6041823797975552000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23971276930204696 " "
Order of pole (three term test) = 22.061208719054786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2599999999999378 " "
y[1] (analytic) = -0.4831949890672646 " "
y[1] (numeric) = -0.48319498906725683 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.608369570921654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2484400689218144 " "
Order of pole (three term test) = 22.06609041016114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2699999999999378 " "
y[1] (analytic) = -0.48188544818295354 " "
y[1] (numeric) = -0.48188544818294576 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.612740372567866000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2570679958265033 " "
Order of pole (three term test) = 22.071145659318056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2799999999999378 " "
y[1] (analytic) = -0.48052771915539405 " "
y[1] (numeric) = -0.4805277191553863 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.617297163634157000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2655930989603891 " "
Order of pole (three term test) = 22.076372444493256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2899999999999378 " "
y[1] (analytic) = -0.4791219377563575 " "
y[1] (numeric) = -0.4791219377563497 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6220424405463316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27401196839588493 " "
Order of pole (three term test) = 22.081768675042373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2999999999999378 " "
y[1] (analytic) = -0.4776682445628122 " "
y[1] (numeric) = -0.47766824456280443 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6269788207271446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28232123669746634 " "
Order of pole (three term test) = 22.08733219254512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3099999999999378 " "
y[1] (analytic) = -0.4761667849428662 " "
y[1] (numeric) = -0.4761667849428584 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6321090462680174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2905175802686022 " "
Order of pole (three term test) = 22.0930607716687 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.31999999999993783 " "
y[1] (analytic) = -0.4746177090412302 " "
y[1] (numeric) = -0.47461770904122247 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.625740016471771000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29859772068114626 " "
Order of pole (three term test) = 22.098952121057817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.32999999999993784 " "
y[1] (analytic) = -0.47302117176420355 " "
y[1] (numeric) = -0.47302117176419584 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.6312272011772053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30655842598666766 " "
Order of pole (three term test) = 22.10500388425128 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.33999999999993785 " "
y[1] (analytic) = -0.4713773327641835 " "
y[1] (numeric) = -0.47137733276417576 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.6369157965016015000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3143965120091859 " "
Order of pole (three term test) = 22.1112136406245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34999999999993786 " "
y[1] (analytic) = -0.4696863564237001 " "
y[1] (numeric) = -0.4696863564236924 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.642809060901112000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32210884361879816 " "
Order of pole (three term test) = 22.117578906357714 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35999999999993787 " "
y[1] (analytic) = -0.4679484118389784 " "
y[1] (numeric) = -0.4679484118389706 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6607730629611153000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32969233598568987 " "
Order of pole (three term test) = 22.12409713542951 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3699999999999379 " "
y[1] (analytic) = -0.46616367280302845 " "
y[1] (numeric) = -0.4661636728030207 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.667131444551637000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33714395581402656 " "
Order of pole (three term test) = 22.130765720635168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3799999999999379 " "
y[1] (analytic) = -0.46433231778826667 " "
y[1] (numeric) = -0.4643323177882589 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6737067127685673000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3444607225552307 " "
Order of pole (three term test) = 22.137581994629503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3899999999999379 " "
y[1] (analytic) = -0.4624545299286683 " "
y[1] (numeric) = -0.4624545299286606 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.6684991759806110000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35163970960016105 " "
Order of pole (three term test) = 22.14454323099382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3999999999999379 " "
y[1] (analytic) = -0.46053049700145465 " "
y[1] (numeric) = -0.4605304970014469 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6875236760599482000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3586780454497181 " "
Order of pole (three term test) = 22.15164664532637 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4099999999999379 " "
y[1] (analytic) = -0.45856041140831494 " "
y[1] (numeric) = -0.45856041140830717 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.6947736828193138000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36557291486340565 " "
Order of pole (three term test) = 22.158889396356148 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4199999999999379 " "
y[1] (analytic) = -0.4565444701561668 " "
y[1] (numeric) = -0.456544470156159 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.7022572126911830000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37232155998538813 " "
Order of pole (three term test) = 22.166268587079305 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.42999999999993793 " "
y[1] (analytic) = -0.4544828748374555 " "
y[1] (numeric) = -0.4544828748374477 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.709978879876512800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3789212814475979 " "
Order of pole (three term test) = 22.173781265917924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.43999999999993794 " "
y[1] (analytic) = -0.45237583160999495 " "
y[1] (numeric) = -0.4523758316099871 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.7302145200266306000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38536943944944524 " "
Order of pole (three term test) = 22.18142442790066 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.44999999999993795 " "
y[1] (analytic) = -0.45022355117635193 " "
y[1] (numeric) = -0.45022355117634416 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.7261560733707568000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3916634548137032 " "
Order of pole (three term test) = 22.189195015864616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45999999999993796 " "
y[1] (analytic) = -0.4480262487627764 " "
y[1] (numeric) = -0.4480262487627686 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.7470119987884190000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3978008100181452 " "
Order of pole (three term test) = 22.197089921678216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46999999999993797 " "
y[1] (analytic) = -0.4457841440976785 " "
y[1] (numeric) = -0.4457841440976707 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.7557987261862584000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4037790502025207 " "
Order of pole (three term test) = 22.2051059874844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.479999999999938 " "
y[1] (analytic) = -0.4434974613896564 " "
y[1] (numeric) = -0.44349746138964863 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.7523349847425645000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4095957841504637 " "
Order of pole (three term test) = 22.213240006963726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.489999999999938 " "
y[1] (analytic) = -0.4411664293050753 " "
y[1] (numeric) = -0.44116642930506755 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.7615939600431174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4152486852459509 " "
Order of pole (three term test) = 22.22148872661684 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.499999999999938 " "
y[1] (analytic) = -0.4387912809452012 " "
y[1] (numeric) = -0.43879128094519343 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.771129352350703000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4207354924039148 " "
Order of pole (three term test) = 22.22984884706588 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.509999999999938 " "
y[1] (analytic) = -0.4363722538228908 " "
y[1] (numeric) = -0.43637225382288297 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.7936686521742298000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42605401097464884 " "
Order of pole (three term test) = 22.23831702437412 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.519999999999938 " "
y[1] (analytic) = -0.43390958983884037 " "
y[1] (numeric) = -0.43390958983883254 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.8038486603890064000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43120211362163763 " "
Order of pole (three term test) = 22.246889871383555 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.529999999999938 " "
y[1] (analytic) = -0.43140353525739616 " "
y[1] (numeric) = -0.4314035352573884 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.8014597788910577000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43617774117246305 " "
Order of pole (three term test) = 22.255563959069686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.539999999999938 " "
y[1] (analytic) = -0.428854340681928 " "
y[1] (numeric) = -0.42885434068192024 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.8121680102429220000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44097890344244467 " "
Order of pole (three term test) = 22.264335817913075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.549999999999938 " "
y[1] (analytic) = -0.42626226102976905 " "
y[1] (numeric) = -0.42626226102976134 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 1.810164944582314000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44560368003068956 " "
Order of pole (three term test) = 22.27320193928715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.559999999999938 " "
y[1] (analytic) = -0.42362755550672454 " "
y[1] (numeric) = -0.42362755550671677 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.8345268317307872000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45005022108822534 " "
Order of pole (three term test) = 22.282158776861586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.569999999999938 " "
y[1] (analytic) = -0.4209504875811511 " "
y[1] (numeric) = -0.42095048758114334 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.846193650239659000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4543167480579156 " "
Order of pole (three term test) = 22.291202748020766 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.579999999999938 " "
y[1] (analytic) = -0.41823132495761045 " "
y[1] (numeric) = -0.4182313249576027 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.8581968180321680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4584015543858587 " "
Order of pole (three term test) = 22.30033023529681 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.589999999999938 " "
y[1] (analytic) = -0.415470339550099 " "
y[1] (numeric) = -0.4154703395500912 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.870545363308413000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46230300620398673 " "
Order of pole (three term test) = 22.309537587816504 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.599999999999938 " "
y[1] (analytic) = -0.41266780745485665 " "
y[1] (numeric) = -0.4126678074548489 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.8832487128830025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4660195429835906 " "
Order of pole (three term test) = 22.31882112276161 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.609999999999938 " "
y[1] (analytic) = -0.4098240089227575 " "
y[1] (numeric) = -0.4098240089227497 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.896316712338066000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4695496781595124 " "
Order of pole (three term test) = 22.32817712684192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.619999999999938 " "
y[1] (analytic) = -0.406939228331285 " "
y[1] (numeric) = -0.40693922833127716 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.9234007878039752000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47289199972474943 " "
Order of pole (three term test) = 22.33760185778055 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.629999999999938 " "
y[1] (analytic) = -0.4040137541560942 " "
y[1] (numeric) = -0.40401375415608637 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.937328183283408000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47604517079523884 " "
Order of pole (three term test) = 22.34709154581079 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6399999999999381 " "
y[1] (analytic) = -0.4010478789421648 " "
y[1] (numeric) = -0.401047878942157 " "
absolute error = 7.827072323607354000000000000000E-15 " "
relative error = 1.951655334583155000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47900793014459475 " "
Order of pole (three term test) = 22.35664239518396 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6499999999999381 " "
y[1] (analytic) = -0.39804189927454664 " "
y[1] (numeric) = -0.39804189927453887 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.9524480177941558000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4817790927085799 " "
Order of pole (three term test) = 22.366250585687645 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6599999999999381 " "
y[1] (analytic) = -0.3949961157487015 " "
y[1] (numeric) = -0.39499611574869375 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.9675031886441136000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48435755005911724 " "
Order of pole (three term test) = 22.37591227417375 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6699999999999381 " "
y[1] (analytic) = -0.3919108329404439 " "
y[1] (numeric) = -0.3919108329404361 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.9829921806619438000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4867422708476455 " "
Order of pole (three term test) = 22.385623596095705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6799999999999381 " "
y[1] (analytic) = -0.38878635937548345 " "
y[1] (numeric) = -0.3887863593754757 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 1.998928456456069000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4889323012176451 " "
Order of pole (three term test) = 22.395380667054226 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6899999999999381 " "
y[1] (analytic) = -0.385623007498573 " "
y[1] (numeric) = -0.38562300749856526 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 2.0009309276426904000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4909267651861682 " "
Order of pole (three term test) = 22.405179584351025 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6999999999999381 " "
y[1] (analytic) = -0.3824210936422641 " "
y[1] (numeric) = -0.3824210936422564 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 2.0176842097425773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4927248649942196 " "
Order of pole (three term test) = 22.415016428549816 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7099999999999381 " "
y[1] (analytic) = -0.37918093799527425 " "
y[1] (numeric) = -0.37918093799526653 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 2.0349256114876227000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49432588142585066 " "
Order of pole (three term test) = 22.4248872650441 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7199999999999381 " "
y[1] (analytic) = -0.3759028645704679 " "
y[1] (numeric) = -0.3759028645704602 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 2.0526712479197837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4957291740958352 " "
Order of pole (three term test) = 22.434788145630865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7299999999999381 " "
y[1] (analytic) = -0.3725872011724558 " "
y[1] (numeric) = -0.37258720117244815 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.0560391891636182000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49693418170581555 " "
Order of pole (three term test) = 22.4447151100899 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7399999999999382 " "
y[1] (analytic) = -0.3692342793648148 " "
y[1] (numeric) = -0.3692342793648071 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.074709553807363000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49794042226881446 " "
Order of pole (three term test) = 22.454664187767783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7499999999999382 " "
y[1] (analytic) = -0.36584443443693154 " "
y[1] (numeric) = -0.3658444344369238 " "
absolute error = 7.716050021144838000000000000000E-15 " "
relative error = 2.109106848385039200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4987474933020229 " "
Order of pole (three term test) = 22.46463139916609 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7599999999999382 " "
y[1] (analytic) = -0.36241800537047386 " "
y[1] (numeric) = -0.3624180053704662 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.1137302110811965000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4993550719877884 " "
Order of pole (three term test) = 22.47461275753315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7699999999999382 " "
y[1] (analytic) = -0.3589553348054932 " "
y[1] (numeric) = -0.3589553348054855 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.1341203562456004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49976291530273764 " "
Order of pole (three term test) = 22.484604270458703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7799999999999382 " "
y[1] (analytic) = -0.3554567690061604 " "
y[1] (numeric) = -0.35545676900615275 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.1551253310865534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997086011498254 " "
Order of pole (three term test) = 22.494601941470805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7899999999999382 " "
y[1] (analytic) = -0.35192265782614 " "
y[1] (numeric) = -0.35192265782613236 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.1767677356250556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49997882324937065 " "
Order of pole (three term test) = 22.504601771634345 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7999999999999382 " "
y[1] (analytic) = -0.3483533546736049 " "
y[1] (numeric) = -0.34835335467359724 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.199071364503219000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997868015207544 " "
Order of pole (three term test) = 22.51459976115058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8099999999999382 " "
y[1] (analytic) = -0.3447492164758959 " "
y[1] (numeric) = -0.34474921647588824 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.2220612850759555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499394871735265 " "
Order of pole (three term test) = 22.52459191095702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8199999999999382 " "
y[1] (analytic) = -0.34111060364382934 " "
y[1] (numeric) = -0.34111060364382173 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.229490270148011300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49880319065959117 " "
Order of pole (three term test) = 22.53457422432697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8299999999999382 " "
y[1] (analytic) = -0.33743788003565633 " "
y[1] (numeric) = -0.33743788003564873 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.253756370766292000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4980119949582739 " "
Order of pole (three term test) = 22.54454270846817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8399999999999382 " "
y[1] (analytic) = -0.33373141292067704 " "
y[1] (numeric) = -0.33373141292066943 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.278786899958358000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4970216010990446 " "
Order of pole (three term test) = 22.55449337611987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8499999999999382 " "
y[1] (analytic) = -0.3299915729425143 " "
y[1] (numeric) = -0.32999157294250664 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.321434696530288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4958324052262422 " "
Order of pole (three term test) = 22.5644222471477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8599999999999383 " "
y[1] (analytic) = -0.3262187340820493 " "
y[1] (numeric) = -0.32621873408204166 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.348282937051319000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4944448830023599 " "
Order of pole (three term test) = 22.57432535013562 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8699999999999383 " "
y[1] (analytic) = -0.3224132736200242 " "
y[1] (numeric) = -0.32241327362001654 " "
absolute error = 7.66053886991358000000000000000E-15 " "
relative error = 2.375999841415278000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4928595894177871 " "
Order of pole (three term test) = 22.584198723974474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8799999999999383 " "
y[1] (analytic) = -0.31857557209931386 " "
y[1] (numeric) = -0.31857557209930626 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.387197382576309000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4910771585688209 " "
Order of pole (three term test) = 22.59403841944638 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8899999999999383 " "
y[1] (analytic) = -0.3147060132868724 " "
y[1] (numeric) = -0.3147060132868648 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.416549858470580800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4890983034040352 " "
Order of pole (three term test) = 22.603840500804335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8999999999999383 " "
y[1] (analytic) = -0.3108049841353564 " "
y[1] (numeric) = -0.3108049841353488 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.446880876070608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4869238154391116 " "
Order of pole (three term test) = 22.61360104734648 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9099999999999383 " "
y[1] (analytic) = -0.30687287474443015 " "
y[1] (numeric) = -0.30687287474442254 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.4782339348226662000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4845545644402435 " "
Order of pole (three term test) = 22.62331615498436 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9199999999999383 " "
y[1] (analytic) = -0.302910078321756 " "
y[1] (numeric) = -0.3029100783217484 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.5106552283823774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4819914980762405 " "
Order of pole (three term test) = 22.63298193780443 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9299999999999383 " "
y[1] (analytic) = -0.2989169911436738 " "
y[1] (numeric) = -0.29891699114366627 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.5256230964209075000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4792356415394747 " "
Order of pole (three term test) = 22.64259452962245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9399999999999383 " "
y[1] (analytic) = -0.294894012515574 " "
y[1] (numeric) = -0.29489401251556646 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.5600779422581044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47628809713581644 " "
Order of pole (three term test) = 22.652150085529858 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9499999999999383 " "
y[1] (analytic) = -0.29084154473196683 " "
y[1] (numeric) = -0.2908415447319593 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.5957490269859945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47315004384372716 " "
Order of pole (three term test) = 22.661644783431694 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9599999999999383 " "
y[1] (analytic) = -0.2867599930362536 " "
y[1] (numeric) = -0.28675999303624605 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.6326951983488917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46982273684268383 " "
Order of pole (three term test) = 22.671074825575392 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9699999999999384 " "
y[1] (analytic) = -0.2826497655802026 " "
y[1] (numeric) = -0.28264976558019506 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.670979242439481000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4663075070111225 " "
Order of pole (three term test) = 22.680436440069823 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9799999999999384 " "
y[1] (analytic) = -0.27851127338313425 " "
y[1] (numeric) = -0.2785112733831267 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.7106682166741475000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4626057603941076 " "
Order of pole (three term test) = 22.689725882394022 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9899999999999384 " "
y[1] (analytic) = -0.2743449302908195 " "
y[1] (numeric) = -0.27434493029081203 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 2.731599744991015700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4587189776409296 " "
Order of pole (three term test) = 22.698939436894904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9999999999999384 " "
y[1] (analytic) = -0.2701511529340958 " "
y[1] (numeric) = -0.27015115293408826 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.7945527847859275000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4546487134128666 " "
Order of pole (three term test) = 22.70807341827351 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0099999999999383 " "
y[1] (analytic) = -0.2659303606872039 " "
y[1] (numeric) = -0.2659303606871963 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.8597816733034137000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45039659576134045 " "
Order of pole (three term test) = 22.717124173059094 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0199999999999383 " "
y[1] (analytic) = -0.2616829756258511 " "
y[1] (numeric) = -0.2616829756258435 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.9061988845448755000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4459643254767178 " "
Order of pole (three term test) = 22.7260880810704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0299999999999383 " "
y[1] (analytic) = -0.25740942248500415 " "
y[1] (numeric) = -0.25740942248499654 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 2.9544480715834587000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44135367540801584 " "
Order of pole (three term test) = 22.734961556863748 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0399999999999383 " "
y[1] (analytic) = -0.2531101286164158 " "
y[1] (numeric) = -0.25311012861640825 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.9827003007423030000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43656648975378837 " "
Order of pole (three term test) = 22.743741051167127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0499999999999383 " "
y[1] (analytic) = -0.24878552394589024 " "
y[1] (numeric) = -0.2487855239458827 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.0345481713369504000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43160468332446783 " "
Order of pole (three term test) = 22.75242305229987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0599999999999383 " "
y[1] (analytic) = -0.24443604093029067 " "
y[1] (numeric) = -0.24443604093028312 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.088544773806113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4264702407764703 " "
Order of pole (three term test) = 22.761004087577298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0699999999999383 " "
y[1] (analytic) = -0.2400621145142941 " "
y[1] (numeric) = -0.24006211451428655 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.144817991262649000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42116521581835614 " "
Order of pole (three term test) = 22.7694807246997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0799999999999383 " "
y[1] (analytic) = -0.2356641820868972 " "
y[1] (numeric) = -0.23566418208688963 " "
absolute error = 7.577272143066693000000000000000E-15 " "
relative error = 3.215283746544352300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4156917303893758 " "
Order of pole (three term test) = 22.77784957312525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0899999999999384 " "
y[1] (analytic) = -0.23124268343767776 " "
y[1] (numeric) = -0.2312426834376702 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.2647591072803545000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41005197381072245 " "
Order of pole (three term test) = 22.786107285426173 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0999999999999384 " "
y[1] (analytic) = -0.22679806071281616 " "
y[1] (numeric) = -0.2267980607128086 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.3287394714590024000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4042482019098314 " "
Order of pole (three term test) = 22.794250558627624 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1099999999999384 " "
y[1] (analytic) = -0.22233075837088104 " "
y[1] (numeric) = -0.2223307583708735 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.395623989577429000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3982827361180806 " "
Order of pole (three term test) = 22.802276135528913 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1199999999999384 " "
y[1] (analytic) = -0.2178412231383838 " "
y[1] (numeric) = -0.21784122313837628 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.4528639177981624000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39215796254224844 " "
Order of pole (three term test) = 22.810180806006297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1299999999999384 " "
y[1] (analytic) = -0.2133299039651065 " "
y[1] (numeric) = -0.213329903965099 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.5258821440550310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38587633101010216 " "
Order of pole (three term test) = 22.81796140829695 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1399999999999384 " "
y[1] (analytic) = -0.20879725197920704 " "
y[1] (numeric) = -0.20879725197919952 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.602423365506977600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3794403540905011 " "
Order of pole (three term test) = 22.82561483026372 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1499999999999384 " "
y[1] (analytic) = -0.20424372044210676 " "
y[1] (numeric) = -0.20424372044209924 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.682737944429234600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37285260608840126 " "
Order of pole (three term test) = 22.833138010639864 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1599999999999384 " "
y[1] (analytic) = -0.1996697647031648 " "
y[1] (numeric) = -0.19966976470315728 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.767100643914474000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3661157220151676 " "
Order of pole (three term test) = 22.840527940253534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1699999999999384 " "
y[1] (analytic) = -0.19507584215414345 " "
y[1] (numeric) = -0.19507584215413593 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.855813671634416000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3592323965346059 " "
Order of pole (three term test) = 22.847781663231412 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1799999999999384 " "
y[1] (analytic) = -0.19046241218346935 " "
y[1] (numeric) = -0.19046241218346183 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.94921019092725000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3522053828851318 " "
Order of pole (three term test) = 22.85489627818102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1899999999999384 " "
y[1] (analytic) = -0.18582993613029505 " "
y[1] (numeric) = -0.18582993613028753 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 4.0476583851169906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3450374917785127 " "
Order of pole (three term test) = 22.86186893935124 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1999999999999384 " "
y[1] (analytic) = -0.18117887723836548 " "
y[1] (numeric) = -0.18117887723835796 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 4.151566179505316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33773159027562094 " "
Order of pole (three term test) = 22.86869685777058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2099999999999385 " "
y[1] (analytic) = -0.17650970060969395 " "
y[1] (numeric) = -0.17650970060968646 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.245662074285017600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33029060063964666 " "
Order of pole (three term test) = 22.875377302362704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2199999999999385 " "
y[1] (analytic) = -0.1718228731580524 " "
y[1] (numeric) = -0.1718228731580449 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.361471367858223000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32271749916723225 " "
Order of pole (three term test) = 22.881907601038847 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2299999999999385 " "
y[1] (analytic) = -0.16711886356228028 " "
y[1] (numeric) = -0.1671188635622728 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.484236702236197300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3150153149979941 " "
Order of pole (three term test) = 22.888285141766612 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2399999999999385 " "
y[1] (analytic) = -0.1623981422194172 " "
y[1] (numeric) = -0.1623981422194097 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.614588143560537400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30718712890290434 " "
Order of pole (three term test) = 22.894507373614726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2499999999999385 " "
y[1] (analytic) = -0.1576611811976635 " "
y[1] (numeric) = -0.15766118119765601 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.753234346775822000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29923607205202757 " "
Order of pole (three term test) = 22.90057180777343 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2599999999999385 " "
y[1] (analytic) = -0.15290845418917393 " "
y[1] (numeric) = -0.15290845418916643 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 4.900975198499123400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29116532476209084 " "
Order of pole (three term test) = 22.90647601854991 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2699999999999385 " "
y[1] (analytic) = -0.14814043646268873 " "
y[1] (numeric) = -0.1481404364626812 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 5.077452970600568000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2829781152244021 " "
Order of pole (three term test) = 22.91221764433858 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2799999999999385 " "
y[1] (analytic) = -0.1433576048160072 " "
y[1] (numeric) = -0.14335760481599968 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 5.246851746364809000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2746777182136147 " "
Order of pole (three term test) = 22.91779438856567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2899999999999385 " "
y[1] (analytic) = -0.13856043752830835 " "
y[1] (numeric) = -0.13856043752830083 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 5.428505514280522000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2662674537778626 " "
Order of pole (three term test) = 22.923204020607855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2999999999999385 " "
y[1] (analytic) = -0.13374941431232332 " "
y[1] (numeric) = -0.1337494143123158 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 5.623771162295401000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2577506859107848 " "
Order of pole (three term test) = 22.92844437668444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3099999999999385 " "
y[1] (analytic) = -0.12892501626636452 " "
y[1] (numeric) = -0.128925016266357 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 5.834213723343777000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24913082120597244 " "
Order of pole (three term test) = 22.93351336072287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3199999999999386 " "
y[1] (analytic) = -0.12408772582621624 " "
y[1] (numeric) = -0.12408772582620872 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 6.061647871901202000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24041130749437808 " "
Order of pole (three term test) = 22.938408945197107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3299999999999386 " "
y[1] (analytic) = -0.11923802671689143 " "
y[1] (numeric) = -0.11923802671688392 " "
absolute error = 7.507883204027621000000000000000E-15 " "
relative error = 6.2965510338859410000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23159563246522719 " "
Order of pole (three term test) = 22.94312917193865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3399999999999386 " "
y[1] (analytic) = -0.11437640390425963 " "
y[1] (numeric) = -0.11437640390425212 " "
absolute error = 7.507883204027621000000000000000E-15 " "
relative error = 6.564188895388073000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22268732227099047 " "
Order of pole (three term test) = 22.94767215291972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3499999999999386 " "
y[1] (analytic) = -0.10950334354655075 " "
y[1] (numeric) = -0.10950334354654324 " "
absolute error = 7.507883204027621000000000000000E-15 " "
relative error = 6.8563049865559210000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21368994011697054 " "
Order of pole (three term test) = 22.952036071008504 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3599999999999386 " "
y[1] (analytic) = -0.1046193329457397 " "
y[1] (numeric) = -0.1046193329457322 " "
absolute error = 7.507883204027621000000000000000E-15 " "
relative error = 7.17638221601121000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20460708483606485 " "
Order of pole (three term test) = 22.956219180695957 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3699999999999386 " "
y[1] (analytic) = -9.97248604988165700E-2 " "
y[1] (numeric) = -9.97248604988090600E-2 " "
absolute error = 7.507883204027621000000000000000E-15 " "
relative error = 7.528597349220374000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19544238944928283 " "
Order of pole (three term test) = 22.960219808793966 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3799999999999386 " "
y[1] (analytic) = -9.48204156489473200E-2 " "
y[1] (numeric) = -9.48204156489398300E-2 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 7.903366975277549000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1861995197125848 " "
Order of pole (three term test) = 22.964036355104646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3899999999999386 " "
y[1] (analytic) = -8.99064888365299400E-2 " "
y[1] (numeric) = -8.99064888365224400E-2 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 8.33533320364182000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17688217265062892 " "
Order of pole (three term test) = 22.967667293060348 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.3999999999999386 " "
y[1] (analytic) = -8.49835714501507200E-2 " "
y[1] (numeric) = -8.49835714501432200E-2 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 8.818181312391191000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16749407507801028 " "
Order of pole (three term test) = 22.971111170334307 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4099999999999386 " "
y[1] (analytic) = -8.00521557774458900E-2 " "
y[1] (numeric) = -8.0052155777438400E-2 " "
absolute error = 7.480127628411992000000000000000E-15 " "
relative error = 9.344067696574717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1580389821085851 " "
Order of pole (three term test) = 22.97436660942154 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4199999999999386 " "
y[1] (analytic) = -7.51127349558732200E-2 " "
y[1] (numeric) = -7.51127349558657500E-2 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 9.940058559963775000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14852067565347457 " "
Order of pole (three term test) = 22.97743230818979 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4299999999999387 " "
y[1] (analytic) = -7.0165802923398700E-2 " "
y[1] (numeric) = -7.01658029233912400E-2 " "
absolute error = 7.466249840604178000000000000000E-15 " "
relative error = 1.064086710267567200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13894296290835234 " "
Order of pole (three term test) = 22.98030704040046 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4399999999999387 " "
y[1] (analytic) = -6.52118543691031500E-2 " "
y[1] (numeric) = -6.5211854369095700E-2 " "
absolute error = 7.452372052796363000000000000000E-15 " "
relative error = 1.142794070939230500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12930967483061453 " "
Order of pole (three term test) = 22.982989656198974 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4499999999999387 " "
y[1] (analytic) = -6.02513846837137300E-2 " "
y[1] (numeric) = -6.02513846837062800E-2 " "
absolute error = 7.452372052796363000000000000000E-15 " "
relative error = 1.23687979818508290000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1196246646070508 " "
Order of pole (three term test) = 22.985479082574788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4599999999999387 " "
y[1] (analytic) = -5.52848899100652500E-2 " "
y[1] (numeric) = -5.528488991005780000E-2 " "
absolute error = 7.445433158892456000000000000000E-15 " "
relative error = 1.346739257508574600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10989180611261826 " "
Order of pole (three term test) = 22.98777432379053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4699999999999387 " "
y[1] (analytic) = -5.03128666934963500E-2 " "
y[1] (numeric) = -5.03128666934889100E-2 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 1.478447712054157300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10011499236094533 " "
Order of pole (three term test) = 22.989874461780335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4799999999999387 " "
y[1] (analytic) = -4.53358122321853500E-2 " "
y[1] (numeric) = -4.53358122321779200E-2 " "
absolute error = 7.431555371084642000000000000000E-15 " "
relative error = 1.63922404941688500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.02981339471767300E-2 " "
Order of pole (three term test) = 22.991778656516995 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4899999999999387 " "
y[1] (analytic) = -4.03542242274308500E-2 " "
y[1] (numeric) = -4.03542242274234200E-2 " "
absolute error = 7.431555371084642000000000000000E-15 " "
relative error = 1.84158053174344720000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.04451574837883900E-2 " "
Order of pole (three term test) = 22.99348614634801 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.4999999999999387 " "
y[1] (analytic) = -3.53686008338820200E-2 " "
y[1] (numeric) = -3.536860083387459700E-2 " "
absolute error = 7.424616477180734000000000000000E-15 " "
relative error = 2.09921125012900800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.05600040299942500E-2 " "
Order of pole (three term test) = 22.994996248300218 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5099999999999387 " "
y[1] (analytic) = -3.037944060972353500E-2 " "
y[1] (numeric) = -3.03794406097161130E-2 " "
absolute error = 7.42114703022878100000000000000E-15 " "
relative error = 2.442818854226531700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.064662751537570000E-2 " "
Order of pole (three term test) = 22.996308358352962 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5199999999999387 " "
y[1] (analytic) = -2.53872424668201900E-2 " "
y[1] (numeric) = -2.538724246681277600E-2 " "
absolute error = 7.417677583276827000000000000000E-15 " "
relative error = 2.921813029899308000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.0708993158361900E-2 " "
Order of pole (three term test) = 22.99742195167972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5299999999999387 " "
y[1] (analytic) = -2.039250562082613200E-2 " "
y[1] (numeric) = -2.039250562081871800E-2 " "
absolute error = 7.414208136324874000000000000000E-15 " "
relative error = 3.63575142465720800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.07510758801956200E-2 " "
Order of pole (three term test) = 22.998336582858016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5399999999999388 " "
y[1] (analytic) = -1.539572954126369000E-2 " "
y[1] (numeric) = -1.539572954125627800E-2 " "
absolute error = 7.41073868937292000000000000000E-15 " "
relative error = 4.8135027765398400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.077685871501774000E-2 " "
Order of pole (three term test) = 22.999051886047567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5499999999999388 " "
y[1] (analytic) = -1.03974139015768500E-2 " "
y[1] (numeric) = -1.039741390156944400E-2 " "
absolute error = 7.407269242420966000000000000000E-15 " "
relative error = 7.12414578522991600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.0790331216706498E-2 " "
Order of pole (three term test) = 22.999567575136638 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5599999999999388 " "
y[1] (analytic) = -5.398058529164337000E-3 " "
y[1] (numeric) = -5.398058529156935000E-3 " "
absolute error = 7.401197710255047000000000000000E-15 " "
relative error = 1.37108511704129580000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.079548786310925400E-2 " "
Order of pole (three term test) = 22.999883443856465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5699999999999388 " "
y[1] (analytic) = -3.98163355397273800000E-4 " "
y[1] (numeric) = -3.98163355389876350000E-4 " "
absolute error = 7.397457212759972000000000000000E-15 " "
relative error = 1.8578950354130508000000000E-9 "%"
Correct digits = 12
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.9632645830469840000E-4 " "
Order of pole (three term test) = 22.999999365863772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5799999999999388 " "
y[1] (analytic) = 4.601771634373527000E-3 " "
y[1] (numeric) = 4.60177163438092000E-3 " "
absolute error = 7.393391454613152000000000000000E-15 " "
relative error = 1.60664023381500740000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.203153466465633000E-3 " "
Order of pole (three term test) = 22.999915294791297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5899999999999388 " "
y[1] (analytic) = 9.601246450815688000E-3 " "
y[1] (numeric) = 9.601246450823075000E-3 " "
absolute error = 7.388187284185221000000000000000E-15 " "
relative error = 7.69502930898888300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.91989522525564620E-2 " "
Order of pole (three term test) = 22.999631264266363 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5999999999999388 " "
y[1] (analytic) = 1.459976115061377700E-2 " "
y[1] (numeric) = 1.459976115062116300E-2 " "
absolute error = 7.384717837233268000000000000000E-15 " "
relative error = 5.05810866427962900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.91870717137288570E-2 " "
Order of pole (three term test) = 22.999147387897377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6099999999999388 " "
y[1] (analytic) = 1.959681588646323700E-2 " "
y[1] (numeric) = 1.959681588647061400E-2 " "
absolute error = 7.379513666805337000000000000000E-15 " "
relative error = 3.76566974428883400000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.916351673537154500E-2 " "
Order of pole (three term test) = 22.99846385922845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6199999999999388 " "
y[1] (analytic) = 2.45919109570546700E-2 " "
y[1] (numeric) = 2.459191095706204600E-2 " "
absolute error = 7.376044219853384000000000000000E-15 " "
relative error = 2.99937822348751700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.912429687249334500E-2 " "
Order of pole (three term test) = 22.997580951661917 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6299999999999388 " "
y[1] (analytic) = 2.958454685704359000E-2 " "
y[1] (numeric) = 2.95845468570509640E-2 " "
absolute error = 7.369105325949477000000000000000E-15 " "
relative error = 2.490863004107502200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.90654279458480600E-2 " "
Order of pole (three term test) = 22.996499018349052 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6399999999999388 " "
y[1] (analytic) = 3.45742243270005200E-2 " "
y[1] (numeric) = 3.45742243270078800E-2 " "
absolute error = 7.36216643204556900000000000000E-15 " "
relative error = 2.12938007297422800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.89829336355529600E-2 " "
Order of pole (three term test) = 22.99521849204875 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6499999999999388 " "
y[1] (analytic) = 3.956044440333650000E-2 " "
y[1] (numeric) = 3.95604444033438600E-2 " "
absolute error = 7.36216643204556900000000000000E-15 " "
relative error = 1.8609918425043398000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.88728470715637800E-2 " "
Order of pole (three term test) = 22.99373988495444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6599999999999389 " "
y[1] (analytic) = 4.45427084681990700E-2 " "
y[1] (numeric) = 4.45427084682064300E-2 " "
absolute error = 7.36216643204556900000000000000E-15 " "
relative error = 1.652833131443215100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.87312124203699600E-2 " "
Order of pole (three term test) = 22.99206378848927 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6699999999999389 " "
y[1] (analytic) = 4.95205182993336270E-2 " "
y[1] (numeric) = 4.95205182993409800E-2 " "
absolute error = 7.355227538141662000000000000000E-15 " "
relative error = 1.48528888443411920000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.855408646727499E-2 " "
Order of pole (three term test) = 22.99019087306946 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6799999999999389 " "
y[1] (analytic) = 5.44933761199052100E-2 " "
y[1] (numeric) = 5.44933761199125600E-2 " "
absolute error = 7.355227538141662000000000000000E-15 " "
relative error = 1.349747081545744600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10833754019363016 " "
Order of pole (three term test) = 22.988121887836215 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6899999999999389 " "
y[1] (analytic) = 5.9460784648275800E-2 " "
y[1] (numeric) = 5.946078464828315000E-2 " "
absolute error = 7.348288644237755000000000000000E-15 " "
relative error = 1.235821001640757300000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11807766034838914 " "
Order of pole (three term test) = 22.98585766035605 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.699999999999939 " "
y[1] (analytic) = 6.44222471477320400E-2 " "
y[1] (numeric) = 6.44222471477393900E-2 " "
absolute error = 7.355227538141662000000000000000E-15 " "
relative error = 1.141721666627799500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1277705510133566 " "
Order of pole (three term test) = 22.983399096289745 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.709999999999939 " "
y[1] (analytic) = 6.93772674761585600E-2 " "
y[1] (numeric) = 6.93772674761658900E-2 " "
absolute error = 7.341349750333848000000000000000E-15 " "
relative error = 1.058177990774384100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13741233516150334 " "
Order of pole (three term test) = 22.98074717903017 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.719999999999939 " "
y[1] (analytic) = 7.43253501356516200E-2 " "
y[1] (numeric) = 7.43253501356589700E-2 " "
absolute error = 7.341349750333848000000000000000E-15 " "
relative error = 9.877316066369157000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14699915620772552 " "
Order of pole (three term test) = 22.977902969308847 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.729999999999939 " "
y[1] (analytic) = 7.92660003220687400E-2 " "
y[1] (numeric) = 7.92660003220760700E-2 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 9.244155038419373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15652717955142723 " "
Order of pole (three term test) = 22.974867604771763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.739999999999939 " "
y[1] (analytic) = 8.41987239745084000E-2 " "
y[1] (numeric) = 8.41987239745157300E-2 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 8.702592648250184000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16599259411030942 " "
Order of pole (three term test) = 22.971642299524255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.749999999999939 " "
y[1] (analytic) = 8.912302782471600E-2 " "
y[1] (numeric) = 8.91230278247233200E-2 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 8.22174935184815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17539161384475283 " "
Order of pole (three term test) = 22.968228343645425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.759999999999939 " "
y[1] (analytic) = 9.40384194464100700E-2 " "
y[1] (numeric) = 9.40384194464173900E-2 " "
absolute error = 7.313594174718219000000000000000E-15 " "
relative error = 7.777240640338533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18472047927218185 " "
Order of pole (three term test) = 22.964627102672083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.769999999999939 " "
y[1] (analytic) = 9.89444073045245800E-2 " "
y[1] (numeric) = 9.8944407304531900E-2 " "
absolute error = 7.313594174718219000000000000000E-15 " "
relative error = 7.391619570986888000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19397545897080903 " "
Order of pole (three term test) = 22.96084001705263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.779999999999939 " "
y[1] (analytic) = 0.10384050080436204 " "
y[1] (numeric) = 0.10384050080436935 " "
absolute error = 7.313594174718219000000000000000E-15 " "
relative error = 7.0431037197106770000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20315285107215258 " "
Order of pole (three term test) = 22.956868601570793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.789999999999939 " "
y[1] (analytic) = 0.10872621034065252 " "
y[1] (numeric) = 0.10872621034065984 " "
absolute error = 7.313594174718219000000000000000E-15 " "
relative error = 6.726615552775943000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2122489847417359 " "
Order of pole (three term test) = 22.952714444739843 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.799999999999939 " "
y[1] (analytic) = 0.11360104734651381 " "
y[1] (numeric) = 0.11360104734652113 " "
absolute error = 7.313594174718219000000000000000E-15 " "
relative error = 6.4379636856778130000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2212602216473715 " "
Order of pole (three term test) = 22.948379208167104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.809999999999939 " "
y[1] (analytic) = 0.11846452434230768 " "
y[1] (numeric) = 0.11846452434231498 " "
absolute error = 7.299716386910404000000000000000E-15 " "
relative error = 6.161942933918007000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23018295741444492 " "
Order of pole (three term test) = 22.9438646258894 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.819999999999939 " "
y[1] (analytic) = 0.12331615498438743 " "
y[1] (numeric) = 0.12331615498439472 " "
absolute error = 7.28583859910259000000000000000E-15 " "
relative error = 5.908259627479482000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23901362306761792 " "
Order of pole (three term test) = 22.939172503679465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.829999999999939 " "
y[1] (analytic) = 0.12815545411373186 " "
y[1] (numeric) = 0.12815545411373913 " "
absolute error = 7.271960811294775000000000000000E-15 " "
relative error = 5.6743279960923520000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2477486864583694 " "
Order of pole (three term test) = 22.934304718323613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.839999999999939 " "
y[1] (analytic) = 0.13298193780446074 " "
y[1] (numeric) = 0.13298193780446804 " "
absolute error = 7.299716386910404000000000000000E-15 " "
relative error = 5.489254035118702000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25638465367780927 " "
Order of pole (three term test) = 22.92926321687108 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.849999999999939 " "
y[1] (analytic) = 0.13779512341222713 " "
y[1] (numeric) = 0.1377951234122344 " "
absolute error = 7.271960811294775000000000000000E-15 " "
relative error = 5.277371674133936000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26491807045419485 " "
Order of pole (three term test) = 22.924050015855236 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.859999999999939 " "
y[1] (analytic) = 0.14259452962248115 " "
y[1] (numeric) = 0.14259452962248845 " "
absolute error = 7.299716386910404000000000000000E-15 " "
relative error = 5.119212080741382000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2733455235345924 " "
Order of pole (three term test) = 22.91866720048697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.869999999999939 " "
y[1] (analytic) = 0.14737967649860131 " "
y[1] (numeric) = 0.1473796764986086 " "
absolute error = 7.299716386910404000000000000000E-15 " "
relative error = 4.9530006852604813000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2816636420501348 " "
Order of pole (three term test) = 22.91311692382067 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.879999999999939 " "
y[1] (analytic) = 0.15215008552988762 " "
y[1] (numeric) = 0.1521500855298949 " "
absolute error = 7.271960811294775000000000000000E-15 " "
relative error = 4.779465477110301000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2898690988643218 " "
Order of pole (three term test) = 22.90740140589299 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.889999999999939 " "
y[1] (analytic) = 0.15690527967941223 " "
y[1] (numeric) = 0.1569052796794195 " "
absolute error = 7.271960811294775000000000000000E-15 " "
relative error = 4.63461830357320970000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.297958611903833 " "
Order of pole (three term test) = 22.9015229328349 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.899999999999939 " "
y[1] (analytic) = 0.1616447834317229 " "
y[1] (numeric) = 0.16164478343173014 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 4.481558316875115500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30592894547131116 " "
Order of pole (three term test) = 22.89548385595724 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.909999999999939 " "
y[1] (analytic) = 0.1663681228403939 " "
y[1] (numeric) = 0.16636812284040114 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 4.354322878685667500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31377691153959936 " "
Order of pole (three term test) = 22.889286590810254 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.919999999999939 " "
y[1] (analytic) = 0.1710748255754205 " "
y[1] (numeric) = 0.17107482557542775 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 4.234524402589816500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32149937102690773 " "
Order of pole (three term test) = 22.88293361621736 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.929999999999939 " "
y[1] (analytic) = 0.17576442097045145 " "
y[1] (numeric) = 0.1757644209704587 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 4.121542457615471000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3290932350524069 " "
Order of pole (three term test) = 22.876427473283684 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.939999999999939 " "
y[1] (analytic) = 0.1804364400698552 " "
y[1] (numeric) = 0.18043644006986245 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 4.0148238531388575000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3365554661717358 " "
Order of pole (three term test) = 22.869770764379666 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9499999999999391 " "
y[1] (analytic) = 0.18509041567561518 " "
y[1] (numeric) = 0.18509041567562243 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 3.913873773115923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3438830795919427 " "
Order of pole (three term test) = 22.86296615210011 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9599999999999391 " "
y[1] (analytic) = 0.1897258823940491 " "
y[1] (numeric) = 0.18972588239405633 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 3.803618973333006700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35107314436535914 " "
Order of pole (three term test) = 22.8560163581992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9699999999999391 " "
y[1] (analytic) = 0.194342376682348 " "
y[1] (numeric) = 0.1943423766823552 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 3.713266135392994000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3581227845619428 " "
Order of pole (three term test) = 22.848924162501827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9799999999999391 " "
y[1] (analytic) = 0.19893943689493007 " "
y[1] (numeric) = 0.1989394368949373 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 3.6274605843359690000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36502918041960836 " "
Order of pole (three term test) = 22.841692401791715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9899999999999392 " "
y[1] (analytic) = 0.20351660332960497 " "
y[1] (numeric) = 0.2035166033296122 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 3.5458776050699560000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3717895694720967 " "
Order of pole (three term test) = 22.83432396867672 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9999999999999392 " "
y[1] (analytic) = 0.20807341827354353 " "
y[1] (numeric) = 0.20807341827355075 " "
absolute error = 7.216449660063518000000000000000E-15 " "
relative error = 3.4682227648014213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37840124765392424 " "
Order of pole (three term test) = 22.82682181043185 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.009999999999939 " "
y[1] (analytic) = 0.21260942604904856 " "
y[1] (numeric) = 0.2126094260490559 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 3.4464473653372263000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.384861570381973 " "
Order of pole (three term test) = 22.819188927820377 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0199999999999387 " "
y[1] (analytic) = 0.21712417305912263 " "
y[1] (numeric) = 0.21712417305913004 " "
absolute error = 7.41073868937292000000000000000E-15 " "
relative error = 3.4131338694171953000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3911679536132882 " "
Order of pole (three term test) = 22.81142837389357 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0299999999999385 " "
y[1] (analytic) = 0.22161720783282698 " "
y[1] (numeric) = 0.22161720783283448 " "
absolute error = 7.494005416219807000000000000000E-15 " "
relative error = 3.381508814005444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39731787487866127 " "
Order of pole (three term test) = 22.803543252769526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0399999999999383 " "
y[1] (analytic) = 0.22608808107042846 " "
y[1] (numeric) = 0.22608808107043604 " "
absolute error = 7.577272143066693000000000000000E-15 " "
relative error = 3.351469085496066000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40330887429158385 " "
Order of pole (three term test) = 22.795536718391567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.049999999999938 " "
y[1] (analytic) = 0.23053634568832898 " "
y[1] (numeric) = 0.23053634568833667 " "
absolute error = 7.688294445529209000000000000000E-15 " "
relative error = 3.334959796718263000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40913855553216966 " "
Order of pole (three term test) = 22.787411973266686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.059999999999938 " "
y[1] (analytic) = 0.23496155686377365 " "
y[1] (numeric) = 0.23496155686378145 " "
absolute error = 7.799316747991725000000000000000E-15 " "
relative error = 3.319401204220665000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4148045868056507 " "
Order of pole (three term test) = 22.779172267184613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0699999999999377 " "
y[1] (analytic) = 0.2393632720793326 " "
y[1] (numeric) = 0.2393632720793405 " "
absolute error = 7.882583474838611000000000000000E-15 " "
relative error = 3.293146607816287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4203047017750637 " "
Order of pole (three term test) = 22.770820895917904 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0799999999999375 " "
y[1] (analytic) = 0.24374105116715236 " "
y[1] (numeric) = 0.24374105116716033 " "
absolute error = 7.965850201685498000000000000000E-15 " "
relative error = 3.268161092906212700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4256367004677546 " "
Order of pole (three term test) = 22.76236119990373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0899999999999372 " "
y[1] (analytic) = 0.24809445635297225 " "
y[1] (numeric) = 0.24809445635298033 " "
absolute error = 8.076872504148014000000000000000E-15 " "
relative error = 3.255563474847168500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43079845015533846 " "
Order of pole (three term test) = 22.75379656290769 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.099999999999937 " "
y[1] (analytic) = 0.25242305229990153 " "
y[1] (numeric) = 0.2524230522999097 " "
absolute error = 8.1601392309949010000000000000E-15 " "
relative error = 3.2327234603359095000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4357878862067632 " "
Order of pole (three term test) = 22.7451304106704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.109999999999937 " "
y[1] (analytic) = 0.2567264061519527 " "
y[1] (numeric) = 0.2567264061519609 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 3.200157905596759000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4406030129141328 " "
Order of pole (three term test) = 22.736366209537213 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999999366 " "
y[1] (analytic) = 0.2610040875773266 " "
y[1] (numeric) = 0.2610040875773349 " "
absolute error = 8.271161533457416000000000000000E-15 " "
relative error = 3.168977777410077000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4452419042909652 " "
Order of pole (three term test) = 22.7275074650717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999999364 " "
y[1] (analytic) = 0.26525566881144547 " "
y[1] (numeric) = 0.26525566881145385 " "
absolute error = 8.382183835919932000000000000000E-15 " "
relative error = 3.160039471909771000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4497027048425612 " "
Order of pole (three term test) = 22.718557720653564 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.139999999999936 " "
y[1] (analytic) = 0.26948072469972884 " "
y[1] (numeric) = 0.26948072469973733 " "
absolute error = 8.493206138382448000000000000000E-15 " "
relative error = 3.1516933717044415000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4539836303081759 " "
Order of pole (three term test) = 22.709520556061232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.149999999999936 " "
y[1] (analytic) = 0.27367883274010874 " "
y[1] (numeric) = 0.27367883274011734 " "
absolute error = 8.604228440844963000000000000000E-15 " "
relative error = 3.1439144762122406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4580829683747018 " "
Order of pole (three term test) = 22.700399586040046 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1599999999999357 " "
y[1] (analytic) = 0.2778495731252796 " "
y[1] (numeric) = 0.2778495731252883 " "
absolute error = 8.715250743307479000000000000000E-15 " "
relative error = 3.1366795511965245000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46199907936156925 " "
Order of pole (three term test) = 22.691198458856395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1699999999999355 " "
y[1] (analytic) = 0.28199252878467845 " "
y[1] (numeric) = 0.2819925287846872 " "
absolute error = 8.770761894538737000000000000000E-15 " "
relative error = 3.1102816561625446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4657303968765978 " "
Order of pole (three term test) = 22.681920854838488 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1799999999999353 " "
y[1] (analytic) = 0.28610728542619185 " "
y[1] (numeric) = 0.2861072854262007 " "
absolute error = 8.826273045769994000000000000000E-15 " "
relative error = 3.084952217355171300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46927542844253156 " "
Order of pole (three term test) = 22.672570484904224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.189999999999935 " "
y[1] (analytic) = 0.29019343157758454 " "
y[1] (numeric) = 0.2901934315775935 " "
absolute error = 8.93729534823251000000000000000E-15 " "
relative error = 3.079771757633006000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47263275609401056 " "
Order of pole (three term test) = 22.6631510890769 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.199999999999935 " "
y[1] (analytic) = 0.29425055862764654 " "
y[1] (numeric) = 0.2942505586276556 " "
absolute error = 9.048317650695026000000000000000E-15 " "
relative error = 3.0750383934342970000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47580103694473797 " "
Order of pole (three term test) = 22.653666434989272 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2099999999999347 " "
y[1] (analytic) = 0.2982782608670538 " "
y[1] (numeric) = 0.2982782608670629 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 3.052126150750212300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4787790037246168 " "
Order of pole (three term test) = 22.644120316376508 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999999345 " "
y[1] (analytic) = 0.30227613552893867 " "
y[1] (numeric) = 0.3022761355289479 " "
absolute error = 9.2148511043887990000000000000E-15 " "
relative error = 3.0484877968497810000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48156546528664085 " "
Order of pole (three term test) = 22.634516551558768 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999999343 " "
y[1] (analytic) = 0.3062437828291666 " "
y[1] (numeric) = 0.3062437828291759 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 3.045244974672224300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48415930708333715 " "
Order of pole (three term test) = 22.624858981913928 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.239999999999934 " "
y[1] (analytic) = 0.3101808060063139 " "
y[1] (numeric) = 0.31018080600632336 " "
absolute error = 9.43689570931383100000000000000E-15 " "
relative error = 3.0423854495760566000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4865594916125717 " "
Order of pole (three term test) = 22.615151470341097 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999934 " "
y[1] (analytic) = 0.3140868113613438 " "
y[1] (numeric) = 0.3140868113613533 " "
absolute error = 9.492406860545088000000000000000E-15 " "
relative error = 3.022223957574732000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4887650588325346 " "
Order of pole (three term test) = 22.605397899715456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2599999999999336 " "
y[1] (analytic) = 0.31796140829697567 " "
y[1] (numeric) = 0.3179614082969852 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 3.0028543598783536000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49077512654574496 " "
Order of pole (three term test) = 22.595602171335212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2699999999999334 " "
y[1] (analytic) = 0.32180420935674475 " "
y[1] (numeric) = 0.3218042093567544 " "
absolute error = 9.658940314238862000000000000000E-15 " "
relative error = 3.0014959510772530000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4925888907519183 " "
Order of pole (three term test) = 22.58576820336112 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.279999999999933 " "
y[1] (analytic) = 0.3256148302637475 " "
y[1] (numeric) = 0.3256148302637572 " "
absolute error = 9.71445146547012000000000000000E-15 " "
relative error = 2.9834180026755630000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49420562596955514 " "
Order of pole (three term test) = 22.575899929249243 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999933 " "
y[1] (analytic) = 0.3293928899590686 " "
y[1] (numeric) = 0.32939288995907845 " "
absolute error = 9.825473767932635000000000000000E-15 " "
relative error = 2.9829040235669870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4956246855261246 " "
Order of pole (three term test) = 22.56600129617765 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2999999999999328 " "
y[1] (analytic) = 0.333138010639887 " "
y[1] (numeric) = 0.3331380106398969 " "
absolute error = 9.880984919163893000000000000000E-15 " "
relative error = 2.9660334766917257000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4968455018167246 " "
Order of pole (three term test) = 22.55607626346759 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999999326 " "
y[1] (analytic) = 0.33684981779725554 " "
y[1] (numeric) = 0.33684981779726547 " "
absolute error = 9.936496070395151000000000000000E-15 " "
relative error = 2.949829729869638000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4978675865311164 " "
Order of pole (three term test) = 22.546128800999817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999999323 " "
y[1] (analytic) = 0.34052794025355154 " "
y[1] (numeric) = 0.34052794025356153 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 2.9342694212364845000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49869053084904186 " "
Order of pole (three term test) = 22.5361628876267 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.329999999999932 " "
y[1] (analytic) = 0.34417201019959454 " "
y[1] (numeric) = 0.3441720101996046 " "
absolute error = 1.004751837285766700000000000000E-14 " "
relative error = 2.919330472873387600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4993140056037458 " "
Order of pole (three term test) = 22.526182509580675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.339999999999932 " "
y[1] (analytic) = 0.3477816632314266 " "
y[1] (numeric) = 0.3477816632314367 " "
absolute error = 1.010302952408892500000000000000E-14 " "
relative error = 2.9049920085539416000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997377614136397 " "
Order of pole (three term test) = 22.516191658879926 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3499999999999317 " "
y[1] (analytic) = 0.3513565383867526 " "
y[1] (numeric) = 0.35135653838676284 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 2.90703337226883000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999616287820496 " "
Order of pole (three term test) = 22.506194331731518 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3599999999999315 " "
y[1] (analytic) = 0.35489627818103614 " "
y[1] (numeric) = 0.3548962781810464 " "
absolute error = 1.026956297778269800000000000000E-14 " "
relative error = 2.8936801001176155000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999855181650127 " "
Order of pole (three term test) = 22.496194526932992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3699999999999313 " "
y[1] (analytic) = 0.35840052864324745 " "
y[1] (numeric) = 0.3584005286432578 " "
absolute error = 1.032507412901395600000000000000E-14 " "
relative error = 2.8808758090007040000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49980942000709466 " "
Order of pole (three term test) = 22.486196244272964 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.379999999999931 " "
y[1] (analytic) = 0.3618689393512606 " "
y[1] (numeric) = 0.36186893935127096 " "
absolute error = 1.038058528024521400000000000000E-14 " "
relative error = 2.868603560961871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994334047452104 " "
Order of pole (three term test) = 22.476203482931176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999931 " "
y[1] (analytic) = 0.36530116346689495 " "
y[1] (numeric) = 0.36530116346690544 " "
absolute error = 1.04916075827077300000000000000E-14 " "
relative error = 2.8720432979564053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4988576227804514 " "
Order of pole (three term test) = 22.46622023987893 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3999999999999306 " "
y[1] (analytic) = 0.3686968577705993 " "
y[1] (numeric) = 0.36869685777060984 " "
absolute error = 1.054711873393898700000000000000E-14 " "
relative error = 2.860647849757736000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4980823044179264 " "
Order of pole (three term test) = 22.45625050828035 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999999304 " "
y[1] (analytic) = 0.372055682695773 " "
y[1] (numeric) = 0.37205568269578354 " "
absolute error = 1.054711873393898700000000000000E-14 " "
relative error = 2.8348226420084766000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49710775977464317 " "
Order of pole (three term test) = 22.44629827589513 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.41999999999993 " "
y[1] (analytic) = 0.37537730236272243 " "
y[1] (numeric) = 0.37537730236273303 " "
absolute error = 1.060262988517024500000000000000E-14 " "
relative error = 2.824526101720730700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4959343786554653 " "
Order of pole (three term test) = 22.436367523483543 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.42999999999993 " "
y[1] (analytic) = 0.37866138461224896 " "
y[1] (numeric) = 0.3786613846122597 " "
absolute error = 1.07136521876327600000000000000E-14 " "
relative error = 2.829349023429889000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49456263039719517 " "
Order of pole (three term test) = 22.426462223214138 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.43999999999993 " "
y[1] (analytic) = 0.3819076010388644 " "
y[1] (numeric) = 0.38190760103887517 " "
absolute error = 1.076916333886401800000000000000E-14 " "
relative error = 2.8198347740578500000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49299306368084694 " "
Order of pole (three term test) = 22.416586337074957 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4499999999999296 " "
y[1] (analytic) = 0.3851156270236312 " "
y[1] (numeric) = 0.38511562702364205 " "
absolute error = 1.082467449009527600000000000000E-14 " "
relative error = 2.8107596084204234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4912263063121794 " "
Order of pole (three term test) = 22.40674381528878 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4599999999999294 " "
y[1] (analytic) = 0.38828514176662426 " "
y[1] (numeric) = 0.3882851417666352 " "
absolute error = 1.093569679255779200000000000000E-14 " "
relative error = 2.8164087718634895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48926306497058386 " "
Order of pole (three term test) = 22.39693859473309 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.469999999999929 " "
y[1] (analytic) = 0.39141582831901056 " "
y[1] (numeric) = 0.39141582831902155 " "
absolute error = 1.09912079437890500000000000000E-14 " "
relative error = 2.8080642499799546000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48710412492642063 " "
Order of pole (three term test) = 22.387174597365373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999929 " "
y[1] (analytic) = 0.39450737361474375 " "
y[1] (numeric) = 0.3945073736147548 " "
absolute error = 1.104671909502030800000000000000E-14 " "
relative error = 2.8001299427695825000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4847503497269218 " "
Order of pole (three term test) = 22.377455728654386 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4899999999999287 " "
y[1] (analytic) = 0.39755946850187046 " "
y[1] (numeric) = 0.3975594685018816 " "
absolute error = 1.115774139748282300000000000000E-14 " "
relative error = 2.806559089015968600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4822026808507843 " "
Order of pole (three term test) = 22.367785876018043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999999285 " "
y[1] (analytic) = 0.4005718077734455 " "
y[1] (numeric) = 0.4005718077734567 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 2.7993114670356550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47946213733158954 " "
Order of pole (three term test) = 22.358168907268457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999999283 " "
y[1] (analytic) = 0.4035440901980519 " "
y[1] (numeric) = 0.40354409019806314 " "
absolute error = 1.126876369994533900000000000000E-14 " "
relative error = 2.7924491954311215000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4765298153502056 " "
Order of pole (three term test) = 22.348608669064905 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.519999999999928 " "
y[1] (analytic) = 0.40647601854992405 " "
y[1] (numeric) = 0.4064760185499354 " "
absolute error = 1.137978600240785500000000000000E-14 " "
relative error = 2.799620514638103000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47340688779632756 " "
Order of pole (three term test) = 22.339108985375205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.529999999999928 " "
y[1] (analytic) = 0.40936729963867013 " "
y[1] (numeric) = 0.40936729963868157 " "
absolute error = 1.143529715363911200000000000000E-14 " "
relative error = 2.793407574013002000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4700946037993389 " "
Order of pole (three term test) = 22.32967365594617 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5399999999999276 " "
y[1] (analytic) = 0.41221764433859065 " "
y[1] (numeric) = 0.41221764433860214 " "
absolute error = 1.14908083048703700000000000000E-14 " "
relative error = 2.7875585780195180000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4665942882286747 " "
Order of pole (three term test) = 22.320306454783772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5499999999999274 " "
y[1] (analytic) = 0.4150267676175909 " "
y[1] (numeric) = 0.41502676761760243 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 2.7820662080139613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46290734116389354 " "
Order of pole (three term test) = 22.311011128643578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5599999999999272 " "
y[1] (analytic) = 0.4177943885656838 " "
y[1] (numeric) = 0.41779438856569545 " "
absolute error = 1.165734175856414400000000000000E-14 " "
relative error = 2.790210227232725600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4590352373346623 " "
Order of pole (three term test) = 22.301791395532103 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999927 " "
y[1] (analytic) = 0.420520230423081 " "
y[1] (numeric) = 0.4205202304230927 " "
absolute error = 1.171285290979540200000000000000E-14 " "
relative error = 2.7853244772579010000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45497952553088544 " "
Order of pole (three term test) = 22.292650943219673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999927 " "
y[1] (analytic) = 0.42320402060786827 " "
y[1] (numeric) = 0.42320402060788004 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 2.7807779434900437000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45074182798320905 " "
Order of pole (three term test) = 22.28359342776534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999999266 " "
y[1] (analytic) = 0.4258454907432636 " "
y[1] (numeric) = 0.42584549074327543 " "
absolute error = 1.182387521225791700000000000000E-14 " "
relative error = 2.776564615400934000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44632383971415024 " "
Order of pole (three term test) = 22.274622472054514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999999264 " "
y[1] (analytic) = 0.4284443766844546 " "
y[1] (numeric) = 0.42844437668446655 " "
absolute error = 1.193489751472043300000000000000E-14 " "
relative error = 2.7856352339315155000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4417273278601111 " "
Order of pole (three term test) = 22.26574166434988 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.609999999999926 " "
y[1] (analytic) = 0.43100041854501303 " "
y[1] (numeric) = 0.431000418545025 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 2.781994668689499000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43695413096454694 " "
Order of pole (three term test) = 22.25695455685609 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.619999999999926 " "
y[1] (analytic) = 0.43351336072288277 " "
y[1] (numeric) = 0.4335133607228948 " "
absolute error = 1.204591981718294800000000000000E-14 " "
relative error = 2.7786732563666316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43200615824257455 " "
Order of pole (three term test) = 22.248264664299008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6299999999999257 " "
y[1] (analytic) = 0.4359829519259401 " "
y[1] (numeric) = 0.4359829519259522 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 2.7756660931250960000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4268853888173103 " "
Order of pole (three term test) = 22.239675462519774 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999999255 " "
y[1] (analytic) = 0.4384089451971228 " "
y[1] (numeric) = 0.43840894519713497 " "
absolute error = 1.215694211964546400000000000000E-14 " "
relative error = 2.772968538353912700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4215938709282485 " "
Order of pole (three term test) = 22.23119038708458 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6499999999999253 " "
y[1] (analytic) = 0.4407910979391253 " "
y[1] (numeric) = 0.44079109793913757 " "
absolute error = 1.22679644221079800000000000000E-14 " "
relative error = 2.7831697326614850000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41613372111199187 " "
Order of pole (three term test) = 22.22281283191048 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.659999999999925 " "
y[1] (analytic) = 0.44312917193865864 " "
y[1] (numeric) = 0.44312917193867096 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 2.7810120284848117000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4105071233556662 " "
Order of pole (three term test) = 22.214546147907832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999925 " "
y[1] (analytic) = 0.44542293339027117 " "
y[1] (numeric) = 0.44542293339028355 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.779153428484173000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4047163282233536 " "
Order of pole (three term test) = 22.20639364164002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6799999999999247 " "
y[1] (analytic) = 0.4476721529197292 " "
y[1] (numeric) = 0.44767215291974166 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 2.7775902062935210000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3987636519558977 " "
Order of pole (three term test) = 22.198358574000856 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999999245 " "
y[1] (analytic) = 0.4498766056069542 " "
y[1] (numeric) = 0.4498766056069667 " "
absolute error = 1.249000902703301100000000000000E-14 " "
relative error = 2.776318855296338000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39265147554443697 " "
Order of pole (three term test) = 22.190444158910257 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999999242 " "
y[1] (analytic) = 0.4520360710085144 " "
y[1] (numeric) = 0.45203607100852694 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 2.7753360810951666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3863822437780418 " "
Order of pole (three term test) = 22.182653562028744 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.709999999999924 " "
y[1] (analytic) = 0.4541503331796692 " "
y[1] (numeric) = 0.4541503331796818 " "
absolute error = 1.260103132949552700000000000000E-14 " "
relative error = 2.774638794443063000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37995846426582996 " "
Order of pole (three term test) = 22.17498989949118 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.719999999999924 " "
y[1] (analytic) = 0.4562191806959634 " "
y[1] (numeric) = 0.456219180695976 " "
absolute error = 1.260103132949552700000000000000E-14 " "
relative error = 2.7620564550294935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.373382706433957 " "
Order of pole (three term test) = 22.167456236660417 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999999236 " "
y[1] (analytic) = 0.4582424066743694 " "
y[1] (numeric) = 0.45824240667438204 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 2.7619753860363744000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36665760049788015 " "
Order of pole (three term test) = 22.16005558690113 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999999234 " "
y[1] (analytic) = 0.46021980879397534 " "
y[1] (numeric) = 0.46021980879398805 " "
absolute error = 1.271205363195804200000000000000E-14 " "
relative error = 2.7621700302884600000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3597858364103072 " "
Order of pole (three term test) = 22.152790910374545 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.749999999999923 " "
y[1] (analytic) = 0.4621511893162171 " "
y[1] (numeric) = 0.4621511893162299 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.762638088647948000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3527701627852504 " "
Order of pole (three term test) = 22.145665112854424 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999923 " "
y[1] (analytic) = 0.46403635510465197 " "
y[1] (numeric) = 0.4640363551046648 " "
absolute error = 1.282307593442055800000000000000E-14 " "
relative error = 2.7633774365649927000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3456133857986189 " "
Order of pole (three term test) = 22.138681044564755 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7699999999999227 " "
y[1] (analytic) = 0.4658751176442721 " "
y[1] (numeric) = 0.4658751176442849 " "
absolute error = 1.282307593442055800000000000000E-14 " "
relative error = 2.75247066193646030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3383183680657853 " "
Order of pole (three term test) = 22.131841499039744 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7799999999999225 " "
y[1] (analytic) = 0.4676672930603557 " "
y[1] (numeric) = 0.4676672930603686 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 2.7537925522599555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3308880274965768 " "
Order of pole (three term test) = 22.125149212006395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999999223 " "
y[1] (analytic) = 0.4694127021368547 " "
y[1] (numeric) = 0.46941270213686764 " "
absolute error = 1.293409823688307400000000000000E-14 " "
relative error = 2.7553788335945390000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32332533612815095 " "
Order of pole (three term test) = 22.118606860290306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.799999999999922 " "
y[1] (analytic) = 0.47111117033431604 " "
y[1] (numeric) = 0.471111170334329 " "
absolute error = 1.293409823688307400000000000000E-14 " "
relative error = 2.7454450353415755000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3156333189362213 " "
Order of pole (three term test) = 22.112217060744925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.809999999999922 " "
y[1] (analytic) = 0.47276252780733524 " "
y[1] (numeric) = 0.47276252780734823 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.7475970755042545000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3078150526251047 " "
Order of pole (three term test) = 22.10598236920487 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8199999999999217 " "
y[1] (analytic) = 0.4743666094215412 " "
y[1] (numeric) = 0.4743666094215542 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.7383060127175274000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29987366439708457 " "
Order of pole (three term test) = 22.09990527946364 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999999215 " "
y[1] (analytic) = 0.47592325477010916 " "
y[1] (numeric) = 0.4759232547701222 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.7410134740415090000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2918123307015675 " "
Order of pole (three term test) = 22.093988222276103 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999999213 " "
y[1] (analytic) = 0.4774323081898015 " "
y[1] (numeric) = 0.4774323081898146 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.7439767828549920000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28363427596454915 " "
Order of pole (three term test) = 22.088233564386233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999921 " "
y[1] (analytic) = 0.4788936187765338 " "
y[1] (numeric) = 0.4788936187765469 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.7356037284535206000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2753427712988848 " "
Order of pole (three term test) = 22.08264360758047 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.859999999999921 " "
y[1] (analytic) = 0.4803070404004651 " "
y[1] (numeric) = 0.4803070404004783 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.7391109717731643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2669411331958889 " "
Order of pole (three term test) = 22.077220587766984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8699999999999206 " "
y[1] (analytic) = 0.48167243172061097 " "
y[1] (numeric) = 0.48167243172062413 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.7313464453035560000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25843272219878255 " "
Order of pole (three term test) = 22.07196667408141 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8799999999999204 " "
y[1] (analytic) = 0.4829896561989771 " "
y[1] (numeric) = 0.48298965619899026 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.7238974319541476000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24982094155852017 " "
Order of pole (three term test) = 22.066883968019173 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.88999999999992 " "
y[1] (analytic) = 0.48425858211421335 " "
y[1] (numeric) = 0.48425858211422657 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.7282229951111875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24110923587253574 " "
Order of pole (three term test) = 22.061974502594925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.89999999999992 " "
y[1] (analytic) = 0.48547908257478567 " "
y[1] (numeric) = 0.48547908257479894 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.732798511916706400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2323010897069495 " "
Order of pole (three term test) = 22.057240241529374 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9099999999999198 " "
y[1] (analytic) = 0.4866510355316651 " "
y[1] (numeric) = 0.4866510355316784 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.7262173869159195000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22340002620278693 " "
Order of pole (three term test) = 22.052683078463833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999999195 " "
y[1] (analytic) = 0.4877743237905325 " "
y[1] (numeric) = 0.4877743237905458 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.731319720146464000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2144096056667706 " "
Order of pole (three term test) = 22.048304836202757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999999193 " "
y[1] (analytic) = 0.48884883502349813 " "
y[1] (numeric) = 0.48884883502351145 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.7253161593115960000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20533342414724406 " "
Order of pole (three term test) = 22.044107265984675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.939999999999919 " "
y[1] (analytic) = 0.48987446178033406 " "
y[1] (numeric) = 0.4898744617803474 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.7196102950710530000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1961751119958013 " "
Order of pole (three term test) = 22.040092046781712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.949999999999919 " "
y[1] (analytic) = 0.4908511014992193 " "
y[1] (numeric) = 0.49085110149923267 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.7255082867027886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18693833241519348 " "
Order of pole (three term test) = 22.036260784628016 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9599999999999187 " "
y[1] (analytic) = 0.49177865651699587 " "
y[1] (numeric) = 0.49177865651700925 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.7203676429318124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17762677999409732 " "
Order of pole (three term test) = 22.03261501197736 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9699999999999185 " "
y[1] (analytic) = 0.4926570340789349 " "
y[1] (numeric) = 0.4926570340789483 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.7155173926918186000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16824417922932908 " "
Order of pole (three term test) = 22.029156187090187 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9799999999999183 " "
y[1] (analytic) = 0.49348614634801224 " "
y[1] (numeric) = 0.4934861463480256 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.7109550178332015000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15879428303609489 " "
Order of pole (three term test) = 22.025885693450352 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.989999999999918 " "
y[1] (analytic) = 0.49426591041369183 " "
y[1] (numeric) = 0.4942659104137052 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.7066781594417120000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14928087124687514 " "
Order of pole (three term test) = 22.02280483921169 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.999999999999918 " "
y[1] (analytic) = 0.49499624830021693 " "
y[1] (numeric) = 0.49499624830023037 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.713899073800012000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13970774909954184 " "
Order of pole (three term test) = 22.01991485667484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0099999999999176 " "
y[1] (analytic) = 0.49567708697440754 " "
y[1] (numeric) = 0.495677086974421 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.7101713899997143000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1300787457153138 " "
Order of pole (three term test) = 22.01721690179426 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0199999999999174 " "
y[1] (analytic) = 0.49630835835296355 " "
y[1] (numeric) = 0.496308358352977 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.706724231392179000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12039771256715967 " "
Order of pole (three term test) = 22.014712053715943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.029999999999917 " "
y[1] (analytic) = 0.4968899993092732 " "
y[1] (numeric) = 0.4968899993092866 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.7035558406565996000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1106685219392603 " "
Order of pole (three term test) = 22.01240131434572 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.039999999999917 " "
y[1] (analytic) = 0.4974219516797255 " "
y[1] (numeric) = 0.49742195167973896 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.700664607301837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10089506537814583 " "
Order of pole (three term test) = 22.010285607948536 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0499999999999168 " "
y[1] (analytic) = 0.49790416226952683 " "
y[1] (numeric) = 0.49790416226954026 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.6980490656538086000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.1081252136129600E-2 " "
Order of pole (three term test) = 22.008365780778725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0599999999999166 " "
y[1] (analytic) = 0.4983365828580199 " "
y[1] (numeric) = 0.49833658285803334 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.695707893030956400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.12310076076594900E-2 " "
Order of pole (three term test) = 22.006642600741575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0699999999999164 " "
y[1] (analytic) = 0.49871917020350626 " "
y[1] (numeric) = 0.49871917020351975 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.7047706515254416000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.1348271759211900E-2 " "
Order of pole (three term test) = 22.005116757086107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.079999999999916 " "
y[1] (analytic) = 0.4990518860475702 " "
y[1] (numeric) = 0.4990518860475837 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.70296739203383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.14369975533583100E-2 " "
Order of pole (three term test) = 22.00378886012945 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.089999999999916 " "
y[1] (analytic) = 0.4993346971189046 " "
y[1] (numeric) = 0.4993346971189181 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.7014364968079757000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.1501149367632490E-2 " "
Order of pole (three term test) = 22.002659441012693 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0999999999999157 " "
y[1] (analytic) = 0.49956757513663796 " "
y[1] (numeric) = 0.49956757513665145 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.7001771973503660000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.15447014088322740E-2 " "
Order of pole (three term test) = 22.0017289514884 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999999155 " "
y[1] (analytic) = 0.4997504968131626 " "
y[1] (numeric) = 0.49975049681317607 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.6991888622851623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.15716361233905900E-2 " "
Order of pole (three term test) = 22.000997763739985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1199999999999153 " "
y[1] (analytic) = 0.49988344385646327 " "
y[1] (numeric) = 0.49988344385647676 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.698470996584746000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.158594260444906500E-2 " "
Order of pole (three term test) = 22.000466170232805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.129999999999915 " "
y[1] (analytic) = 0.49996640297194644 " "
y[1] (numeric) = 0.49996640297195993 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.6980232409641625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.159161499627453200E-2 " "
Order of pole (three term test) = 22.00013438359717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.139999999999915 " "
y[1] (analytic) = 0.4999993658637697 " "
y[1] (numeric) = 0.4999993658637832 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.697845371442118000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.5926508966542600000E-3 " "
Order of pole (three term test) = 22.000002536543313 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1499999999999146 " "
y[1] (analytic) = 0.4999823292356713 " "
y[1] (numeric) = 0.4999823292356848 " "
absolute error = 1.348920974919565200000000000000E-14 " "
relative error = 2.697937299067501000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.406950242089607000E-3 " "
Order of pole (three term test) = 22.000070681808293 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1599999999999144 " "
y[1] (analytic) = 0.4999152947913 " "
y[1] (numeric) = 0.4999152947913134 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.6871949584124190000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.84031887128278170E-2 " "
Order of pole (three term test) = 22.000338792134915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.169999999999914 " "
y[1] (analytic) = 0.49979826923404413 " "
y[1] (numeric) = 0.49979826923405757 " "
absolute error = 1.343369859796439400000000000000E-14 " "
relative error = 2.6878241532432556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.83920661534534600E-2 " "
Order of pole (three term test) = 22.000806760282615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.179999999999914 " "
y[1] (analytic) = 0.4996312642663621 " "
y[1] (numeric) = 0.4996312642663755 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6776121519090910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.83695871461735600E-2 " "
Order of pole (three term test) = 22.001474399070382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.189999999999914 " "
y[1] (analytic) = 0.4994142965886114 " "
y[1] (numeric) = 0.4994142965886248 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.678775425156343000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.83317608156228700E-2 " "
Order of pole (three term test) = 22.00234144145161 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999999136 " "
y[1] (analytic) = 0.49914738789737906 " "
y[1] (numeric) = 0.49914738789739244 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.6802078446383837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.8274602425160790E-2 " "
Order of pole (three term test) = 22.003407540620895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2099999999999134 " "
y[1] (analytic) = 0.49883056488331173 " "
y[1] (numeric) = 0.4988305648833251 " "
absolute error = 1.337818744673313600000000000000E-14 " "
relative error = 2.681910129116208400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.81941349707130700E-2 " "
Order of pole (three term test) = 22.00467227015278 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.219999999999913 " "
y[1] (analytic) = 0.4984638592284469 " "
y[1] (numeric) = 0.4984638592284602 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6727466894236906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.80863907715199500E-2 " "
Order of pole (three term test) = 22.00613512417233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.229999999999913 " "
y[1] (analytic) = 0.4980473076030443 " "
y[1] (numeric) = 0.4980473076030576 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6749820934922860000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.79474130571562700E-2 " "
Order of pole (three term test) = 22.00779551755743 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2399999999999127 " "
y[1] (analytic) = 0.49758095166191946 " "
y[1] (numeric) = 0.4975809516619328 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.677489210751368700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.77732575501862900E-2 " "
Order of pole (three term test) = 22.00965278617287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2499999999999125 " "
y[1] (analytic) = 0.49706483804027785 " "
y[1] (numeric) = 0.49706483804029117 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6802693081304463000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10755999404382231 " "
Order of pole (three term test) = 22.011706187135967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2599999999999123 " "
y[1] (analytic) = 0.4964990183490515 " "
y[1] (numeric) = 0.49649901834906485 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6833237938318940000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11730370797395497 " "
Order of pole (three term test) = 22.013954899113713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.269999999999912 " "
y[1] (analytic) = 0.4958835491697381 " "
y[1] (numeric) = 0.4958835491697514 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 2.6866542190819087000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12700050198492643 " "
Order of pole (three term test) = 22.01639802265129 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.279999999999912 " "
y[1] (analytic) = 0.49521849204874263 " "
y[1] (numeric) = 0.4952184920487559 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.679052853899644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13664649748842161 " "
Order of pole (three term test) = 22.019034580531876 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2899999999999117 " "
y[1] (analytic) = 0.49450391349122297 " "
y[1] (numeric) = 0.49450391349123624 " "
absolute error = 1.32671651442706200000000000000E-14 " "
relative error = 2.6829241958074210000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14623783621485026 " "
Order of pole (three term test) = 22.021863518167464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2999999999999114 " "
y[1] (analytic) = 0.49373988495443943 " "
y[1] (numeric) = 0.49373988495445265 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.6758328414684357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15577068175660497 " "
Order of pole (three term test) = 22.024883704020702 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3099999999999112 " "
y[1] (analytic) = 0.49292648284060897 " "
y[1] (numeric) = 0.4929264828406222 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.680248364199056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16524122110257158 " "
Order of pole (three term test) = 22.028093930057544 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.319999999999911 " "
y[1] (analytic) = 0.49206378848926513 " "
y[1] (numeric) = 0.49206378848927834 " "
absolute error = 1.321165399303936300000000000000E-14 " "
relative error = 2.6849474198460730000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17464566616328417 " "
Order of pole (three term test) = 22.031492912230362 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.329999999999911 " "
y[1] (analytic) = 0.4911518881691242 " "
y[1] (numeric) = 0.49115188816913735 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.678630207622839000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1839802552861093 " "
Order of pole (three term test) = 22.03507929099161 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3399999999999106 " "
y[1] (analytic) = 0.4901908730694582 " "
y[1] (numeric) = 0.49019087306947134 " "
absolute error = 1.315614284180810500000000000000E-14 " "
relative error = 2.683881639702404000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19324125475985732 " "
Order of pole (three term test) = 22.03885163183761 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3499999999999104 " "
y[1] (analytic) = 0.48918083929097633 " "
y[1] (numeric) = 0.48918083929098943 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.678075394278532000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20242496030821713 " "
Order of pole (three term test) = 22.042808425882306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.35999999999991 " "
y[1] (analytic) = 0.4881218878362147 " "
y[1] (numeric) = 0.4881218878362278 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.6838853198430346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21152769857141726 " "
Order of pole (three term test) = 22.04694809046084 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.36999999999991 " "
y[1] (analytic) = 0.48701412459943627 " "
y[1] (numeric) = 0.48701412459944937 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 2.6899900904007606000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22054582857552021 " "
Order of pole (three term test) = 22.051268969762575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3799999999999097 " "
y[1] (analytic) = 0.4858576603560417 " "
y[1] (numeric) = 0.48585766035605477 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.684967554033415000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2294757431887651 " "
Order of pole (three term test) = 22.055769335493416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999999095 " "
y[1] (analytic) = 0.4846526107514916 " "
y[1] (numeric) = 0.4846526107515046 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.691643509176215300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23831387056437012 " "
Order of pole (three term test) = 22.06044738756706 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3999999999999093 " "
y[1] (analytic) = 0.4833990962897421 " "
y[1] (numeric) = 0.48339909628975514 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.698623278254236000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24705667556922534 " "
Order of pole (three term test) = 22.06530125482504 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.409999999999909 " "
y[1] (analytic) = 0.4820972423211949 " "
y[1] (numeric) = 0.48209724232120793 " "
absolute error = 1.30451205393455900000000000000E-14 " "
relative error = 2.7059106325802923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2557006611978979 " "
Order of pole (three term test) = 22.0703289957852 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.419999999999909 " "
y[1] (analytic) = 0.48074717903016195 " "
y[1] (numeric) = 0.48074717903017494 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 2.70196268531809000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26424236997138795 " "
Order of pole (three term test) = 22.07552859941816 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4299999999999087 " "
y[1] (analytic) = 0.4793490414218473 " "
y[1] (numeric) = 0.47934904142186024 " "
absolute error = 1.293409823688307400000000000000E-14 " "
relative error = 2.698263085812771000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2726783853200741 " "
Order of pole (three term test) = 22.080897985951825 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4399999999999085 " "
y[1] (analytic) = 0.4779029693088467 " "
y[1] (numeric) = 0.47790296930885956 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 2.6948121088841730000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28100533295029595 " "
Order of pole (three term test) = 22.08643500770315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4499999999999083 " "
y[1] (analytic) = 0.4764091072971663 " "
y[1] (numeric) = 0.47640910729717917 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 2.703262151875412000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28921988219402495 " "
Order of pole (three term test) = 22.09213744993727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.459999999999908 " "
y[1] (analytic) = 0.4748676047717625 " "
y[1] (numeric) = 0.4748676047717753 " "
absolute error = 1.282307593442055800000000000000E-14 " "
relative error = 2.700347592795631000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2973187473410903 " "
Order of pole (three term test) = 22.098003031753322 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.469999999999908 " "
y[1] (analytic) = 0.4732786158816032 " "
y[1] (numeric) = 0.47327861588161596 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.6976846945443383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30529868895341633 " "
Order of pole (three term test) = 22.10402940699678 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4799999999999076 " "
y[1] (analytic) = 0.47164229952425324 " "
y[1] (numeric) = 0.471642299524266 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.7070440450459970000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.313156515160756 " "
Order of pole (three term test) = 22.110214165197903 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4899999999999074 " "
y[1] (analytic) = 0.4699588193299848 " "
y[1] (numeric) = 0.46995881932999756 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 2.716741182002261300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32088908293739565 " "
Order of pole (three term test) = 22.11655483253587 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.499999999999907 " "
y[1] (analytic) = 0.46822834364541444 " "
y[1] (numeric) = 0.46822834364542715 " "
absolute error = 1.271205363195804200000000000000E-14 " "
relative error = 2.7149261262117824000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32849329935932453 " "
Order of pole (three term test) = 22.12304887282828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.509999999999907 " "
y[1] (analytic) = 0.46645104551666855 " "
y[1] (numeric) = 0.4664510455166812 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 2.713369945758757300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33596612284136196 " "
Order of pole (three term test) = 22.129693688545625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5199999999999068 " "
y[1] (analytic) = 0.46462710267207885 " "
y[1] (numeric) = 0.4646271026720915 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 2.724021566529111000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34330456435375145 " "
Order of pole (three term test) = 22.136486621850192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999999065 " "
y[1] (analytic) = 0.4627566975044099 " "
y[1] (numeric) = 0.46275669750442255 " "
absolute error = 1.265654248072678500000000000000E-14 " "
relative error = 2.735031723793943000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3505056886177327 " "
Order of pole (three term test) = 22.143424955659253 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5399999999999063 " "
y[1] (analytic) = 0.46084001705261984 " "
y[1] (numeric) = 0.46084001705263244 " "
absolute error = 1.260103132949552700000000000000E-14 " "
relative error = 2.734361353878847000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3575666152796134 " "
Order of pole (three term test) = 22.150505914731767 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.549999999999906 " "
y[1] (analytic) = 0.4588772529831566 " "
y[1] (numeric) = 0.45887725298316917 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 2.7339599199363146000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3644845200628739 " "
Order of pole (three term test) = 22.157726666778533 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.559999999999906 " "
y[1] (analytic) = 0.45686860157079145 " "
y[1] (numeric) = 0.456868601570804 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 2.745979945903625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37125663589783764 " "
Order of pole (three term test) = 22.165084323594993 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5699999999999057 " "
y[1] (analytic) = 0.4548142636789918 " "
y[1] (numeric) = 0.4548142636790043 " "
absolute error = 1.249000902703301100000000000000E-14 " "
relative error = 2.7461779509730740000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3778802540284651 " "
Order of pole (three term test) = 22.172575942216547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5799999999999055 " "
y[1] (analytic) = 0.4527144447398349 " "
y[1] (numeric) = 0.45271444473984734 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 2.746653662210311600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38435272509581714 " "
Order of pole (three term test) = 22.180198526095612 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5899999999999053 " "
y[1] (analytic) = 0.45056935473346477 " "
y[1] (numeric) = 0.4505693547334772 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 2.759730049363301000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3906714601977657 " "
Order of pole (three term test) = 22.187949026300274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.599999999999905 " "
y[1] (analytic) = 0.44837920816709453 " "
y[1] (numeric) = 0.4483792081671069 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.7608297840512935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3968339319245187 " "
Order of pole (three term test) = 22.195824342733797 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.609999999999905 " "
y[1] (analytic) = 0.44614422405355564 " "
y[1] (numeric) = 0.446144224053568 " "
absolute error = 1.237898672457049500000000000000E-14 " "
relative error = 2.774660313227435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40283767536955034 " "
Order of pole (three term test) = 22.203821325374605 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6199999999999046 " "
y[1] (analytic) = 0.443864625889397 " "
y[1] (numeric) = 0.44386462588940934 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 2.7764040778527870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4086802891155316 " "
Order of pole (three term test) = 22.211936775536266 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6299999999999044 " "
y[1] (analytic) = 0.4415406416325354 " "
y[1] (numeric) = 0.4415406416325477 " "
absolute error = 1.22679644221079800000000000000E-14 " "
relative error = 2.7784451226842620000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4143594361948642 " "
Order of pole (three term test) = 22.22016744714692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.639999999999904 " "
y[1] (analytic) = 0.4391725036794599 " "
y[1] (numeric) = 0.4391725036794721 " "
absolute error = 1.215694211964546400000000000000E-14 " "
relative error = 2.768147372112914600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41987284502443795 " "
Order of pole (three term test) = 22.22851004804766 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.649999999999904 " "
y[1] (analytic) = 0.4367604488419923 " "
y[1] (numeric) = 0.43676044884200443 " "
absolute error = 1.215694211964546400000000000000E-14 " "
relative error = 2.783434752821107300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42521831031423185 " "
Order of pole (three term test) = 22.236961241309366 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6599999999999038 " "
y[1] (analytic) = 0.4343047183236063 " "
y[1] (numeric) = 0.4343047183236184 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 2.7863917792846240000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43039369394940175 " "
Order of pole (three term test) = 22.24551764656741 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6699999999999036 " "
y[1] (analytic) = 0.4318055576953074 " "
y[1] (numeric) = 0.43180555769531936 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 2.7768073968173470000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4353969258454982 " "
Order of pole (three term test) = 22.254175841373772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6799999999999033 " "
y[1] (analytic) = 0.42926321687107566 " "
y[1] (numeric) = 0.4292632168710876 " "
absolute error = 1.193489751472043300000000000000E-14 " "
relative error = 2.7803215010395227000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44022600477647156 " "
Order of pole (three term test) = 22.262932362565984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.689999999999903 " "
y[1] (analytic) = 0.42667795008287496 " "
y[1] (numeric) = 0.4266779500828869 " "
absolute error = 1.193489751472043300000000000000E-14 " "
relative error = 2.797167632497128400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44487899917513574 " "
Order of pole (three term test) = 22.271783707652304 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.699999999999903 " "
y[1] (analytic) = 0.4240500158552298 " "
y[1] (numeric) = 0.42405001585524166 " "
absolute error = 1.187938636348917500000000000000E-14 " "
relative error = 2.8014116069611905000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44935404790577077 " "
Order of pole (three term test) = 22.280726336212716 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7099999999999027 " "
y[1] (analytic) = 0.42137967697937295 " "
y[1] (numeric) = 0.4213796769793847 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 2.792817191703988000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4536493610085513 " "
Order of pole (three term test) = 22.28975667131504 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999999025 " "
y[1] (analytic) = 0.4186672004869667 " "
y[1] (numeric) = 0.4186672004869784 " "
absolute error = 1.171285290979540200000000000000E-14 " "
relative error = 2.7976523826494565000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4577632204155056 " "
Order of pole (three term test) = 22.298871100945625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7299999999999023 " "
y[1] (analytic) = 0.4159128576233999 " "
y[1] (numeric) = 0.4159128576234116 " "
absolute error = 1.171285290979540200000000000000E-14 " "
relative error = 2.8161795662497013000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46169398063772193 " "
Order of pole (three term test) = 22.30806597945415 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.739999999999902 " "
y[1] (analytic) = 0.41311692382066373 " "
y[1] (numeric) = 0.41311692382067533 " "
absolute error = 1.160183060733288600000000000000E-14 " "
relative error = 2.808364881311254000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.465440069423521 " "
Order of pole (three term test) = 22.31733762901181 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.749999999999902 " "
y[1] (analytic) = 0.4102796786698084 " "
y[1] (numeric) = 0.41027967866981996 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 2.8142557519633000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46899998838733553 " "
Order of pole (three term test) = 22.326682341082396 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7599999999999016 " "
y[1] (analytic) = 0.4074014058929847 " "
y[1] (numeric) = 0.40740140589299617 " "
absolute error = 1.14908083048703700000000000000E-14 " "
relative error = 2.820512678321182000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4723723136090447 " "
Order of pole (three term test) = 22.336096377905676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7699999999999014 " "
y[1] (analytic) = 0.40448239331507174 " "
y[1] (numeric) = 0.4044823933150831 " "
absolute error = 1.137978600240785500000000000000E-14 " "
relative error = 2.8134193701587320000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4755556962035239 " "
Order of pole (three term test) = 22.345575973992442 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.779999999999901 " "
y[1] (analytic) = 0.4015229328348948 " "
y[1] (numeric) = 0.40152293283490614 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 2.820330776930519000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47854886286017995 " "
Order of pole (three term test) = 22.355117337630663 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.789999999999901 " "
y[1] (analytic) = 0.3985233203960357 " "
y[1] (numeric) = 0.398523320396047 " "
absolute error = 1.126876369994533900000000000000E-14 " "
relative error = 2.827629682686302000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48135061635225823 " "
Order of pole (three term test) = 22.364716652402073 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.799999999999901 " "
y[1] (analytic) = 0.39548385595723873 " "
y[1] (numeric) = 0.3954838559572499 " "
absolute error = 1.115774139748282300000000000000E-14 " "
relative error = 2.821288714927782700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48395983601571835 " "
Order of pole (three term test) = 22.374370078708775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999999006 " "
y[1] (analytic) = 0.3924048434624147 " "
y[1] (numeric) = 0.3924048434624258 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 2.82927961548338000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48637547819748383 " "
Order of pole (three term test) = 22.38407375530895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8199999999999004 " "
y[1] (analytic) = 0.38928659081024747 " "
y[1] (numeric) = 0.3892865908102585 " "
absolute error = 1.104671909502030800000000000000E-14 " "
relative error = 2.8376829194214100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4885965766728903 " "
Order of pole (three term test) = 22.39382380086134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8299999999999 " "
y[1] (analytic) = 0.3861294098234036 " "
y[1] (numeric) = 0.3861294098234146 " "
absolute error = 1.09912079437890500000000000000E-14 " "
relative error = 2.846508881262342000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4906222430321618 " "
Order of pole (three term test) = 22.403616315477716 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8399999999999 " "
y[1] (analytic) = 0.38293361621735084 " "
y[1] (numeric) = 0.38293361621736177 " "
absolute error = 1.093569679255779200000000000000E-14 " "
relative error = 2.8557682923169525000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49245166703576315 " "
Order of pole (three term test) = 22.41344738228281 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8499999999998997 " "
y[1] (analytic) = 0.3796995295687866 " "
y[1] (numeric) = 0.3796995295687975 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 2.865472510245886700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49408411693848486 " "
Order of pole (three term test) = 22.423313068980967 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8599999999998995 " "
y[1] (analytic) = 0.3764274732836807 " "
y[1] (numeric) = 0.3764274732836915 " "
absolute error = 1.082467449009527600000000000000E-14 " "
relative error = 2.8756334907409000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4955189397821316 " "
Order of pole (three term test) = 22.433209429429056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8699999999998993 " "
y[1] (analytic) = 0.37311777456493495 " "
y[1] (numeric) = 0.3731177745649457 " "
absolute error = 1.076916333886401800000000000000E-14 " "
relative error = 2.8862638215027797000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4967555616566965 " "
Order of pole (three term test) = 22.44313250521484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.879999999999899 " "
y[1] (analytic) = 0.36977076437966316 " "
y[1] (numeric) = 0.3697707643796739 " "
absolute error = 1.07136521876327600000000000000E-14 " "
relative error = 2.8973767587078597000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.497793487929918 " "
Order of pole (three term test) = 22.45307832724032 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.889999999999899 " "
y[1] (analytic) = 0.3663867774260947 " "
y[1] (numeric) = 0.3663867774261053 " "
absolute error = 1.060262988517024500000000000000E-14 " "
relative error = 2.89383529603738030000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4986323034451255 " "
Order of pole (three term test) = 22.463042917309288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8999999999998987 " "
y[1] (analytic) = 0.3629661521001049 " "
y[1] (numeric) = 0.36296615210011546 " "
absolute error = 1.054711873393898700000000000000E-14 " "
relative error = 2.905813303227824000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499271672687297 " "
Order of pole (three term test) = 22.473022289718575 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9099999999998984 " "
y[1] (analytic) = 0.3595092304613759 " "
y[1] (numeric) = 0.3595092304613864 " "
absolute error = 1.04916075827077300000000000000E-14 " "
relative error = 2.9183138272258910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4997113399172604 " "
Order of pole (three term test) = 22.483012452852275 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9199999999998982 " "
y[1] (analytic) = 0.3560163581991908 " "
y[1] (numeric) = 0.3560163581992012 " "
absolute error = 1.038058528024521400000000000000E-14 " "
relative error = 2.9157607624415070000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49995112927398605 " "
Order of pole (three term test) = 22.49300941077834 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.929999999999898 " "
y[1] (analytic) = 0.35248788459786506 " "
y[1] (numeric) = 0.3524878845978754 " "
absolute error = 1.032507412901395600000000000000E-14 " "
relative error = 2.929199720096278000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49999094484492834 " "
Order of pole (three term test) = 22.50300916484689 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.939999999999898 " "
y[1] (analytic) = 0.34892416250181846 " "
y[1] (numeric) = 0.3489241625018287 " "
absolute error = 1.026956297778269800000000000000E-14 " "
relative error = 2.9432077458175965000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4998307707043898 " "
Order of pole (three term test) = 22.51300771528962 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9499999999998976 " "
y[1] (analytic) = 0.3453255482802909 " "
y[1] (numeric) = 0.34532554828030104 " "
absolute error = 1.015854067532018200000000000000E-14 " "
relative error = 2.9417286748430166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994706709198907 " "
Order of pole (three term test) = 22.523001062819663 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9599999999998974 " "
y[1] (analytic) = 0.34169240179170557 " "
y[1] (numeric) = 0.34169240179171567 " "
absolute error = 1.010302952408892500000000000000E-14 " "
relative error = 2.956761540822232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4989107895265439 " "
Order of pole (three term test) = 22.532985210231264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.969999999999897 " "
y[1] (analytic) = 0.3380250863476838 " "
y[1] (numeric) = 0.33802508634769385 " "
absolute error = 1.004751837285766700000000000000E-14 " "
relative error = 2.9724179590987665000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4981513504694417 " "
Order of pole (three term test) = 22.542956163998568 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.979999999999897 " "
y[1] (analytic) = 0.33432396867671393 " "
y[1] (numeric) = 0.33432396867672387 " "
absolute error = 9.936496070395151000000000000000E-15 " "
relative error = 2.972115971739851000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4971926575140811 " "
Order of pole (three term test) = 22.552909935873007 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9899999999998967 " "
y[1] (analytic) = 0.3305894188874788 " "
y[1] (numeric) = 0.3305894188874886 " "
absolute error = 9.825473767932635000000000000000E-15 " "
relative error = 2.972107758620335000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4960350941248619 " "
Order of pole (three term test) = 22.562842544478556 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999998965 " "
y[1] (analytic) = 0.3268218104318451 " "
y[1] (numeric) = 0.3268218104318549 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 2.989385134300512000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.494679123311706 " "
Order of pole (three term test) = 22.572750016904205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999897 " "
y[1] (analytic) = 0.3230215200675187 " "
y[1] (numeric) = 0.32302152006752854 " "
absolute error = 9.825473767932635000000000000000E-15 " "
relative error = 3.0417396852936895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4931252874448588 " "
Order of pole (three term test) = 22.582628390293078 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0199999999998965 " "
y[1] (analytic) = 0.3191889278203694 " "
y[1] (numeric) = 0.31918892782037916 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 3.0608714040982150000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4913742080379502 " "
Order of pole (three term test) = 22.59247371342753 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.029999999999896 " "
y[1] (analytic) = 0.315324416946428 " "
y[1] (numeric) = 0.31532441694643765 " "
absolute error = 9.658940314238862000000000000000E-15 " "
relative error = 3.063175509139169000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4894265854993948 " "
Order of pole (three term test) = 22.602282048309576 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999896 " "
y[1] (analytic) = 0.31142837389356137 " "
y[1] (numeric) = 0.311428373893571 " "
absolute error = 9.603429163007604000000000000000E-15 " "
relative error = 3.0836718706593580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4872831988522408 " "
Order of pole (three term test) = 22.612049471736047 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999896 " "
y[1] (analytic) = 0.3075011882628282 " "
y[1] (numeric) = 0.30750118826283773 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 3.1050019890054950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48494490542256846 " "
Order of pole (three term test) = 22.621772076867792 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999896 " "
y[1] (analytic) = 0.3035432527695189 " "
y[1] (numeric) = 0.3035432527695283 " "
absolute error = 9.43689570931383100000000000000E-15 " "
relative error = 3.1089130208666793000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48241264049657295 " "
Order of pole (three term test) = 22.6314459747924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0699999999998955 " "
y[1] (analytic) = 0.2995549632038845 " "
y[1] (numeric) = 0.2995549632038938 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 3.1132428276622800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4796874169464618 " "
Order of pole (three term test) = 22.641067296079676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.079999999999895 " "
y[1] (analytic) = 0.295536718391558 " "
y[1] (numeric) = 0.2955367183915672 " "
absolute error = 9.2148511043887990000000000000E-15 " "
relative error = 3.118005489991264000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4767703248253186 " "
Order of pole (three term test) = 22.65063219232939 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999895 " "
y[1] (analytic) = 0.2914889201536721 " "
y[1] (numeric) = 0.2914889201536812 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 3.123216071858502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47366253093109845 " "
Order of pole (three term test) = 22.660136837710585 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999895 " "
y[1] (analytic) = 0.2874119732666775 " "
y[1] (numeric) = 0.2874119732666865 " "
absolute error = 8.992806499463768000000000000000E-15 " "
relative error = 3.1288906990383870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47036527833992203 " "
Order of pole (three term test) = 22.66957743049182 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999895 " "
y[1] (analytic) = 0.28330628542186537 " "
y[1] (numeric) = 0.2833062854218743 " "
absolute error = 8.93729534823251000000000000000E-15 " "
relative error = 3.154640686818569000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4668798859088631 " "
Order of pole (three term test) = 22.678950194561853 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999894 " "
y[1] (analytic) = 0.27917226718459887 " "
y[1] (numeric) = 0.2791722671846077 " "
absolute error = 8.826273045769994000000000000000E-15 " "
relative error = 3.1615866198965030000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4632077477484229 " "
Order of pole (three term test) = 22.688251380940045 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.129999999999894 " "
y[1] (analytic) = 0.2750103319532567 " "
y[1] (numeric) = 0.2750103319532654 " "
absolute error = 8.715250743307479000000000000000E-15 " "
relative error = 3.169063024435316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45935033266490416 " "
Order of pole (three term test) = 22.697477269275836 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999894 " "
y[1] (analytic) = 0.2708208959178937 " "
y[1] (numeric) = 0.2708208959179023 " "
absolute error = 8.604228440844963000000000000000E-15 " "
relative error = 3.1770917866889986000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.455309183572909 " "
Order of pole (three term test) = 22.70662416933692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999894 " "
y[1] (analytic) = 0.26660437801862225 " "
y[1] (numeric) = 0.2666043780186308 " "
absolute error = 8.548717289613705000000000000000E-15 " "
relative error = 3.2065179698649130000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4510859168781927 " "
Order of pole (three term test) = 22.715688422485215 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.159999999999894 " "
y[1] (analytic) = 0.26236119990371853 " "
y[1] (numeric) = 0.26236119990372697 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 3.216060526574684000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4466822218311239 " "
Order of pole (three term test) = 22.724666403140326 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.169999999999893 " "
y[1] (analytic) = 0.258091785887458 " "
y[1] (numeric) = 0.2580917858874664 " "
absolute error = 8.382183835919932000000000000000E-15 " "
relative error = 3.247753045335204400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44209985985100625 " "
Order of pole (three term test) = 22.73355452022969 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999893 " "
y[1] (analytic) = 0.25379656290768454 " "
y[1] (numeric) = 0.2537965629076928 " "
absolute error = 8.271161533457416000000000000000E-15 " "
relative error = 3.258973028908178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43734066382153436 " "
Order of pole (three term test) = 22.74234921862498 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.189999999999893 " "
y[1] (analytic) = 0.24947596048311674 " "
y[1] (numeric) = 0.2494759604831249 " "
absolute error = 8.1601392309949010000000000000E-15 " "
relative error = 3.2709120410610210000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4324065373576649 " "
Order of pole (three term test) = 22.7510469805641 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999893 " "
y[1] (analytic) = 0.24513041067039654 " "
y[1] (numeric) = 0.2451304106704046 " "
absolute error = 8.076872504148014000000000000000E-15 " "
relative error = 3.294928802207333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.427299454044196 " "
Order of pole (three term test) = 22.75964432705825 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2099999999998925 " "
y[1] (analytic) = 0.24076034802088397 " "
y[1] (numeric) = 0.24076034802089197 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 3.320150449611307000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4220214566463595 " "
Order of pole (three term test) = 22.768137819283446 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.219999999999892 " "
y[1] (analytic) = 0.2363662095372023 " "
y[1] (numeric) = 0.2363662095372102 " "
absolute error = 7.882583474838611000000000000000E-15 " "
relative error = 3.334902856999935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41657465629274226 " "
Order of pole (three term test) = 22.776524059956056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999892 " "
y[1] (analytic) = 0.23194843462953807 " "
y[1] (numeric) = 0.23194843462954587 " "
absolute error = 7.799316747991725000000000000000E-15 " "
relative error = 3.362521829668128000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4109612316308627 " "
Order of pole (three term test) = 22.784799694691625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999892 " "
y[1] (analytic) = 0.2275074650717006 " "
y[1] (numeric) = 0.2275074650717083 " "
absolute error = 7.688294445529209000000000000000E-15 " "
relative error = 3.37935919733719000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40518342795574114 " "
Order of pole (three term test) = 22.7929614133466 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.249999999999892 " "
y[1] (analytic) = 0.2230437449569449 " "
y[1] (numeric) = 0.2230437449569525 " "
absolute error = 7.605027718682322000000000000000E-15 " "
relative error = 3.4096574733132970000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39924355631181047 " "
Order of pole (three term test) = 22.80100595134233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999891 " "
y[1] (analytic) = 0.21855772065356266 " "
y[1] (numeric) = 0.21855772065357018 " "
absolute error = 7.521760991835436000000000000000E-15 " "
relative error = 3.441544398130977000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3931439925685316 " "
Order of pole (three term test) = 22.80893009097088 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999891 " "
y[1] (analytic) = 0.21404984076024589 " "
y[1] (numeric) = 0.21404984076025332 " "
absolute error = 7.438494264988549000000000000000E-15 " "
relative error = 3.4751225408853714000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38688717647007553 " "
Order of pole (three term test) = 22.816730662682048 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.279999999999891 " "
y[1] (analytic) = 0.20952055606122738 " "
y[1] (numeric) = 0.2095205560612347 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 3.4972568325872305000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.380475610659458 " "
Order of pole (three term test) = 22.82440454635118 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999890 " "
y[1] (analytic) = 0.20497031948120262 " "
y[1] (numeric) = 0.20497031948120986 " "
absolute error = 7.244205235679146000000000000000E-15 " "
relative error = 3.5342703538809170000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3739118596775175 " "
Order of pole (three term test) = 22.831948672527098 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999890 " "
y[1] (analytic) = 0.20039958604003777 " "
y[1] (numeric) = 0.20039958604004493 " "
absolute error = 7.16093850883226000000000000000E-15 " "
relative error = 3.5733299905128435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36719854893713066 " "
Order of pole (three term test) = 22.839360023659932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.30999999999989 " "
y[1] (analytic) = 0.19580881280726803 " "
y[1] (numeric) = 0.19580881280727508 " "
absolute error = 7.049916206369744000000000000000E-15 " "
relative error = 3.600408023161287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36033836367308475 " "
Order of pole (three term test) = 22.846635635308036 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.31999999999989 " "
y[1] (analytic) = 0.19119845885639103 " "
y[1] (numeric) = 0.19119845885639797 " "
absolute error = 6.938893903907228000000000000000E-15 " "
relative error = 3.629157863201724000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3533340478680168 " "
Order of pole (three term test) = 22.85377259732376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.32999999999989 " "
y[1] (analytic) = 0.1865689852189599 " "
y[1] (numeric) = 0.18656898521896675 " "
absolute error = 6.855627177060342000000000000000E-15 " "
relative error = 3.674580300157867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3461884031548596 " "
Order of pole (three term test) = 22.860768055017466 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.33999999999989 " "
y[1] (analytic) = 0.1819208548384805 " "
y[1] (numeric) = 0.18192085483848727 " "
absolute error = 6.772360450213455000000000000000E-15 " "
relative error = 3.7226960351666855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3389042876962244 " "
Order of pole (three term test) = 22.867619210299345 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3499999999998895 " "
y[1] (analytic) = 0.17725453252411746 " "
y[1] (numeric) = 0.17725453252412415 " "
absolute error = 6.689093723366568000000000000000E-15 " "
relative error = 3.773722244567394600000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33148461504117416 " "
Order of pole (three term test) = 22.874323322798624 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.359999999999890 " "
y[1] (analytic) = 0.17257048490421364 " "
y[1] (numeric) = 0.17257048490422022 " "
absolute error = 6.5780714209040530000000000000000E-15 " "
relative error = 3.8118171972195910000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3239323529598432 " "
Order of pole (three term test) = 22.880877710959698 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.369999999999889 " "
y[1] (analytic) = 0.16786918037962767 " "
y[1] (numeric) = 0.16786918037963414 " "
absolute error = 6.467049118441537000000000000000E-15 " "
relative error = 3.852433843911451000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31625052225636907 " "
Order of pole (three term test) = 22.887279753114687 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.379999999999889 " "
y[1] (analytic) = 0.16315108907689424 " "
y[1] (numeric) = 0.1631510890769006 " "
absolute error = 6.356026815979021000000000000000E-15 " "
relative error = 3.895791840521139500000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3084421955606097 " "
Order of pole (three term test) = 22.893526888532097 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.389999999999889 " "
y[1] (analytic) = 0.1584166828012119 " "
y[1] (numeric) = 0.15841668280121818 " "
absolute error = 6.2727600891321340000000000000000E-15 " "
relative error = 3.959658779753307000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3005104960991338 " "
Order of pole (three term test) = 22.899616618441037 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3999999999998884 " "
y[1] (analytic) = 0.1536664349892629 " "
y[1] (numeric) = 0.1536664349892691 " "
absolute error = 6.189493362285248000000000000000E-15 " "
relative error = 4.027875939672657700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2924585964459716 " "
Order of pole (three term test) = 22.905546507030763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.409999999999888 " "
y[1] (analytic) = 0.14890082066186994 " "
y[1] (numeric) = 0.14890082066187602 " "
absolute error = 6.078471059822732000000000000000E-15 " "
relative error = 4.082228044683496000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2842897172536269 " "
Order of pole (three term test) = 22.91131418242489 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.419999999999888 " "
y[1] (analytic) = 0.1441203163764944 " "
y[1] (numeric) = 0.14412031637650036 " "
absolute error = 5.9674487573602160000000000000000E-15 " "
relative error = 4.14060203821027000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27600712596485977 " "
Order of pole (three term test) = 22.91691733763015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.429999999999888 " "
y[1] (analytic) = 0.13932540017958103 " "
y[1] (numeric) = 0.13932540017958692 " "
absolute error = 5.88418203051333000000000000000E-15 " "
relative error = 4.223337613191145400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2676141355057526 " "
Order of pole (three term test) = 22.922353731459204 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.439999999999888 " "
y[1] (analytic) = 0.13451655155875383 " "
y[1] (numeric) = 0.13451655155875963 " "
absolute error = 5.800915303666443000000000000000E-15 " "
relative error = 4.3124174954282357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2591141029605842 " "
Order of pole (three term test) = 22.927621189426965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.449999999999887 " "
y[1] (analytic) = 0.12969425139486754 " "
y[1] (numeric) = 0.12969425139487323 " "
absolute error = 5.689893001203927000000000000000E-15 " "
relative error = 4.387158983539262700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25051042822904 " "
Order of pole (three term test) = 22.932717604620496 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.459999999999887 " "
y[1] (analytic) = 0.12485898191391992 " "
y[1] (numeric) = 0.12485898191392551 " "
absolute error = 5.592748486549226000000000000000E-15 " "
relative error = 4.479252033630204000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24180655266629875 " "
Order of pole (three term test) = 22.937640938541673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999887 " "
y[1] (analytic) = 0.12001122663882971 " "
y[1] (numeric) = 0.1200112266388352 " "
absolute error = 5.495603971894525000000000000000E-15 " "
relative error = 4.579241564152481400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23300595770653532 " "
Order of pole (three term test) = 22.94238922192257 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999887 " "
y[1] (analytic) = 0.11515147034108465 " "
y[1] (numeric) = 0.11515147034109004 " "
absolute error = 5.384581669432009000000000000000E-15 " "
relative error = 4.676085901015938000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22411216347039414 " "
Order of pole (three term test) = 22.946960555513144 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4899999999998865 " "
y[1] (analytic) = 0.11028019899226472 " "
y[1] (numeric) = 0.11028019899227 " "
absolute error = 5.2735593669694940000000000000000E-15 " "
relative error = 4.781963956502646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21512872735698702 " "
Order of pole (three term test) = 22.95135311084091 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.499999999999886 " "
y[1] (analytic) = 0.10539789971544541 " "
y[1] (numeric) = 0.10539789971545059 " "
absolute error = 5.176414852314792000000000000000E-15 " "
relative error = 4.91130740393323000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20605924262098183 " "
Order of pole (three term test) = 22.95556513094229 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999886 " "
y[1] (analytic) = 0.10050506073648587 " "
y[1] (numeric) = 0.10050506073649093 " "
absolute error = 5.065392549852277000000000000000E-15 " "
relative error = 5.039937802866689000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19690733693534812 " "
Order of pole (three term test) = 22.95959493106542 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999886 " "
y[1] (analytic) = 9.5602171335206600E-2 " "
y[1] (numeric) = 9.56021713352115600E-2 " "
absolute error = 4.9682480351975755000000000000000E-15 " "
relative error = 5.196794137423488000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1876766709403368 " "
Order of pole (three term test) = 22.96344089934398 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999886 " "
y[1] (analytic) = 9.06897217964620400E-2 " "
y[1] (numeric) = 9.0689721796466890E-2 " "
absolute error = 4.85722573273506000000000000000E-15 " "
relative error = 5.3558723486177340000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1783709367792714 " "
Order of pole (three term test) = 22.96710149744192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.5399999999998855 " "
y[1] (analytic) = 8.57682033611123400E-2 " "
y[1] (numeric) = 8.57682033611170800E-2 " "
absolute error = 4.746203430272544000000000000000E-15 " "
relative error = 5.53375638555639000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1689938566217417 " "
Order of pole (three term test) = 22.970575261168833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.549999999999885 " "
y[1] (analytic) = 8.08381081768997800E-2 " "
y[1] (numeric) = 8.08381081769044200E-2 " "
absolute error = 4.649058915617843000000000000000E-15 " "
relative error = 5.751073374260821000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15954918117478473 " "
Order of pole (three term test) = 22.97386080106552 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999885 " "
y[1] (analytic) = 7.5899929249234400E-2 " "
y[1] (numeric) = 7.58999292492389500E-2 " "
absolute error = 4.551914400963142000000000000000E-15 " "
relative error = 5.997257765571707000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15004068818265182 " "
Order of pole (three term test) = 22.97695680295985 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999885 " "
y[1] (analytic) = 7.09541603918938400E-2 " "
y[1] (numeric) = 7.09541603918982800E-2 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 6.258818473747984000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14047218091576172 " "
Order of pole (three term test) = 22.979862028492317 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999885 " "
y[1] (analytic) = 6.60012961776423700E-2 " "
y[1] (numeric) = 6.60012961776467000E-2 " "
absolute error = 4.3298697960381105000000000000000E-15 " "
relative error = 6.5602799441760570000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13084748664944282 " "
Order of pole (three term test) = 22.982575315611484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999884 " "
y[1] (analytic) = 6.10418318887740100E-2 " "
y[1] (numeric) = 6.104183188877823000E-2 " "
absolute error = 4.225786387479502000000000000000E-15 " "
relative error = 6.922771248378363000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12117045513307395 " "
Order of pole (three term test) = 22.985095579038653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.599999999999884 " "
y[1] (analytic) = 5.607626346758481000E-2 " "
y[1] (numeric) = 5.60762634675889300E-2 " "
absolute error = 4.121702978920893700000000000000E-15 " "
relative error = 7.35017407374774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11144495705023645 " "
Order of pole (three term test) = 22.987421810702063 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999884 " "
y[1] (analytic) = 5.1105087466778900E-2 " "
y[1] (numeric) = 5.110508746678293000E-2 " "
absolute error = 4.0245584642661925000000000000000E-15 " "
relative error = 7.875064232856221000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10167488247049164 " "
Order of pole (three term test) = 22.98955308014005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999884 " "
y[1] (analytic) = 4.61288009998137570E-2 " "
y[1] (numeric) = 4.61288009998176700E-2 " "
absolute error = 3.913536161803677000000000000000E-15 " "
relative error = 8.483932113950843000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.18641392934058800E-2 " "
Order of pole (three term test) = 22.991488534873277 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6299999999998835 " "
y[1] (analytic) = 4.11479016911891700E-2 " "
y[1] (numeric) = 4.11479016911929800E-2 " "
absolute error = 3.809452753245068400000000000000E-15 " "
relative error = 9.257951430511877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.20166516854416100E-2 " "
Order of pole (three term test) = 22.99322740074565 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.639999999999883 " "
y[1] (analytic) = 3.616288762668526400E-2 " "
y[1] (numeric) = 3.61628876266889670E-2 " "
absolute error = 3.70536934468646000000000000000E-15 " "
relative error = 1.02463314958073190000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.21363585103437800E-2 " "
Order of pole (three term test) = 22.994768982234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999883 " "
y[1] (analytic) = 3.117425730355433700E-2 " "
y[1] (numeric) = 3.117425730355793400E-2 " "
absolute error = 3.597816489175898000000000000000E-15 " "
relative error = 1.154098541672616700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.22272117536471800E-2 " "
Order of pole (three term test) = 22.996112662726283 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.659999999999883 " "
y[1] (analytic) = 2.618250958067151000E-2 " "
y[1] (numeric) = 2.618250958067500E-2 " "
absolute error = 3.4937330806172895000000000000000E-15 " "
relative error = 1.33437670283387900000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.22931749419342300E-2 " "
Order of pole (three term test) = 22.997257904768226 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999883 " "
y[1] (analytic) = 2.1188143628649297E-2 " "
y[1] (numeric) = 2.118814362865268400E-2 " "
absolute error = 3.3861802251067274000000000000000E-15 " "
relative error = 1.598148608228303600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.23382215574775200E-2 " "
Order of pole (three term test) = 22.998204250278285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6799999999998825 " "
y[1] (analytic) = 1.619165887992095300E-2 " "
y[1] (numeric) = 1.619165887992423700E-2 " "
absolute error = 3.282096816548119000000000000000E-15 " "
relative error = 2.027029374129293600000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.23663334488999300E-2 " "
Order of pole (three term test) = 22.99895132073086 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.689999999999882 " "
y[1] (analytic) = 1.11935549787976210E-2 " "
y[1] (numeric) = 1.119355497880079600E-2 " "
absolute error = 3.174543961037557000000000000000E-15 " "
relative error = 2.836046248980462000000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.238149923848815000E-2 " "
Order of pole (three term test) = 22.999498817307753 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999882 " "
y[1] (analytic) = 6.194331731504339000E-3 " "
y[1] (numeric) = 6.194331731507406000E-3 " "
absolute error = 3.0678584672649833000000000000000E-15 " "
relative error = 4.95268674692036800000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.238771272679697600E-2 " "
Order of pole (three term test) = 22.999846521017595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999882 " "
y[1] (analytic) = 1.194489056199833000E-3 " "
y[1] (numeric) = 1.1944890562027940000E-3 " "
absolute error = 2.9611729734924097000000000000000E-15 " "
relative error = 2.4790289690163710000000000E-10 "%"
Correct digits = 13
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.388971295182382200E-3 " "
Order of pole (three term test) = 22.99999429278358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.719999999999882 " "
y[1] (analytic) = -3.805473067014889000E-3 " "
y[1] (numeric) = -3.805473067012034000E-3 " "
absolute error = 2.8549211605888300000000000000000E-15 " "
relative error = 7.50214522692261100000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.610725693097753000E-3 " "
Order of pole (three term test) = 22.999942073498946 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999881 " "
y[1] (analytic) = -8.805054646094126000E-3 " "
y[1] (numeric) = -8.805054646091378000E-3 " "
absolute error = 2.7478019859472624000000000000000E-15 " "
relative error = 3.120709747288362700000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.760737849257564800E-2 " "
Order of pole (three term test) = 22.999689884050717 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.739999999999881 " "
y[1] (analytic) = -1.380375572704627400E-2 " "
y[1] (numeric) = -1.380375572704363500E-2 " "
absolute error = 2.6402491304367004000000000000000E-15 " "
relative error = 1.91270345741018170000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.75969885754184200E-2 " "
Order of pole (three term test) = 22.99923782531131 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.749999999999881 " "
y[1] (analytic) = -1.88010764439288100E-2 " "
y[1] (numeric) = -1.880107644392628000E-2 " "
absolute error = 2.5326962749261384000000000000000E-15 " "
relative error = 1.347101737753951500000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.75755602307859870E-2 " "
Order of pole (three term test) = 22.998586078098196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999880 " "
y[1] (analytic) = -2.379651706883446600E-2 " "
y[1] (numeric) = -2.37965170688320400E-2 " "
absolute error = 2.4251434194155763000000000000000E-15 " "
relative error = 1.019116962537223200000000000E-11 "%"
Correct digits = 14
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.75391021630620300E-2 " "
Order of pole (three term test) = 22.99773490310157 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999880 " "
y[1] (analytic) = -2.8789578061863600E-2 " "
y[1] (numeric) = -2.878957806186128000E-2 " "
absolute error = 2.3175905639050143000000000000000E-15 " "
relative error = 8.050102571579657000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.74836290883190200E-2 " "
Order of pole (three term test) = 22.99668464078008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.77999999999988 " "
y[1] (analytic) = -3.377976012107778400E-2 " "
y[1] (numeric) = -3.37797601210755750E-2 " "
absolute error = 2.213507155346405900000000000000E-15 " "
relative error = 6.55276161646047000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.74051633283789300E-2 " "
Order of pole (three term test) = 22.99543571122465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.78999999999988 " "
y[1] (analytic) = -3.87665642324295730E-2 " "
y[1] (numeric) = -3.87665642324274640E-2 " "
absolute error = 2.1094237467877974000000000000000E-15 " "
relative error = 5.441348204448800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.72997364018310300E-2 " "
Order of pole (three term test) = 22.993988613990457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.79999999999988 " "
y[1] (analytic) = -4.374949171966347500E-2 " "
y[1] (numeric) = -4.37494917196614700E-2 " "
absolute error = 2.005340338229189000000000000000E-15 " "
relative error = 4.583688311349858300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.71633906113717700E-2 " "
Order of pole (three term test) = 22.99234392789709 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.80999999999988 " "
y[1] (analytic) = -4.8728044294183200E-2 " "
y[1] (numeric) = -4.8728044294181305E-2 " "
absolute error = 1.8943180357666733000000000000000E-15 " "
relative error = 3.887531427139183000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.69921806268309900E-2 " "
Order of pole (three term test) = 22.99050231079706 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8199999999998795 " "
y[1] (analytic) = -5.370172410488008000E-2 " "
y[1] (numeric) = -5.370172410487829000E-2 " "
absolute error = 1.790234627208065000000000000000E-15 " "
relative error = 3.3336632241298560000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10678217506325133 " "
Order of pole (three term test) = 22.98846449931265 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.829999999999880 " "
y[1] (analytic) = -5.86700337879177500E-2 " "
y[1] (numeric) = -5.86700337879160600E-2 " "
absolute error = 1.6792123247455493000000000000000E-15 " "
relative error = 2.8621294659819320000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11652945805338971 " "
Order of pole (three term test) = 22.986231308541292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.839999999999879 " "
y[1] (analytic) = -6.36324765164681700E-2 " "
y[1] (numeric) = -6.36324765164665900E-2 " "
absolute error = 1.582067810090848000000000000000E-15 " "
relative error = 2.4862584276150357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1262301308140122 " "
Order of pole (three term test) = 22.98380363172953 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.849999999999879 " "
y[1] (analytic) = -6.85885560503938200E-2 " "
y[1] (numeric) = -6.85885560503923600E-2 " "
absolute error = 1.4710455076283324000000000000000E-15 " "
relative error = 2.144738994866019000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13588031320535493 " "
Order of pole (three term test) = 22.981182439915685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.859999999999879 " "
y[1] (analytic) = -7.35377767858713800E-2 " "
y[1] (numeric) = -7.35377767858700100E-2 " "
absolute error = 1.3739009929736312000000000000000E-15 " "
relative error = 1.8682928054436307000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.145476145283129 " "
Order of pole (three term test) = 22.978368781541562 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.869999999999878 " "
y[1] (analytic) = -7.84796438049516300E-2 " "
y[1] (numeric) = -7.84796438049503600E-2 " "
absolute error = 1.2628786905111156000000000000000E-15 " "
relative error = 1.6091799469041868000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15501378884244582 " "
Order of pole (three term test) = 22.975363782032993 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.879999999999878 " "
y[1] (analytic) = -8.34136629250508600E-2 " "
y[1] (numeric) = -8.3413662925049700E-2 " "
absolute error = 1.1518563880485999000000000000E-15 " "
relative error = 1.3808965433919020000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16448942895304863 " "
Order of pole (three term test) = 22.972168643349704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.889999999999878 " "
y[1] (analytic) = -8.83393407483687400E-2 " "
y[1] (numeric) = -8.83393407483676900E-2 " "
absolute error = 1.0547118733938987000000000000000E-15 " "
relative error = 1.1939322440702896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17389927548523343 " "
Order of pole (three term test) = 22.968784643504573 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.899999999999878 " "
y[1] (analytic) = -9.32561847112276600E-2 " "
y[1] (numeric) = -9.32561847112267100E-2 " "
absolute error = 9.5756735873919750000000000000000E-16 " "
relative error = 1.0268137836695246000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1832395646258501 " "
Order of pole (three term test) = 22.965213136052416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.909999999999878 " "
y[1] (analytic) = -9.8163703133328700E-2 " "
y[1] (numeric) = -9.81637031333278400E-2 " "
absolute error = 8.6042284408449630000000000000000E-16 " "
relative error = 8.7651832257779220000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19250656038377809 " "
Order of pole (three term test) = 22.961455549548607 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.919999999999877 " "
y[1] (analytic) = -0.1030614052669192 " "
y[1] (numeric) = -0.10306140526691845 " "
absolute error = 7.4940054162198070000000000000000E-16 " "
relative error = 7.271398441357410000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20169655608427273 " "
Order of pole (three term test) = 22.95751338697763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999877 " "
y[1] (analytic) = -0.10794880134586723 " "
y[1] (numeric) = -0.1079488013458666 " "
absolute error = 6.383782391594650000000000000000E-16 " "
relative error = 5.9137130862074650000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21080587585158486 " "
Order of pole (three term test) = 22.95338822515196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999877 " "
y[1] (analytic) = -0.11282540263463772 " "
y[1] (numeric) = -0.11282540263463718 " "
absolute error = 5.4123372450476380000000000000000E-16 " "
relative error = 4.797091008462340000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21983087607926413 " "
Order of pole (three term test) = 22.949081714081323 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999877 " "
y[1] (analytic) = -0.1176907214771656 " "
y[1] (numeric) = -0.11769072147716517 " "
absolute error = 4.30211422042248160000000000000000E-16 " "
relative error = 3.655440434407720000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22876794688755092 " "
Order of pole (three term test) = 22.94459557631274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9599999999998765 " "
y[1] (analytic) = -0.12254427134562103 " "
y[1] (numeric) = -0.12254427134562071 " "
absolute error = 3.1918911957973250000000000000000E-16 " "
relative error = 2.60468413639262540000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23761351356728125 " "
Order of pole (three term test) = 22.93993160624148 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.969999999999876 " "
y[1] (analytic) = -0.12738556688906177 " "
y[1] (numeric) = -0.12738556688906158 " "
absolute error = 1.9428902930940240000000000000000E-16 " "
relative error = 1.5252044172210330000000000000E-13 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2463640380097228 " "
Order of pole (three term test) = 22.93509166939341 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.979999999999876 " "
y[1] (analytic) = -0.1322141239819679 " "
y[1] (numeric) = -0.13221412398196783 " "
absolute error = 8.32667268468867400000000000000000E-17 " "
relative error = 6.29786926987037400000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25501602012177016 " "
Order of pole (three term test) = 22.930077701678723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.989999999999876 " "
y[1] (analytic) = -0.13702945977265393 " "
y[1] (numeric) = -0.13702945977265393 " "
absolute error = 0.0 " "
relative error = 0.0 "%"
Correct digits = 16
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26356599922593726 " "
Order of pole (three term test) = 22.924891708617658 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.999999999999876 " "
y[1] (analytic) = -0.1418310927315535 " "
y[1] (numeric) = -0.14183109273155362 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 7.82778305689639900000000000000E-14 "%"
Correct digits = 17
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27201055544458075 " "
Order of pole (three term test) = 22.919535764538292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"diff ( y , x , 1 ) = sin ( x ) / 2.0 ; "
Iterations = 1001
"Total Elapsed Time "= 28 Seconds
"Elapsed Time(since restart) "= 28 Seconds
"Time to Timeout "= 9 Minutes 31 Seconds
Percent Done = 100.19999999999875 "%"
(%o224) true
(%o224) diffeq.max