(%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(x-cos(x)+2.0)
(%o210) exact_soln_y(x) := block(x - cos(x) + 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_0D0[1],
array_tmp3[1]:array_const_1[1]+array_tmp2[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,
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_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,
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_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,
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_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,
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_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,
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_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))),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_tmp2 : array_tmp1 + array_const_0D0 ,
1 1 1
array_tmp3 : array_const_1 + array_tmp2 ,
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
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_tmp2 : array_tmp1 , array_tmp3 : array_tmp2 ,
2 2 2 2
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
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_tmp2 : array_tmp1 , array_tmp3 : array_tmp2 ,
3 3 3 3
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
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_tmp2 : array_tmp1 , array_tmp3 : array_tmp2 ,
4 4 4 4
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
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_tmp2 : array_tmp1 , array_tmp3 : array_tmp2 ,
5 5 5 5
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
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 : ----------------------------, array_tmp2 : array_tmp1 ,
kkk kkk - 1 kkk kkk
array_tmp3 : array_tmp2 , order_d : 1,
kkk kkk
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))), order_d : 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(x-cos(x)+2.0)
(%o221) exact_soln_y(x) := block(x - cos(x) + 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_0),array_const_0[1]: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/add_sin_cpostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = sin ( x ) + 1 , 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," (2.0 - cos(x) + x) "),
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 ) + 1 , 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,
"2014-01-08T19:37:33-06:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"add_sin_c"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( x ) + 1 , 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,
"add_sin_c diffeq.max"),
logitem_str(html_log_file,
"add_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_0), array_const_0 : 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/add_sin_cpostode.ode#################"),
omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) + 1 , 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, " (2.0 - cos(x) + x) "), 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 ) + 1 , 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,
"2014-01-08T19:37:33-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "add_sin_c"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( x ) + 1 , 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, "add_sin_c diffeq.max"),
logitem_str(html_log_file,
"add_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_0D0 in translation.
warning: encountered undefined variable array_tmp2 in translation.
warning: encountered undefined variable array_const_1 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_0 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/add_sin_cpostode.ode#################"
"diff ( y , x , 1 ) = sin ( x ) + 1 , 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("
" (2.0 - cos(x) + x) "
"));"
"/* 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 = 7.0336765106047830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-184 ""
estimated_step_error = 7.0336765106047830000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 4.720220108205835400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 ""
estimated_step_error = 4.720220108205835400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 3.167685696308653000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 ""
estimated_step_error = 3.167685696308653000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 2.125797353565159800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
estimated_step_error = 2.125797353565159800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.426597740454381400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
estimated_step_error = 1.426597740454381400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
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 = 9.5737257852944160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-145 ""
estimated_step_error = 9.5737257852944160000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 6.424805746319334000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-137 ""
estimated_step_error = 6.424805746319334000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 4.3115968758362730000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 ""
estimated_step_error = 4.3115968758362730000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 2.8934404978658110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 ""
estimated_step_error = 2.8934404978658110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.941723929160342500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
estimated_step_error = 1.941723929160342500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
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 = 1.3030271028561502000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
estimated_step_error = 1.3030271028561502000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
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 = 8.74390625797285500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-98 ""
estimated_step_error = 8.74390625797285500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 5.867183714893498000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-90 ""
estimated_step_error = 5.867183714893498000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 3.9363903937920640000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 ""
estimated_step_error = 3.9363903937920640000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 2.640311261380988700000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
estimated_step_error = 2.640311261380988700000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.7700631832136554000000000000000000000000000000000000000000000000000000000000000000E-66 ""
estimated_step_error = 1.7700631832136554000000000000000000000000000000000000000000000000000000000000000000E-66 ""
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 = 1.18542629069726010000000000000000000000000000000000000000000000000000000000E-58 ""
estimated_step_error = 1.18542629069726010000000000000000000000000000000000000000000000000000000000E-58 ""
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 = 7.922454942106403000000000000000000000000000000000000000000000000000E-51 ""
estimated_step_error = 7.922454942106403000000000000000000000000000000000000000000000000000E-51 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = -5. " "
y[1] (analytic) = -3.283662185463226 " "
y[1] (numeric) = -3.283662185463226 " "
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) = -3.2640589195454277 " "
y[1] (numeric) = -3.2640589195454273 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 1.360542872528505400000000000000E-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) = -3.2444282479640565 " "
y[1] (numeric) = -3.244428247964055 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.10632483669876900000000000000E-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 = 0.25501602012187713 " "
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) = -3.2247711337782445 " "
y[1] (numeric) = -3.224771133778243 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.1313556041084400000000000000E-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 = 0.24636403800983075 " "
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) = -3.2050885426913633 " "
y[1] (numeric) = -3.205088542691362 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 4.15672644235738200000000000000E-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 = 0.23761351356739058 " "
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) = -3.185381442954453 " "
y[1] (numeric) = -3.1853814429544514 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 5.576590657075823000000000000000E-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 = 0.22876794688766142 " "
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) = -3.165650805269398 " "
y[1] (numeric) = -3.165650805269396 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 7.01418503125568900000000000000E-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 = 0.21983087607937582 " "
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) = -3.1458976026918575 " "
y[1] (numeric) = -3.145897602691855 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 8.46987281728561900000000000000E-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 = 0.21080587585169777 " "
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) = -3.126122810533962 " "
y[1] (numeric) = -3.1261228105339587 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 9.94402541856461900000000000000E-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 = 0.20169655608438633 " "
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) = -3.1063274062667814 " "
y[1] (numeric) = -3.106327406266778 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.14370226127264260000000000000E-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) = -3.0865123694225796 " "
y[1] (numeric) = -3.086512369422576 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 1.15104469173572050000000000000E-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 = 0.18323956462596586 " "
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) = -3.066678681496862 " "
y[1] (numeric) = -3.066678681496858 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 1.3033001836044011000000000000E-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 = 0.17389927548535003 " "
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) = -3.046827325850227 " "
y[1] (numeric) = -3.0468273258502223 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.60330100327806370000000000000E-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 = 0.16448942895316607 " "
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) = -3.026959287610029 " "
y[1] (numeric) = -3.026959287610024 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 1.61382458242696840000000000000E-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 = 0.15501378884256412 " "
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) = -3.0070755535718687 " "
y[1] (numeric) = -3.0070755535718634 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 1.7721771279975881000000000000E-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 = 0.14547614528324804 " "
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) = -2.9871771121009143 " "
y[1] (numeric) = -2.987177112100908 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 2.08131245807792700000000000000E-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 = 0.1358803132054746 " "
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) = -2.9672649530330633 " "
y[1] (numeric) = -2.9672649530330566 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 2.24494214476596950000000000000E-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 = 0.12623013081413237 " "
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) = -2.9473400675759627 " "
y[1] (numeric) = -2.9473400675759556 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 2.41079318798962160000000000000E-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 = 0.11652945805351067 " "
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) = -2.927403448209888 " "
y[1] (numeric) = -2.9274034482098803 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.57891223434460500000000000000E-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 = 0.10678217506337286 " "
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) = -2.907456088588494 " "
y[1] (numeric) = -2.9074560885884866 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 2.596605533298420000000000000E-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 = 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) = -2.887498983439455 " "
y[1] (numeric) = -2.887498983439447 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 2.76834929575611950000000000000E-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 = 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) = -2.867533128464988 " "
y[1] (numeric) = -2.867533128464979 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 3.0973606229113520000000000000E-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 = 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) = -2.8475595202422843 " "
y[1] (numeric) = -2.8475595202422754 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 3.1190864085065890000000000000E-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 = 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) = -2.827579156123856 " "
y[1] (numeric) = -2.827579156123847 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 3.2981829656841670000000000000E-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 = 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) = -2.807593034137798 " "
y[1] (numeric) = -2.8075930341377884 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 3.4798357518014350000000000000E-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 = 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) = -2.7876021528879873 " "
y[1] (numeric) = -2.787602152887977 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 3.66409956168586240000000000000E-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 = 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) = -2.7676075114542225 " "
y[1] (numeric) = -2.767607511454212 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 3.851030535323720000000000000E-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 = 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) = -2.747610109292318 " "
y[1] (numeric) = -2.7476101092923075 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 3.87905875013199840000000000000E-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 = 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) = -2.7276109461341598 " "
y[1] (numeric) = -2.7276109461341487 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 4.0703129828639034000000000000E-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 = 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) = -2.7076110218877307 " "
y[1] (numeric) = -2.707611021887719 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 4.26439372670731730000000000000E-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 = 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) = -2.687611336537122 " "
y[1] (numeric) = -2.68761133653711 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 4.4613625872708380000000000000E-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 = 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) = -2.6676128900425358 " "
y[1] (numeric) = -2.6676128900425233 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 4.6612827229229210000000000000E-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 = 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) = -2.6476166822402893 " "
y[1] (numeric) = -2.6476166822402765 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 4.8642188924246240000000000000E-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 = 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) = -2.6276237127428326 " "
y[1] (numeric) = -2.6276237127428197 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 4.9012295874771820000000000000E-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 = 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) = -2.6076349808387884 " "
y[1] (numeric) = -2.607634980838775 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 5.1091032270231410000000000000E-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 = 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) = -2.587651485393023 " "
y[1] (numeric) = -2.587651485393009 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 5.3201776139730000000000000E-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 = 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) = -2.567674224746761 " "
y[1] (numeric) = -2.567674224746747 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 5.5345240366711870000000000000E-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 = 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) = -2.5477041966177536 " "
y[1] (numeric) = -2.5477041966177385 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 5.9265252045143610000000000000E-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 = 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) = -2.5277423980005045 " "
y[1] (numeric) = -2.527742398000489 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.1490135850263530000000000000E-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 = 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) = -2.507789825066574 " "
y[1] (numeric) = -2.5077898250665585 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.197936601142230000000000000E-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 = 0.10167488247037001 " "
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) = -2.4878474730649627 " "
y[1] (numeric) = -2.4878474730649462 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 6.6046254613066710000000000000E-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 = 0.11144495705011512 " "
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) = -2.467916336222584 " "
y[1] (numeric) = -2.4679163362225673 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 6.8379100728074150000000000000E-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 = 0.12117045513295327 " "
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) = -2.4479974076448476 " "
y[1] (numeric) = -2.4479974076448303 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 7.0749581392796680000000000000E-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 = 0.13084748664932278 " "
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) = -2.4280916792163447 " "
y[1] (numeric) = -2.428091679216327 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.3158557174972950000000000000E-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 = 0.14047218091564237 " "
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) = -2.4082001415016636 " "
y[1] (numeric) = -2.4082001415016454 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 7.5606911942538770000000000000E-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 = 0.1500406881825332 " "
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) = -2.388323783646333 " "
y[1] (numeric) = -2.3883237836463143 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.8095553632290140000000000000E-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 = 0.15954918117466696 " "
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) = -2.3684635932779075 " "
y[1] (numeric) = -2.368463593277889 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.8750405396305780000000000000E-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 = 0.1689938566216246 " "
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) = -2.3486205564072082 " "
y[1] (numeric) = -2.348620556407189 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 8.1306603450514210000000000000E-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 = 0.17837093677915522 " "
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) = -2.328795657329719 " "
y[1] (numeric) = -2.3287956573296995 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 8.3905709682608810000000000000E-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 = 0.18767667094022164 " "
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) = -2.3089898785271603 " "
y[1] (numeric) = -2.3089898785271403 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 8.6548731240000320000000000000E-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 = 0.19690733693523407 " "
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) = -2.2892042005692415 " "
y[1] (numeric) = -2.2892042005692206 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 9.1176631852076770000000000000E-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 = 0.20605924262086864 " "
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) = -2.269439602015603 " "
y[1] (numeric) = -2.2694396020155816 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 9.3927514324994370000000000000E-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 = 0.21512872735687458 " "
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) = -2.249697059317963 " "
y[1] (numeric) = -2.249697059317941 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 9.6725784445173810000000000000E-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 = 0.22411216347028282 " "
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) = -2.2299775467224725 " "
y[1] (numeric) = -2.2299775467224503 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 9.9572574285056430000000000000E-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 = 0.23300595770642532 " "
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) = -2.210282036172292 " "
y[1] (numeric) = -2.2102820361722695 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 1.02469048436802000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.190611497210397 " "
y[1] (numeric) = -2.190611497210374 " "
absolute error = 2.309263891220325600000000000000E-14 " "
relative error = 1.0541640515267199000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.170966896882624 " "
y[1] (numeric) = -2.1709668968826006 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 1.0841587753295834000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.1513491996409693 " "
y[1] (numeric) = -2.1513491996409457 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 1.094044989348139100000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.1317593672471427 " "
y[1] (numeric) = -2.1317593672471187 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 1.124930782542830900000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.1121983586763915 " "
y[1] (numeric) = -2.112198358676367 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 1.1563737108980288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.092667130021605 " "
y[1] (numeric) = -2.0926671300215807 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 1.1671663491699837000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.0731666343977073 " "
y[1] (numeric) = -2.073166634397682 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 1.2209865112365886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.053697821846342 " "
y[1] (numeric) = -2.053697821846317 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 1.2325613190112003000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.034261639240875 " "
y[1] (numeric) = -2.0342616392408495 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 1.2661682093614776000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -2.014859030191703 " "
y[1] (numeric) = -2.0148590301916767 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 1.3004018141487939000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.9954909349518952 " "
y[1] (numeric) = -1.9954909349518684 " "
absolute error = 2.686739719592879000000000000000E-14 " "
relative error = 1.3464053745038174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.976158290323169 " "
y[1] (numeric) = -1.9761582903231416 " "
absolute error = 2.73114864057788500000000000000E-14 " "
relative error = 1.3820495321410967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.9568620295622097 " "
y[1] (numeric) = -1.9568620295621821 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 1.4070246442905174000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.9376030822873473 " "
y[1] (numeric) = -1.9376030822873191 " "
absolute error = 2.819966482547897600000000000000E-14 " "
relative error = 1.4553891394613788000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.918382374385593 " "
y[1] (numeric) = -1.9183823743855644 " "
absolute error = 2.86437540353290400000000000000E-14 " "
relative error = 1.4931201629968516000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.8992008279200534 " "
y[1] (numeric) = -1.899200827920024 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.543274803760665000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.8800593610377234 " "
y[1] (numeric) = -1.8800593610376937 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.5826083833614218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.8609588878776737 " "
y[1] (numeric) = -1.8609588878776435 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.622715389711998000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.8419003184796363 " "
y[1] (numeric) = -1.8419003184796057 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.663616384243168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.8228845586930023 " "
y[1] (numeric) = -1.8228845586929714 " "
absolute error = 3.08642000845793500000000000000E-14 " "
relative error = 1.6931516555666480000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.8039125100862377 " "
y[1] (numeric) = -1.8039125100862061 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.747885982444187800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.7849850698567256 " "
y[1] (numeric) = -1.784985069856694 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.7664200352042872000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.7661031307410506 " "
y[1] (numeric) = -1.7661031307410184 " "
absolute error = 3.21964677141295400000000000000E-14 " "
relative error = 1.823023081365583200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.7472675809257217 " "
y[1] (numeric) = -1.7472675809256892 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.855383381054829000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.7284793039583577 " "
y[1] (numeric) = -1.728479303958325 " "
absolute error = 3.2640556923979600000000000000E-14 " "
relative error = 1.8883973241235855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.7097391786593326 " "
y[1] (numeric) = -1.7097391786592993 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.948056823782424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.6910480790338918 " "
y[1] (numeric) = -1.691048079033858 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.9958498145059736000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.6724068741847553 " "
y[1] (numeric) = -1.6724068741847216 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 2.0180962222519674000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.6538164282252081 " "
y[1] (numeric) = -1.6538164282251737 " "
absolute error = 3.44169137633798500000000000000E-14 " "
relative error = 2.0810600968763104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.635277600192687 " "
y[1] (numeric) = -1.635277600192652 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 2.1453878885163635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.6167912439628789 " "
y[1] (numeric) = -1.6167912439628436 " "
absolute error = 3.53050921830799800000000000000E-14 " "
relative error = 2.183651866925287200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.5983582081643353 " "
y[1] (numeric) = -1.5983582081642997 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 2.222726833480388700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.5799793360936087 " "
y[1] (numeric) = -1.579979336093573 " "
absolute error = 3.57491813929300400000000000000E-14 " "
relative error = 2.262636008982083200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.561655465630924 " "
y[1] (numeric) = -1.5616554656308879 " "
absolute error = 3.619327060278010300000000000000E-14 " "
relative error = 2.3176219978942456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.5433874291563905 " "
y[1] (numeric) = -1.543387429156354 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 2.3594409621186044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.5251760534667662 " "
y[1] (numeric) = -1.525176053466729 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 2.4458483689547456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.5070221596927764 " "
y[1] (numeric) = -1.507022159692739 " "
absolute error = 3.75255382323302900000000000000E-14 " "
relative error = 2.4900455504901334000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.488926563217004 " "
y[1] (numeric) = -1.4889265632169661 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 2.5352212640828403000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.4708900735923507 " "
y[1] (numeric) = -1.4708900735923123 " "
absolute error = 3.841371665203041600000000000000E-14 " "
relative error = 2.6115967020032100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.452913494461081 " "
y[1] (numeric) = -1.4529134944610425 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 2.6591921270086580000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.434997623474462 " "
y[1] (numeric) = -1.4349976234744228 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 2.723339037467124000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.4171432522129948 " "
y[1] (numeric) = -1.4171432522129555 " "
absolute error = 3.93018950717305400000000000000E-14 " "
relative error = 2.7733184355468055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.399351166107261 " "
y[1] (numeric) = -1.3993511661072213 " "
absolute error = 3.974598428158060400000000000000E-14 " "
relative error = 2.840315229246327000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.381622144359378 " "
y[1] (numeric) = -1.3816221443593375 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 2.924976142090842000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.3639569598650785 " "
y[1] (numeric) = -1.363956959865038 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 2.9628587474162850000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.3463563791364255 " "
y[1] (numeric) = -1.3463563791363846 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 3.0345759814657386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.3288211622251573 " "
y[1] (numeric) = -1.3288211622251163 " "
absolute error = 4.10782519111307900000000000000E-14 " "
relative error = 3.0913303519597646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.3113520626466868 " "
y[1] (numeric) = -1.3113520626466448 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.2002413025629867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.293949827304746 " "
y[1] (numeric) = -1.293949827304704 " "
absolute error = 4.19664303308309200000000000000E-14 " "
relative error = 3.2432811106938810000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.276615196416702 " "
y[1] (numeric) = -1.2766151964166597 " "
absolute error = 4.24105195406809800000000000000E-14 " "
relative error = 3.3221067444381014000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.2593489034395309 " "
y[1] (numeric) = -1.259348903439488 " "
absolute error = 4.28546087505310400000000000000E-14 " "
relative error = 3.402917859656417000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.242151674996475 " "
y[1] (numeric) = -1.2421516749964319 " "
absolute error = 4.307665335545607400000000000000E-14 " "
relative error = 3.4679060715816623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.2250242308043813 " "
y[1] (numeric) = -1.2250242308043378 " "
absolute error = 4.352074256530613600000000000000E-14 " "
relative error = 3.5526434066311763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.2079672836017292 " "
y[1] (numeric) = -1.2079672836016853 " "
absolute error = 4.3964831775156200000000000000E-14 " "
relative error = 3.639571399985991000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.1909815390773582 " "
y[1] (numeric) = -1.190981539077314 " "
absolute error = 4.41868763800812300000000000000E-14 " "
relative error = 3.710122695462801400000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.1740676957998994 " "
y[1] (numeric) = -1.1740676957998548 " "
absolute error = 4.46309655899312930000000000000E-14 " "
relative error = 3.801396269533159300000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.157226445147919 " "
y[1] (numeric) = -1.1572264451478742 " "
absolute error = 4.485301019485632400000000000000E-14 " "
relative error = 3.875906084147871000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.1404584712407813 " "
y[1] (numeric) = -1.1404584712407362 " "
absolute error = 4.507505479978135600000000000000E-14 " "
relative error = 3.952362662600171000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.1237644508702371 " "
y[1] (numeric) = -1.1237644508701916 " "
absolute error = 4.55191440096314200000000000000E-14 " "
relative error = 4.050594764265913000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.107145053432745 " "
y[1] (numeric) = -1.107145053432699 " "
absolute error = 4.59632332194814800000000000000E-14 " "
relative error = 4.151509603639626500000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.0906009408625326 " "
y[1] (numeric) = -1.0906009408624862 " "
absolute error = 4.640732242933154300000000000000E-14 " "
relative error = 4.255206527937616000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.0741327675654033 " "
y[1] (numeric) = -1.0741327675653567 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 4.3411176385527533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.0577411803532968 " "
y[1] (numeric) = -1.0577411803532502 " "
absolute error = 4.662936703425657500000000000000E-14 " "
relative error = 4.408391003428823000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.0414268183796085 " "
y[1] (numeric) = -1.0414268183795612 " "
absolute error = 4.72955008490316700000000000000E-14 " "
relative error = 4.541413761806168400000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.025190313075273 " "
y[1] (numeric) = -1.0251903130752256 " "
absolute error = 4.7517545453956700000000000000E-14 " "
relative error = 4.634997507088987600000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -1.0090322880856246 " "
y[1] (numeric) = -1.0090322880855764 " "
absolute error = 4.818367926873179400000000000000E-14 " "
relative error = 4.775236614097627000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.9929533592080295 " "
y[1] (numeric) = -0.9929533592079812 " "
absolute error = 4.82947015711943100000000000000E-14 " "
relative error = 4.863743208413507000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.9769541343303105 " "
y[1] (numeric) = -0.9769541343302619 " "
absolute error = 4.862776847858185600000000000000E-14 " "
relative error = 4.9774873527625285000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.9610352133699562 " "
y[1] (numeric) = -0.9610352133699069 " "
absolute error = 4.92939022933569500000000000000E-14 " "
relative error = 5.129250375800847000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.9451971882141295 " "
y[1] (numeric) = -0.9451971882140798 " "
absolute error = 4.9626969200744500000000000000E-14 " "
relative error = 5.2504355513911840000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.9294406426604809 " "
y[1] (numeric) = -0.9294406426604312 " "
absolute error = 4.9626969200744500000000000000E-14 " "
relative error = 5.3394447071616750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.9137661523587699 " "
y[1] (numeric) = -0.9137661523587195 " "
absolute error = 5.04041253179821100000000000000E-14 " "
relative error = 5.5160858374837310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8981742847532965 " "
y[1] (numeric) = -0.8981742847532459 " "
absolute error = 5.06261699229071400000000000000E-14 " "
relative error = 5.63656417048421100000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8826655990261623 " "
y[1] (numeric) = -0.8826655990261112 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 5.785912489294088000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8672406460413487 " "
y[1] (numeric) = -0.8672406460412976 " "
absolute error = 5.1070259132757200000000000000E-14 " "
relative error = 5.888822135571613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8518999682896342 " "
y[1] (numeric) = -0.8518999682895827 " "
absolute error = 5.151434834260726000000000000000E-14 " "
relative error = 6.046994982994658000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8366440998343432 " "
y[1] (numeric) = -0.8366440998342912 " "
absolute error = 5.195843755245733000000000000000E-14 " "
relative error = 6.210339326213521000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8214735662579411 " "
y[1] (numeric) = -0.8214735662578887 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 6.379088617667473000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.8063888846094764 " "
y[1] (numeric) = -0.806388884609424 " "
absolute error = 5.24025267623073900000000000000E-14 " "
relative error = 6.498418785582002000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7913905633528779 " "
y[1] (numeric) = -0.791390563352825 " "
absolute error = 5.29576382746199700000000000000E-14 " "
relative error = 6.691719705407501000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7764791023161051 " "
y[1] (numeric) = -0.7764791023160518 " "
absolute error = 5.329070518200751000000000000000E-14 " "
relative error = 6.863121624658076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7616549926411689 " "
y[1] (numeric) = -0.7616549926411154 " "
absolute error = 5.351274978693255000000000000000E-14 " "
relative error = 7.02585163938438100000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7469187167350171 " "
y[1] (numeric) = -0.7469187167349631 " "
absolute error = 5.39568389967826100000000000000E-14 " "
relative error = 7.223923806949502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7322707482212927 " "
y[1] (numeric) = -0.7322707482212387 " "
absolute error = 5.39568389967826100000000000000E-14 " "
relative error = 7.368427474106451000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7177115518929744 " "
y[1] (numeric) = -0.7177115518929202 " "
absolute error = 5.41788836017076400000000000000E-14 " "
relative error = 7.548838173052957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.7032415836658963 " "
y[1] (numeric) = -0.7032415836658413 " "
absolute error = 5.49560397189452500000000000000E-14 " "
relative error = 7.81467435876976900000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6888612905331546 " "
y[1] (numeric) = -0.6888612905330996 " "
absolute error = 5.49560397189452500000000000000E-14 " "
relative error = 7.977809244646508000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6745711105204135 " "
y[1] (numeric) = -0.6745711105203581 " "
absolute error = 5.54001289287953100000000000000E-14 " "
relative error = 8.212644755280967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6603714726420988 " "
y[1] (numeric) = -0.6603714726420431 " "
absolute error = 5.57331958361828600000000000000E-14 " "
relative error = 8.439673448218218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6462627968584984 " "
y[1] (numeric) = -0.6462627968584426 " "
absolute error = 5.584421813864537000000000000000E-14 " "
relative error = 8.641100556941493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6322454940337674 " "
y[1] (numeric) = -0.6322454940337111 " "
absolute error = 5.628830734849544000000000000000E-14 " "
relative error = 8.902919495617497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6183199658948397 " "
y[1] (numeric) = -0.6183199658947833 " "
absolute error = 5.63993296509579500000000000000E-14 " "
relative error = 9.12138257889444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.6044866049912585 " "
y[1] (numeric) = -0.604486604991202 " "
absolute error = 5.65103519534204700000000000000E-14 " "
relative error = 9.34848704451237000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.5907457946559198 " "
y[1] (numeric) = -0.5907457946558629 " "
absolute error = 5.69544411632705300000000000000E-14 " "
relative error = 9.641108185364854000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.5770979089667394 " "
y[1] (numeric) = -0.5770979089666822 " "
absolute error = 5.71764857681955600000000000000E-14 " "
relative error = 9.907588448997635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = -0.5635433127092471 " "
y[1] (numeric) = -0.5635433127091891 " "
absolute error = 5.79536418854331700000000000000E-14 " "
relative error = 1.028379550931404800000000000E-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 = 0.3284932993594187 " "
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) = -0.5500823613401051 " "
y[1] (numeric) = -0.5500823613400472 " "
absolute error = 5.79536418854331700000000000000E-14 " "
relative error = 1.053544813621129200000000000E-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 = 0.32088908293749124 " "
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) = -0.5367154009515671 " "
y[1] (numeric) = -0.536715400951509 " "
absolute error = 5.80646641878956900000000000000E-14 " "
relative error = 1.08185202222537690000000000E-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 = 0.3131565151608531 " "
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) = -0.5234427682368663 " "
y[1] (numeric) = -0.5234427682368079 " "
absolute error = 5.83977310952832300000000000000E-14 " "
relative error = 1.115646917656092600000000000E-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 = 0.3052986889535152 " "
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) = -0.5102647904565467 " "
y[1] (numeric) = -0.5102647904564881 " "
absolute error = 5.86197757002082700000000000000E-14 " "
relative error = 1.148810907524300800000000000E-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 = 0.2973187473411908 " "
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) = -0.4971817854057381 " "
y[1] (numeric) = -0.4971817854056792 " "
absolute error = 5.88973314563645500000000000000E-14 " "
relative error = 1.184623676595470300000000000E-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 = 0.28921988219412686 " "
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) = -0.48419406138237653 " "
y[1] (numeric) = -0.4841940613823172 " "
absolute error = 5.93414206662146200000000000000E-14 " "
relative error = 1.225571013754166200000000000E-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 = 0.28100533295039914 " "
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) = -0.4713019171563744 " "
y[1] (numeric) = -0.47130191715631464 " "
absolute error = 5.97299987248334200000000000000E-14 " "
relative error = 1.267340457370036000000000000E-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 = 0.2726783853201792 " "
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) = -0.4585056419397442 " "
y[1] (numeric) = -0.45850564193968407 " "
absolute error = 6.01185767834522300000000000000E-14 " "
relative error = 1.311185104050538200000000000E-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 = 0.264242369971494 " "
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) = -0.44580551535767743 " "
y[1] (numeric) = -0.4458055153576169 " "
absolute error = 6.05071548420710300000000000000E-14 " "
relative error = 1.357254514752360100000000000E-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 = 0.2557006611980052 " "
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) = -0.4332018074205819 " "
y[1] (numeric) = -0.4332018074205213 " "
absolute error = 6.06181771445335500000000000000E-14 " "
relative error = 1.399305730173957500000000000E-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 = 0.2470566755693337 " "
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) = -0.42069477849708203 " "
y[1] (numeric) = -0.4206947784970211 " "
absolute error = 6.0951244051921090000000000000E-14 " "
relative error = 1.44882340279257500000000000E-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 = 0.23831387056447986 " "
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) = -0.4082846792879806 " "
y[1] (numeric) = -0.4082846792879195 " "
absolute error = 6.11177775056148700000000000000E-14 " "
relative error = 1.496940262666723600000000000E-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 = 0.22947574318887587 " "
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) = -0.3959717508011904 " "
y[1] (numeric) = -0.39597175080112906 " "
absolute error = 6.1339822110539900000000000000E-14 " "
relative error = 1.54909591369656600000000000E-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 = 0.22054582857563235 " "
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) = -0.3837562243276329 " "
y[1] (numeric) = -0.383756224327571 " "
absolute error = 6.18949336228524800000000000000E-14 " "
relative error = 1.612871132743100800000000000E-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 = 0.2115276985715303 " "
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) = -0.3716383214181085 " "
y[1] (numeric) = -0.3716383214180464 " "
absolute error = 6.20614670765462500000000000000E-14 " "
relative error = 1.669942616243940400000000000E-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 = 0.2024249603083313 " "
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) = -0.35961825386114343 " "
y[1] (numeric) = -0.35961825386108137 " "
absolute error = 6.20614670765462500000000000000E-14 " "
relative error = 1.72575964679783900000000000E-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 = 0.19324125475997234 " "
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) = -0.3476962236618104 " "
y[1] (numeric) = -0.3476962236617481 " "
absolute error = 6.22835116814712800000000000000E-14 " "
relative error = 1.791319762565263300000000000E-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 = 0.18398025528622547 " "
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) = -0.33587242302152776 " "
y[1] (numeric) = -0.33587242302146497 " "
absolute error = 6.2783112042552600000000000000E-14 " "
relative error = 1.869254744934165700000000000E-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 = 0.17464566616340102 " "
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) = -0.32414703431883884 " "
y[1] (numeric) = -0.32414703431877606 " "
absolute error = 6.2783112042552600000000000000E-14 " "
relative error = 1.936871400797627300000000000E-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 = 0.16524122110268943 " "
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) = -0.3125202300911769 " "
y[1] (numeric) = -0.3125202300911139 " "
absolute error = 6.30051566474776300000000000000E-14 " "
relative error = 2.016034502121544500000000000E-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 = 0.15577068175672348 " "
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) = -0.30099217301760905 " "
y[1] (numeric) = -0.30099217301754555 " "
absolute error = 6.35047570085589500000000000000E-14 " "
relative error = 2.109847454566325700000000000E-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 = 0.1462378362149697 " "
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) = -0.2895630159025684 " "
y[1] (numeric) = -0.289563015902505 " "
absolute error = 6.33937347060964400000000000000E-14 " "
relative error = 2.189289765079220000000000000E-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 = 0.13664649748854166 " "
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) = -0.27823290166057646 " "
y[1] (numeric) = -0.2782329016605128 " "
absolute error = 6.36712904622527300000000000000E-14 " "
relative error = 2.288417008996549000000000000E-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 = 0.1270005019850474 " "
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) = -0.2670019633019489 " "
y[1] (numeric) = -0.2670019633018847 " "
absolute error = 6.4226401974565310000000000000E-14 " "
relative error = 2.405465532174103600000000000E-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 = 0.11730370797407631 " "
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) = -0.25587032391949505 " "
y[1] (numeric) = -0.25587032391943076 " "
absolute error = 6.42819131257965600000000000000E-14 " "
relative error = 2.512284822292315000000000000E-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 = 0.10755999404394415 " "
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) = -0.2448380966762107 " "
y[1] (numeric) = -0.24483809667614628 " "
absolute error = 6.44206910038747100000000000000E-14 " "
relative error = 2.631154705024058600000000000E-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 = 9.77732575503086800E-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) = -0.23390538479396028 " "
y[1] (numeric) = -0.23390538479389536 " "
absolute error = 6.49202913649560300000000000000E-14 " "
relative error = 2.775493664762880000000000000E-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 = 8.79474130572791400E-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) = -0.22307228154315384 " "
y[1] (numeric) = -0.22307228154308895 " "
absolute error = 6.4892535789340400000000000000E-14 " "
relative error = 2.909036270236326500000000000E-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 = 7.80863907716432700E-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) = -0.21233887023342302 " "
y[1] (numeric) = -0.2123388702333579 " "
absolute error = 6.51145803942654300000000000000E-14 " "
relative error = 3.06654077619822100000000000E-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 = 6.81941349708366800E-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) = -0.2017052242052877 " "
y[1] (numeric) = -0.20170522420522202 " "
absolute error = 6.56696919065780100000000000000E-14 " "
relative error = 3.25572588242642460000000000E-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 = 5.82746024252847500E-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) = -0.19117140682282185 " "
y[1] (numeric) = -0.19117140682275607 " "
absolute error = 6.57807142090405300000000000000E-14 " "
relative error = 3.440928499836079500000000000E-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 = 4.83317608157470500E-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) = -0.18073747146731955 " "
y[1] (numeric) = -0.18073747146725344 " "
absolute error = 6.61137811164280700000000000000E-14 " "
relative error = 3.65800077757437100000000000E-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 = 3.83695871462979800E-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) = -0.1704034615319543 " "
y[1] (numeric) = -0.1704034615318881 " "
absolute error = 6.61970478432749600000000000000E-14 " "
relative error = 3.88472436229598500000000000E-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 = 2.839206615357805500E-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) = -0.1601694104174416 " "
y[1] (numeric) = -0.1601694104173752 " "
absolute error = 6.63913368725843600000000000000E-14 " "
relative error = 4.14506969211860800000000000E-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 = 1.840318871295250600E-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) = -0.15003534152869769 " "
y[1] (numeric) = -0.15003534152863118 " "
absolute error = 6.65023591750468800000000000000E-14 " "
relative error = 4.432446282153247300000000000E-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 = 8.406950242214374000E-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) = -0.14000126827250003 " "
y[1] (numeric) = -0.1400012682724332 " "
absolute error = 6.68354260824344200000000000000E-14 " "
relative error = 4.773915758559072500000000000E-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 = 1.5926508965294714000E-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) = -0.13006719405614575 " "
y[1] (numeric) = -0.13006719405607847 " "
absolute error = 6.72795152922844900000000000000E-14 " "
relative error = 5.17267369227955500000000000E-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 = 1.159161499614976700E-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) = -0.12023311228711098 " "
y[1] (numeric) = -0.12023311228704357 " "
absolute error = 6.74044153825548200000000000000E-14 " "
relative error = 5.6061441062588700000000000E-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 = 2.158594260432442300E-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) = -0.11049900637371124 " "
y[1] (numeric) = -0.11049900637364367 " "
absolute error = 6.75709488362485900000000000000E-14 " "
relative error = 6.11507298153627300000000000E-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 = 3.15716361232660700E-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) = -0.10086484972675924 " "
y[1] (numeric) = -0.10086484972669167 " "
absolute error = 6.75709488362485900000000000000E-14 " "
relative error = 6.6991572405349210000000000E-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 = 4.15447014087079100E-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) = -9.13306057622249600E-2 " "
y[1] (numeric) = -9.13306057621571500E-2 " "
absolute error = 6.78068712289814400000000000000E-14 " "
relative error = 7.42433170820234300000000000E-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 = 5.15011493675083400E-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) = -8.1896227904892700E-2 " "
y[1] (numeric) = -8.1896227904824700E-2 " "
absolute error = 6.80011602582908400000000000000E-14 " "
relative error = 8.30333239978544400000000000E-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 = 6.143699755323444000E-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) = -7.25616595930196300E-2 " "
y[1] (numeric) = -7.25616595929513800E-2 " "
absolute error = 6.8250960438831500000000000000E-14 " "
relative error = 9.4059260526336110000000000E-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 = 7.13482717590884100E-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) = -6.33268342839912200E-2 " "
y[1] (numeric) = -6.33268342839229300E-2 " "
absolute error = 6.82925938022549400000000000000E-14 " "
relative error = 1.07841477589096930000000000E-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 = 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) = -5.41916754609763600E-2 " "
y[1] (numeric) = -5.41916754609078600E-2 " "
absolute error = 6.85007606193721600000000000000E-14 " "
relative error = 1.26404581583198760000000000E-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 = 9.10812521360069200E-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) = -4.51560966405781800E-2 " "
y[1] (numeric) = -4.5156096640509200E-2 " "
absolute error = 6.89795442987417600000000000000E-14 " "
relative error = 1.5275798713911720000000000E-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 = 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) = -3.62200013814817370E-2 " "
y[1] (numeric) = -3.62200013814126600E-2 " "
absolute error = 6.90766888133964600000000000000E-14 " "
relative error = 1.90714208113513280000000000E-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 = 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) = -2.738328329410011400E-2 " "
y[1] (numeric) = -2.73832832940307360E-2 " "
absolute error = 6.93750612512644700000000000000E-14 " "
relative error = 2.5334822163641610000000000E-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 = 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) = -1.86458260512107900E-2 " "
y[1] (numeric) = -1.864582605114156700E-2 " "
absolute error = 6.92224055853785100000000000000E-14 " "
relative error = 3.7124880064449306000000000E-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 = 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) = -1.000750339959122200E-2 " "
y[1] (numeric) = -1.000750339952155300E-2 " "
absolute error = 6.96699642421805300000000000000E-14 " "
relative error = 6.9617727279539410000000000E-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 = 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) = -1.4681791726403048000E-3 " "
y[1] (numeric) = -1.4681791725705828000E-3 " "
absolute error = 6.97220059464598300000000000000E-14 " "
relative error = 4.748875835166292000000000E-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 = 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) = 6.972292696001414000E-3 " "
y[1] (numeric) = 6.972292696071420000E-3 " "
absolute error = 7.00065005965200300000000000000E-14 " "
relative error = 1.0040671504893724000000000E-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 = 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) = 1.53140681578478600E-2 " "
y[1] (numeric) = 1.53140681579179900E-2 " "
absolute error = 7.01296659633143800000000000000E-14 " "
relative error = 4.57942757211614400000000000E-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 = 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) = 2.355731303397057300E-2 " "
y[1] (numeric) = 2.355731303404109400E-2 " "
absolute error = 7.05199787454091600000000000000E-14 " "
relative error = 2.9935493340737360000000000E-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 = 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) = 3.17022029984186400E-2 " "
y[1] (numeric) = 3.17022029984891600E-2 " "
absolute error = 7.05199787454091600000000000000E-14 " "
relative error = 2.22445041907424620000000000E-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 = 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) = 3.974892356064918500E-2 " "
y[1] (numeric) = 3.97489235607198230E-2 " "
absolute error = 7.06379399417755800000000000000E-14 " "
relative error = 1.77710321724802750000000000E-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 = 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) = 4.769767004697822400E-2 " "
y[1] (numeric) = 4.76976700470491340E-2 " "
absolute error = 7.09085568040279700000000000000E-14 " "
relative error = 1.48662516919985750000000000E-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 = 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) = 5.55486475810482700E-2 " "
y[1] (numeric) = 5.55486475811190800E-2 " "
absolute error = 7.08114122893732700000000000000E-14 " "
relative error = 1.2747639298698650000000000E-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 = 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) = 6.33020710633145400E-2 " "
y[1] (numeric) = 6.33020710633854200E-2 " "
absolute error = 7.08877401223162500000000000000E-14 " "
relative error = 1.11983287326278070000000000E-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 = 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) = 7.09581651495563300E-2 " "
y[1] (numeric) = 7.09581651496277800E-2 " "
absolute error = 7.14567294224366400000000000000E-14 " "
relative error = 1.0070261719962671000000000E-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 = 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) = 7.85171642284128200E-2 " "
y[1] (numeric) = 7.8517164228484300E-2 " "
absolute error = 7.14844849980522700000000000000E-14 " "
relative error = 9.10431313974841100000000000E-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 = 0.24110923587242647 " "
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) = 8.59793123979413200E-2 " "
y[1] (numeric) = 8.59793123980129200E-2 " "
absolute error = 7.15955073005147800000000000000E-14 " "
relative error = 8.32706209246551800000000000E-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 = 0.24982094155841206 " "
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) = 9.33448634412101800E-2 " "
y[1] (numeric) = 9.33448634412818100E-2 " "
absolute error = 7.16371406639382300000000000000E-14 " "
relative error = 7.67445984952950700000000000E-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 = 0.2584327221986757 " "
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) = 0.10061408080091949 " "
y[1] (numeric) = 0.1006140808009913 " "
absolute error = 7.180367411763200000000000000E-14 " "
relative error = 7.13654326969469300000000000E-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 = 0.2669411331957836 " "
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) = 0.10778723755305775 " "
y[1] (numeric) = 0.10778723755312974 " "
absolute error = 7.1997963146941400000000000000E-14 " "
relative error = 6.67963710559895900000000000E-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 = 0.27534277129878065 " "
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) = 0.11486461637959389 " "
y[1] (numeric) = 0.11486461637966626 " "
absolute error = 7.23726634177523900000000000000E-14 " "
relative error = 6.30069256302410400000000000E-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 = 0.28363427596444646 " "
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) = 0.12184650954021015 " "
y[1] (numeric) = 0.12184650954028267 " "
absolute error = 7.25253190836383500000000000000E-14 " "
relative error = 5.95218684206169300000000000E-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 = 0.2918123307014663 " "
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) = 0.1287332188430752 " "
y[1] (numeric) = 0.12873321884314784 " "
absolute error = 7.26363413861008700000000000000E-14 " "
relative error = 5.64239300771652500000000000E-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 = 0.2998736643969847 " "
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) = 0.13552505561466432 " "
y[1] (numeric) = 0.13552505561473707 " "
absolute error = 7.27473636885633800000000000000E-14 " "
relative error = 5.367816553081115000000000000E-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 = 0.30781505262500647 " "
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) = 0.14222234066862693 " "
y[1] (numeric) = 0.14222234066869976 " "
absolute error = 7.28306304154102700000000000000E-14 " "
relative error = 5.120899436263890000000000000E-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 = 0.3156333189361242 " "
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) = 0.14882540427370516 " "
y[1] (numeric) = 0.14882540427377827 " "
absolute error = 7.31081861715665600000000000000E-14 " "
relative error = 4.912345881292760600000000000E-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 = 0.3233253361280557 " "
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) = 0.15533458612070827 " "
y[1] (numeric) = 0.1553345861207813 " "
absolute error = 7.30249194447196700000000000000E-14 " "
relative error = 4.70113715614969700000000000E-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 = 0.33088802749648333 " "
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) = 0.16175023528854204 " "
y[1] (numeric) = 0.16175023528861512 " "
absolute error = 7.30804305959509300000000000000E-14 " "
relative error = 4.518103510983131000000000000E-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 = 0.3383183680656933 " "
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) = 0.16807271020930248 " "
y[1] (numeric) = 0.16807271020937603 " "
absolute error = 7.35522753814166200000000000000E-14 " "
relative error = 4.376217607833020600000000000E-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 = 0.3456133857985289 " "
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) = 0.1743023786324338 " "
y[1] (numeric) = 0.17430237863250736 " "
absolute error = 7.35522753814166200000000000000E-14 " "
relative error = 4.219809044403377600000000000E-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 = 0.3527701627851622 " "
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) = 0.18043961758795124 " "
y[1] (numeric) = 0.18043961758802485 " "
absolute error = 7.36077865326478800000000000000E-14 " "
relative error = 4.079358375760767700000000000E-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 = 0.3597858364102203 " "
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) = 0.18648481334874045 " "
y[1] (numeric) = 0.186484813348814 " "
absolute error = 7.35522753814166200000000000000E-14 " "
relative error = 3.94414290690086400000000000E-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 = 0.3666576004977955 " "
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) = 0.19243836139192938 " "
y[1] (numeric) = 0.1924383613920031 " "
absolute error = 7.3718808835110390000000000000E-14 " "
relative error = 3.83077512726119400000000000E-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 = 0.37338270643387367 " "
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) = 0.19830066635934163 " "
y[1] (numeric) = 0.19830066635941576 " "
absolute error = 7.41351424693448300000000000000E-14 " "
relative error = 3.73852210536721900000000000E-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 = 0.37995846426574864 " "
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) = 0.20407214201703283 " "
y[1] (numeric) = 0.2040721420171072 " "
absolute error = 7.43571870742698600000000000000E-14 " "
relative error = 3.64367161236851500000000000E-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 = 0.3863822437779626 " "
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) = 0.20975321121391355 " "
y[1] (numeric) = 0.20975321121398785 " "
absolute error = 7.4301675923038600000000000000E-14 " "
relative error = 3.542337945294349000000000000E-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 = 0.3926514755443599 " "
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) = 0.21534430583946484 " "
y[1] (numeric) = 0.21534430583953895 " "
absolute error = 7.4107386893729200000000000000E-14 " "
relative error = 3.44134415836260250000000000E-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 = 0.3987636519558224 " "
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) = 0.2208458667805493 " "
y[1] (numeric) = 0.22084586678062387 " "
absolute error = 7.45792316791948900000000000000E-14 " "
relative error = 3.37698109393656800000000000E-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 = 0.4047163282232807 " "
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) = 0.22625834387732535 " "
y[1] (numeric) = 0.22625834387739982 " "
absolute error = 7.44682093767323700000000000000E-14 " "
relative error = 3.29129118955755200000000000E-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 = 0.41050712335559514 " "
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) = 0.23158219587825934 " "
y[1] (numeric) = 0.23158219587833417 " "
absolute error = 7.48290318597355500000000000000E-14 " "
relative error = 3.23120832220938500000000000E-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 = 0.4161337211119229 " "
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) = 0.2368178903942555 " "
y[1] (numeric) = 0.2368178903943301 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 3.15039489333362730000000000E-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 = 0.42159387092818146 " "
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) = 0.24196590385189065 " "
y[1] (numeric) = 0.24196590385196573 " "
absolute error = 7.50788320402762100000000000000E-14 " "
relative error = 3.102868249000595000000000000E-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 = 0.4268853888172453 " "
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) = 0.24702672144577686 " "
y[1] (numeric) = 0.247026721445852 " "
absolute error = 7.51343431915074700000000000000E-14 " "
relative error = 3.04154719585669200000000000E-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 = 0.4320061582425118 " "
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) = 0.2520008370900384 " "
y[1] (numeric) = 0.25200083709011356 " "
absolute error = 7.5162098767123100000000000000E-14 " "
relative error = 2.982613059347423000000000000E-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 = 0.43695413096448643 " "
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) = 0.25688875336892236 " "
y[1] (numeric) = 0.25688875336899775 " "
absolute error = 7.53841433720481300000000000000E-14 " "
relative error = 2.934505399066173500000000000E-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 = 0.44172732786005264 " "
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) = 0.26169098148654113 " "
y[1] (numeric) = 0.2616909814866166 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 2.88489749419940930000000000E-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 = 0.446323839714094 " "
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) = 0.26640804121575146 " "
y[1] (numeric) = 0.26640804121582695 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 2.83381707736706900000000000E-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 = 0.4507418279831552 " "
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) = 0.27104046084617783 " "
y[1] (numeric) = 0.2710404608462534 " "
absolute error = 7.5550676825741900000000000000E-14 " "
relative error = 2.787431684180126000000000000E-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 = 0.45497952553083376 " "
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) = 0.2755887771313841 " "
y[1] (numeric) = 0.2755887771314599 " "
absolute error = 7.58282325818981900000000000000E-14 " "
relative error = 2.751499294390637500000000000E-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 = 0.4590352373346128 " "
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) = 0.28005353523519894 " "
y[1] (numeric) = 0.28005353523527493 " "
absolute error = 7.59947660355919700000000000000E-14 " "
relative error = 2.713579957909435000000000000E-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 = 0.4629073411638465 " "
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) = 0.2844352886771997 " "
y[1] (numeric) = 0.2844352886772754 " "
absolute error = 7.57172102794356800000000000000E-14 " "
relative error = 2.66201885959958100000000000E-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 = 0.46659428822863 " "
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) = 0.2887345992773591 " "
y[1] (numeric) = 0.2887345992774353 " "
absolute error = 7.61612994892857400000000000000E-14 " "
relative error = 2.63776144874570500000000000E-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 = 0.47009460379929624 " "
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) = 0.2929520370998677 " "
y[1] (numeric) = 0.292952037099944 " "
absolute error = 7.62723217917482500000000000000E-14 " "
relative error = 2.603577109304992500000000000E-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 = 0.4734068877962874 " "
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) = 0.2970881803961243 " "
y[1] (numeric) = 0.2970881803962005 " "
absolute error = 7.621681064051700000000000000E-14 " "
relative error = 2.565460885683599000000000000E-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 = 0.47652981535016764 " "
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) = 0.30114361554691227 " "
y[1] (numeric) = 0.3011436155469886 " "
absolute error = 7.63278329429795100000000000000E-14 " "
relative error = 2.534599075074501000000000000E-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 = 0.479462137331554 " "
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) = 0.30511893700376325 " "
y[1] (numeric) = 0.30511893700383946 " "
absolute error = 7.621681064051700000000000000E-14 " "
relative error = 2.49793773500125200000000000E-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 = 0.4822026808507511 " "
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) = 0.3090147472295106 " "
y[1] (numeric) = 0.30901474722958683 " "
absolute error = 7.621681064051700000000000000E-14 " "
relative error = 2.46644573839414380000000000E-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 = 0.4847503497268912 " "
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) = 0.3128316566380449 " "
y[1] (numeric) = 0.31283165663812135 " "
absolute error = 7.64388552454420300000000000000E-14 " "
relative error = 2.44345013119576820000000000E-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 = 0.4871041249263924 " "
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) = 0.3165702835332729 " "
y[1] (numeric) = 0.3165702835333496 " "
absolute error = 7.67164110015983200000000000000E-14 " "
relative error = 2.423361098374702500000000000E-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 = 0.48926306497055816 " "
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) = 0.3202312540472878 " "
y[1] (numeric) = 0.3202312540473643 " "
absolute error = 7.64943663966732900000000000000E-14 " "
relative error = 2.38872269429946220000000000E-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 = 0.491226306312156 " "
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) = 0.3238152020777547 " "
y[1] (numeric) = 0.3238152020778315 " "
absolute error = 7.67719221528295700000000000000E-14 " "
relative error = 2.37085602097195700000000000E-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 = 0.492993063680826 " "
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) = 0.32732276922452463 " "
y[1] (numeric) = 0.32732276922460146 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.347146013889477600000000000E-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 = 0.49456263039717674 " "
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) = 0.33075460472547213 " "
y[1] (numeric) = 0.3307546047255492 " "
absolute error = 7.70494779089858600000000000000E-14 " "
relative error = 2.32950582722611800000000000E-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 = 0.49593437865544926 " "
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) = 0.33411136539157393 " "
y[1] (numeric) = 0.3341113653916511 " "
absolute error = 7.71605002114483800000000000000E-14 " "
relative error = 2.309424587248546000000000000E-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 = 0.49710775977462973 " "
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) = 0.33739371554122766 " "
y[1] (numeric) = 0.3373937155413046 " "
absolute error = 7.69384556065233500000000000000E-14 " "
relative error = 2.280376072894632300000000000E-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 = 0.4980823044179154 " "
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) = 0.34060232693381964 " "
y[1] (numeric) = 0.34060232693389664 " "
absolute error = 7.6993966757754610000000000000E-14 " "
relative error = 2.26052380354743810000000000E-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 = 0.49885762278044293 " "
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) = 0.34373787870255157 " "
y[1] (numeric) = 0.34373787870262856 " "
absolute error = 7.6993966757754610000000000000E-14 " "
relative error = 2.239903470876428400000000000E-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 = 0.4994334047452044 " "
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) = 0.3468010572865259 " "
y[1] (numeric) = 0.3468010572866031 " "
absolute error = 7.72160113626796400000000000000E-14 " "
relative error = 2.226521798025662400000000000E-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 = 0.499809420007091 " "
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) = 0.3497925563621038 " "
y[1] (numeric) = 0.3497925563621812 " "
absolute error = 7.73825448163734100000000000000E-14 " "
relative error = 2.21224103855049810000000000E-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 = 0.4999855181650119 " "
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) = 0.35271307677353736 " "
y[1] (numeric) = 0.35271307677361496 " "
absolute error = 7.76045894212984400000000000000E-14 " "
relative error = 2.200218663033159000000000000E-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 = 0.49996162878205136 " "
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) = 0.35556332646288613 " "
y[1] (numeric) = 0.3555633264629636 " "
absolute error = 7.74935671188359300000000000000E-14 " "
relative error = 2.17945894166688580000000000E-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 = 0.4997377614136439 " "
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) = 0.35834402039922253 " "
y[1] (numeric) = 0.35834402039930013 " "
absolute error = 7.76045894212984400000000000000E-14 " "
relative error = 2.165644883228162200000000000E-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 = 0.4993140056037524 " "
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) = 0.36105588050713733 " "
y[1] (numeric) = 0.3610558805072148 " "
absolute error = 7.74935671188359300000000000000E-14 " "
relative error = 2.14630397405489800000000000E-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 = 0.49869053084905085 " "
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) = 0.3636996355945459 " "
y[1] (numeric) = 0.3636996355946235 " "
absolute error = 7.76045894212984400000000000000E-14 " "
relative error = 2.13375494023899500000000000E-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 = 0.497867586531128 " "
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) = 0.3662760212798095 " "
y[1] (numeric) = 0.3662760212798872 " "
absolute error = 7.7660100572529700000000000000E-14 " "
relative error = 2.120261662261607700000000000E-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 = 0.4968455018167386 " "
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) = 0.3687857799181735 " "
y[1] (numeric) = 0.36878577991825107 " "
absolute error = 7.75490782700671800000000000000E-14 " "
relative error = 2.102821813988430500000000000E-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 = 0.49562468552614103 " "
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) = 0.3712296605275318 " "
y[1] (numeric) = 0.3712296605276095 " "
absolute error = 7.7660100572529700000000000000E-14 " "
relative error = 2.091969172457062700000000000E-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 = 0.4942056259695741 " "
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) = 0.3736084187135269 " "
y[1] (numeric) = 0.3736084187136047 " "
absolute error = 7.77711228749922200000000000000E-14 " "
relative error = 2.08162126385661200000000000E-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 = 0.49258889075193973 " "
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) = 0.37592281659398896 " "
y[1] (numeric) = 0.37592281659406707 " "
absolute error = 7.81041897823797600000000000000E-14 " "
relative error = 2.077665582792631600000000000E-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 = 0.4907751265457688 " "
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) = 0.37817362272272614 " "
y[1] (numeric) = 0.37817362272280397 " "
absolute error = 7.78266340262234700000000000000E-14 " "
relative error = 2.05796040098982100000000000E-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 = 0.48876505883256094 " "
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) = 0.38036161201266694 " "
y[1] (numeric) = 0.3803616120127449 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 2.049041066901632300000000000E-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 = 0.4865594916126002 " "
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) = 0.38248756565837283 " "
y[1] (numeric) = 0.3824875656584508 " "
absolute error = 7.79931674799172500000000000000E-14 " "
relative error = 2.039103345638654300000000000E-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 = 0.48415930708336835 " "
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) = 0.38455227105791767 " "
y[1] (numeric) = 0.3845522710579955 " "
absolute error = 7.78266340262234700000000000000E-14 " "
relative error = 2.02382458468180400000000000E-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 = 0.48156546528667427 " "
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) = 0.386556521734148 " "
y[1] (numeric) = 0.3865565217342263 " "
absolute error = 7.82707232360735400000000000000E-14 " "
relative error = 2.02481962753958580000000000E-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 = 0.4787790037246528 " "
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) = 0.3885011172553341 " "
y[1] (numeric) = 0.3885011172554124 " "
absolute error = 7.8326234387304790000000000000E-14 " "
relative error = 2.01611349127283300000000000E-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 = 0.47580103694477616 " "
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) = 0.39038686315521076 " "
y[1] (numeric) = 0.390386863155289 " "
absolute error = 7.82152120848422800000000000000E-14 " "
relative error = 2.003530842525951500000000000E-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 = 0.4726327560940513 " "
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) = 0.39221457085242584 " "
y[1] (numeric) = 0.3922145708525041 " "
absolute error = 7.82707232360735400000000000000E-14 " "
relative error = 1.995609777218694500000000000E-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 = 0.46927542844257464 " "
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) = 0.3939850575693997 " "
y[1] (numeric) = 0.3939850575694779 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 1.983823991087360600000000000E-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 = 0.4657303968766432 " "
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) = 0.3956991462506023 " "
y[1] (numeric) = 0.3956991462506807 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 1.980841916926848500000000000E-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 = 0.46199907936161705 " "
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) = 0.3973576654802611 " "
y[1] (numeric) = 0.3973576654803395 " "
absolute error = 7.84372566897673100000000000000E-14 " "
relative error = 1.973971147504230700000000000E-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 = 0.4580829683747517 " "
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) = 0.39896144939950196 " "
y[1] (numeric) = 0.39896144939958017 " "
absolute error = 7.82152120848422800000000000000E-14 " "
relative error = 1.96047042145470800000000000E-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 = 0.4539836303082282 " "
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) = 0.40051133762293567 " "
y[1] (numeric) = 0.40051133762301394 " "
absolute error = 7.82707232360735400000000000000E-14 " "
relative error = 1.954269851650543800000000000E-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 = 0.44970270484261565 " "
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) = 0.4020081751546982 " "
y[1] (numeric) = 0.4020081751547767 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 1.952516707173765400000000000E-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 = 0.44524190429102206 " "
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) = 0.4034528123039509 " "
y[1] (numeric) = 0.40345281230402935 " "
absolute error = 7.84372566897673100000000000000E-14 " "
relative error = 1.944149459309623400000000000E-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 = 0.44060301291419185 " "
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) = 0.4048461045998488 " "
y[1] (numeric) = 0.40484610459992754 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.944314433350558300000000000E-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 = 0.4357878862068243 " "
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) = 0.406188912705991 " "
y[1] (numeric) = 0.4061889127060694 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 1.92968697782429600000000000E-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 = 0.4307984501554018 " "
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) = 0.40748210233435156 " "
y[1] (numeric) = 0.40748210233443 " "
absolute error = 7.84372566897673100000000000000E-14 " "
relative error = 1.92492519893320700000000000E-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 = 0.42563670046782 " "
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) = 0.40872654415871246 " "
y[1] (numeric) = 0.40872654415879095 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 1.920422565227842800000000000E-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 = 0.42030470177513113 " "
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) = 0.40992311372759493 " "
y[1] (numeric) = 0.4099231137276735 " "
absolute error = 7.85482789922298300000000000000E-14 " "
relative error = 1.916171017485666600000000000E-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 = 0.4148045868057203 " "
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) = 0.411072691376706 " "
y[1] (numeric) = 0.41107269137678454 " "
absolute error = 7.85482789922298300000000000000E-14 " "
relative error = 1.91081238525398380000000000E-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 = 0.4091385555322415 " "
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) = 0.41217616214090524 " "
y[1] (numeric) = 0.41217616214098385 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.9070435741645300000000000E-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 = 0.40330887429165757 " "
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) = 0.4132344156657024 " "
y[1] (numeric) = 0.4132344156657813 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.908876485336851700000000000E-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 = 0.397317874878737 " "
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) = 0.4142483461182942 " "
y[1] (numeric) = 0.4142483461183729 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.900184108965531600000000000E-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 = 0.391167953613366 " "
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) = 0.41521885209814613 " "
y[1] (numeric) = 0.4152188520982251 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.902427305574466200000000000E-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 = 0.38486157038205265 " "
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) = 0.4161468365471368 " "
y[1] (numeric) = 0.4161468365472154 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.888847474983933200000000000E-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 = 0.378401247654006 " "
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) = 0.41703320665926014 " "
y[1] (numeric) = 0.4170332066593388 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.886163980197420300000000000E-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 = 0.37178956947218 " "
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) = 0.4178788737899106 " "
y[1] (numeric) = 0.4178788737899895 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.887660536274803600000000000E-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 = 0.3650291804196936 " "
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) = 0.4186847533647471 " "
y[1] (numeric) = 0.4186847533648258 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.880049651040178700000000000E-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 = 0.3581227845620298 " "
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) = 0.4194517647881497 " "
y[1] (numeric) = 0.41945176478822854 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.87925862675052180000000000E-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 = 0.3510731443654481 " "
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) = 0.4201808313512825 " "
y[1] (numeric) = 0.4201808313513612 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.87335562626168200000000000E-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 = 0.34388307959203346 " "
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) = 0.420872880139763 " "
y[1] (numeric) = 0.4208728801398417 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.870275234170091500000000000E-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 = 0.3365554661718282 " "
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) = 0.42152884194095575 " "
y[1] (numeric) = 0.4215288419410346 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.87131550800660070000000000E-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 = 0.3290932350525007 " "
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) = 0.4221496511508942 " "
y[1] (numeric) = 0.4221496511509732 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.87119349706260100000000000E-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 = 0.32149937102700354 " "
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) = 0.42273624568084167 " "
y[1] (numeric) = 0.4227362456809204 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.862031307941166600000000000E-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 = 0.3137769115396963 " "
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) = 0.42328956686350017 " "
y[1] (numeric) = 0.42328956686357877 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.8569744283068700000000000E-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 = 0.3059289454714101 " "
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) = 0.423810559358879 " "
y[1] (numeric) = 0.4238105593589579 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.861240692514726800000000000E-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 = 0.29795861190393325 " "
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) = 0.4243001710598304 " "
y[1] (numeric) = 0.424300171059909 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.852551460140165500000000000E-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 = 0.2898690988644235 " "
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) = 0.4247593529972582 " "
y[1] (numeric) = 0.4247593529973368 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.85054877753259180000000000E-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 = 0.2816636420502378 " "
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) = 0.42518905924501826 " "
y[1] (numeric) = 0.42518905924509687 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.84867856861211180000000000E-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 = 0.27334552353469715 " "
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) = 0.4255902468245105 " "
y[1] (numeric) = 0.4255902468245892 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.848240223585927400000000000E-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 = 0.2649180704543005 " "
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) = 0.4259638756089781 " "
y[1] (numeric) = 0.4259638756090568 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.847922252406713800000000000E-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 = 0.25638465367791663 " "
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) = 0.4263109082275205 " "
y[1] (numeric) = 0.4263109082275993 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.849022233001767000000000000E-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 = 0.24774868645847775 " "
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) = 0.42663230996883206 " "
y[1] (numeric) = 0.4266323099689108 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.845026984751205700000000000E-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 = 0.23901362306772736 " "
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) = 0.42692904868467285 " "
y[1] (numeric) = 0.4269290486847516 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.845044834495066800000000000E-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 = 0.2301829574145557 " "
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) = 0.42720209469308523 " "
y[1] (numeric) = 0.42720209469316417 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.847763810885787700000000000E-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 = 0.22126022164748346 " "
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) = 0.427452420681363 " "
y[1] (numeric) = 0.42745242068144185 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.8440844158219300000000000E-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 = 0.212248984741849 " "
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) = 0.4276810016087822 " "
y[1] (numeric) = 0.42768100160886113 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.84569472934071300000000000E-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 = 0.20315285107226655 " "
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) = 0.42788881460910777 " "
y[1] (numeric) = 0.4278888146091865 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.839609023615924600000000000E-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 = 0.19397545897092405 " "
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) = 0.42807683889287906 " "
y[1] (numeric) = 0.4280768388929577 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.837504255033425600000000000E-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 = 0.18472047927229787 " "
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) = 0.42824605564949114 " "
y[1] (numeric) = 0.4282460556495698 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.836778185274706700000000000E-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 = 0.1753916138448696 " "
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) = 0.42839744794907597 " "
y[1] (numeric) = 0.42839744794915485 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.841312227167937500000000000E-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 = 0.16599259411042722 " "
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) = 0.42853200064419705 " "
y[1] (numeric) = 0.4285320006442757 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.835552564953062700000000000E-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 = 0.1565271795515456 " "
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) = 0.42865070027136287 " "
y[1] (numeric) = 0.4286507002714417 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.838929335668515200000000000E-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 = 0.1469991562078446 " "
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) = 0.4287545349523769 " "
y[1] (numeric) = 0.42875453495245575 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.838483988446712200000000000E-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) = 0.4288444942955243 " "
y[1] (numeric) = 0.4288444942956029 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.832920585178221300000000000E-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) = 0.42892156929661174 " "
y[1] (numeric) = 0.42892156929669056 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.83776803012384200000000000E-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) = 0.4289867522398709 " "
y[1] (numeric) = 0.42898675223994953 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 1.832312763344011700000000000E-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) = 0.4290410365987276 " "
y[1] (numeric) = 0.4290410365988065 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.838550142544833600000000000E-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) = 0.42908541693645885 " "
y[1] (numeric) = 0.4290854169365375 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.83318514659146800000000000E-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) = 0.42912088880673394 " "
y[1] (numeric) = 0.4291208888068125 " "
absolute error = 7.85482789922298300000000000000E-14 " "
relative error = 1.830446408951351400000000000E-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) = 0.429148448654062 " "
y[1] (numeric) = 0.42914844865414065 " "
absolute error = 7.86593012946923400000000000000E-14 " "
relative error = 1.832915895219741600000000000E-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) = 0.42916909371414813 " "
y[1] (numeric) = 0.4291690937142269 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.835414636115911300000000000E-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) = 0.42918382191417015 " "
y[1] (numeric) = 0.42918382191424914 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.840525298688380800000000000E-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) = 0.42919363177298764 " "
y[1] (numeric) = 0.42919363177306635 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.834016318479721500000000000E-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) = 0.42919952230128855 " "
y[1] (numeric) = 0.4291995223013675 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.83916460641903300000000000E-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) = 0.42920249290169266 " "
y[1] (numeric) = 0.42920249290177137 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833978454173446600000000000E-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) = 0.4292035432688084 " "
y[1] (numeric) = 0.4292035432688871 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833973965975039500000000000E-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 = 9.203153466590404000E-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) = 0.4292036732892668 " "
y[1] (numeric) = 0.4292036732893455 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.83397341040165900000000000E-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 = 7.9632645817990930000E-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) = 0.4292038829417326 " "
y[1] (numeric) = 0.4292038829418114 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.835265866125644400000000000E-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 = 1.079548786298449400E-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) = 0.42920517219690746 " "
y[1] (numeric) = 0.42920517219698634 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.837847048670438500000000000E-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) = 0.4292085409175339 " "
y[1] (numeric) = 0.4292085409176126 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833952611419433500000000000E-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) = 0.4292149887584089 " "
y[1] (numeric) = 0.4292149887584877 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.83521837913941300000000000E-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) = 0.4292255150664208 " "
y[1] (numeric) = 0.42922551506649953 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 1.833880085943698500000000000E-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) = 0.429241118780614 " "
y[1] (numeric) = 0.42924111878069277 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.835106660352698600000000000E-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) = 0.42926279833229697 " "
y[1] (numeric) = 0.42926279833237574 " "
absolute error = 7.87703235971548600000000000000E-14 " "
relative error = 1.83501397985524700000000000E-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) = 0.42929155154519916 " "
y[1] (numeric) = 0.429291551545278 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.83618416119905200000000000E-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) = 0.42932837553569003 " "
y[1] (numeric) = 0.4293283755357689 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.837319646091269400000000000E-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) = 0.429374266613068 " "
y[1] (numeric) = 0.4293742666131468 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.835830436932548200000000000E-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) = 0.42943022017993004 " "
y[1] (numeric) = 0.4294302201800089 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.836883903200066400000000000E-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) = 0.429497230632633 " "
y[1] (numeric) = 0.42949723063271183 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.835304843113392500000000000E-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) = 0.4295762912618539 " "
y[1] (numeric) = 0.4295762912619328 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.83625929792140680000000000E-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) = 0.42966839415326263 " "
y[1] (numeric) = 0.42966839415334157 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.837157634235760700000000000E-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) = 0.42977453008831357 " "
y[1] (numeric) = 0.4297745300883924 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.834120666298869300000000000E-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 = 0.14852067565335555 " "
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) = 0.4298956884451679 " "
y[1] (numeric) = 0.4298956884452469 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.837477563168330700000000000E-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 = 0.15803898210846667 " "
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) = 0.430032857099758 " "
y[1] (numeric) = 0.430032857099837 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.836891458360248600000000000E-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 = 0.1674940750778929 " "
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) = 0.43018702232699946 " "
y[1] (numeric) = 0.4301870223270784 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.834942779627743000000000000E-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 = 0.17688217265051215 " "
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) = 0.4303591687021644 " "
y[1] (numeric) = 0.4303591687022434 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.8354986705708498000000000E-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 = 0.18619951971246887 " "
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) = 0.4305502790024258 " "
y[1] (numeric) = 0.43055027900250464 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.83081601830623770000000000E-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 = 0.1954423894491679 " "
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) = 0.4307613341085792 " "
y[1] (numeric) = 0.43076133410865813 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.83249634543455890000000000E-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 = 0.20460708483595097 " "
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) = 0.43099331290695697 " "
y[1] (numeric) = 0.4309933129070358 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.82893405507205800000000000E-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 = 0.21368994011685766 " "
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) = 0.43124719219153884 " "
y[1] (numeric) = 0.4312471921916178 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.830431791328365500000000000E-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 = 0.22268732227087895 " "
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) = 0.431523946566275 " "
y[1] (numeric) = 0.4315239465663539 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.827971460849218000000000000E-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 = 0.23159563246511627 " "
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) = 0.43182454834762507 " "
y[1] (numeric) = 0.431824548347704 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.82798447547505600000000000E-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 = 0.24041130749426864 " "
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) = 0.43214996746732814 " "
y[1] (numeric) = 0.43214996746740714 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.827892494474200300000000000E-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 = 0.24913082120586452 " "
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) = 0.43250117137541033 " "
y[1] (numeric) = 0.4325011713754892 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.823841208308508400000000000E-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 = 0.257750685910678 " "
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) = 0.43287912494343983 " "
y[1] (numeric) = 0.4328791249435188 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.82481352530919700000000000E-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 = 0.26626745377775707 " "
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) = 0.4332847903680419 " "
y[1] (numeric) = 0.4332847903681208 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.820542692777509800000000000E-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 = 0.27467771821351034 " "
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) = 0.4337191270746785 " "
y[1] (numeric) = 0.4337191270747574 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.81871955778504200000000000E-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 = 0.28297811522429933 " "
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) = 0.43418309162170754 " "
y[1] (numeric) = 0.43418309162178664 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.821890166406183500000000000E-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 = 0.2911653247619894 " "
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) = 0.4346776376047281 " "
y[1] (numeric) = 0.4346776376048071 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.81726321688329420000000000E-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 = 0.29923607205192765 " "
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) = 0.4352037155612203 " "
y[1] (numeric) = 0.43520371556129933 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.81634201471314100000000000E-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 = 0.30718712890280586 " "
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) = 0.43576227287549374 " "
y[1] (numeric) = 0.4357622728755728 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.81401383905248600000000000E-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 = 0.31501531499789703 " "
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) = 0.4363542536839491 " "
y[1] (numeric) = 0.43635425368402814 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.811552853809589600000000000E-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 = 0.322717499167137 " "
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) = 0.43698059878066564 " "
y[1] (numeric) = 0.4369805987807446 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.806415599939930600000000000E-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 = 0.33029060063955284 " "
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) = 0.4376422455233222 " "
y[1] (numeric) = 0.4376422455234011 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.802416167691785200000000000E-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 = 0.33773159027552885 " "
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) = 0.4383401277394625 " "
y[1] (numeric) = 0.4383401277395415 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.80207932614900400000000000E-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 = 0.3450374917784224 " "
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) = 0.4390751756331135 " "
y[1] (numeric) = 0.4390751756331924 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.797798222981465700000000000E-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 = 0.35220538288504327 " "
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) = 0.43984831569176475 " "
y[1] (numeric) = 0.43984831569184374 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.79590020886736500000000000E-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 = 0.3592323965345192 " "
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) = 0.4406604705937216 " "
y[1] (numeric) = 0.44066047059380054 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.79133056669443200000000000E-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 = 0.36611572201508263 " "
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) = 0.4415125591158373 " "
y[1] (numeric) = 0.44151255911591614 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.78535883342120300000000000E-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 = 0.372852606088318 " "
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) = 0.44240549604163615 " "
y[1] (numeric) = 0.4424054960417151 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.784264837510509400000000000E-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 = 0.3794403540904199 " "
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) = 0.44334019206983677 " "
y[1] (numeric) = 0.4433401920699156 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.777998840582654400000000000E-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 = 0.3858763310100226 " "
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) = 0.4443175537232815 " "
y[1] (numeric) = 0.44431755372336046 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.776586506415861000000000000E-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 = 0.3921579625421708 " "
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) = 0.4453384832582865 " "
y[1] (numeric) = 0.4453384832583655 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.77376021097790580000000000E-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 = 0.39828273611800513 " "
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) = 0.44640387857441577 " "
y[1] (numeric) = 0.4464038785744947 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.76828340521888670000000000E-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 = 0.4042482019097579 " "
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) = 0.447514633124692 " "
y[1] (numeric) = 0.4475146331247709 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.763894434014055500000000000E-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 = 0.41005197381065095 " "
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) = 0.4486716358262526 " "
y[1] (numeric) = 0.44867163582633146 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.758108594369982800000000000E-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 = 0.4156917303893064 " "
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) = 0.44987577097145803 " "
y[1] (numeric) = 0.4498757709715371 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.75710461540562220000000000E-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 = 0.42116521581828886 " "
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) = 0.4511279181394645 " "
y[1] (numeric) = 0.45112791813954334 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.747305621728722500000000000E-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 = 0.42647024077640516 " "
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) = 0.4524289521082647 " "
y[1] (numeric) = 0.4524289521083436 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.743507915044776300000000000E-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 = 0.4316046833244051 " "
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) = 0.453779742767213 " "
y[1] (numeric) = 0.4537797427672919 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.73831792090558680000000000E-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 = 0.43656648975372764 " "
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) = 0.45518115503003576 " "
y[1] (numeric) = 0.45518115503011464 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.73296598569447100000000000E-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 = 0.4413536754079572 " "
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) = 0.4566340487483411 " "
y[1] (numeric) = 0.45663404874842006 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.728667786977753000000000000E-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 = 0.4459643254766613 " "
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) = 0.45813927862563486 " "
y[1] (numeric) = 0.45813927862571385 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.72419986426503100000000000E-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 = 0.4503965957612863 " "
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) = 0.45969769413185024 " "
y[1] (numeric) = 0.4596976941319293 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.71956223323231800000000000E-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 = 0.45464871341281476 " "
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) = 0.46131013941840204 " "
y[1] (numeric) = 0.4613101394184811 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.71355174314986800000000000E-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 = 0.4587189776408799 " "
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) = 0.46297745323377204 " "
y[1] (numeric) = 0.46297745323385103 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.706181751407970500000000000E-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 = 0.4626057603940603 " "
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) = 0.46470046883963456 " "
y[1] (numeric) = 0.46470046883971367 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.7022446889727700000000000E-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 = 0.4663075070110775 " "
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) = 0.4664800139275318 " "
y[1] (numeric) = 0.46648001392761096 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.69694090405491800000000000E-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 = 0.4698227368426408 " "
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) = 0.4683169105361047 " "
y[1] (numeric) = 0.46831691053618374 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.68791426435618700000000000E-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 = 0.4731500438436868 " "
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) = 0.47021197496888956 " "
y[1] (numeric) = 0.47021197496896866 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.682292130262656200000000000E-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 = 0.47628809713577863 " "
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) = 0.4721660177126894 " "
y[1] (numeric) = 0.4721660177127683 " "
absolute error = 7.88813458996173700000000000000E-14 " "
relative error = 1.670627341665580600000000000E-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 = 0.47923564153943904 " "
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) = 0.4741798433565243 " "
y[1] (numeric) = 0.4741798433566033 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.665873598568116000000000000E-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 = 0.48199149807620734 " "
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) = 0.4762542505111751 " "
y[1] (numeric) = 0.4762542505112542 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.660948756250234800000000000E-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 = 0.4845545644402126 " "
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) = 0.47839003172932193 " "
y[1] (numeric) = 0.4783900317294009 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.65121267089391600000000000E-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 = 0.48692381543908336 " "
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) = 0.480587973426289 " "
y[1] (numeric) = 0.4805879734263681 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.645971078730604500000000000E-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 = 0.4890983034040092 " "
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) = 0.48284885580140546 " "
y[1] (numeric) = 0.4828488558014844 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.634815037923899600000000000E-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 = 0.4910771585687974 " "
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) = 0.485173452759984 " "
y[1] (numeric) = 0.485173452760063 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.628126348478459000000000000E-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 = 0.49285958941776625 " "
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) = 0.4875625318359329 " "
y[1] (numeric) = 0.48756253183601195 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.62128699790883700000000000E-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 = 0.4944448830023413 " "
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) = 0.4900168541150023 " "
y[1] (numeric) = 0.4900168541150812 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.610900857551379200000000000E-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 = 0.4958324052262263 " "
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) = 0.49253717415867593 " "
y[1] (numeric) = 0.49253717415875486 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.60265785391090700000000000E-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 = 0.49702160109903104 " "
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) = 0.49512423992871635 " "
y[1] (numeric) = 0.49512423992879545 " "
absolute error = 7.9103390504542400000000000000E-14 " "
relative error = 1.59764729991670400000000000E-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 = 0.49801199495826276 " "
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) = 0.4977787927123696 " "
y[1] (numeric) = 0.49777879271244857 " "
absolute error = 7.89923682020798900000000000000E-14 " "
relative error = 1.58689701848595800000000000E-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 = 0.49880319065958256 " "
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) = 0.5005015670482356 " "
y[1] (numeric) = 0.5005015670483147 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.581591484770411800000000000E-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 = 0.49939487173525887 " "
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) = 0.5032932906528167 " "
y[1] (numeric) = 0.5032932906528959 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.57281853594943500000000000E-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 = 0.49978680152075083 " "
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) = 0.5061546843477458 " "
y[1] (numeric) = 0.5061546843478247 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.559540185873618800000000000E-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 = 0.49997882324936943 " "
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) = 0.509086461987704 " "
y[1] (numeric) = 0.5090864619877831 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.55273976535680100000000000E-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 = 0.49997086011498376 " "
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) = 0.5120893303890377 " "
y[1] (numeric) = 0.5120893303891166 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.54146654434060900000000000E-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 = 0.4997629153027414 " "
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) = 0.5151639892590754 " "
y[1] (numeric) = 0.5151639892591544 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.534421679337490700000000000E-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 = 0.49935507198779466 " "
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) = 0.5183111311261592 " "
y[1] (numeric) = 0.5183111311262383 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.525104799149500400000000000E-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 = 0.4987474933020317 " "
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) = 0.5215314412703917 " "
y[1] (numeric) = 0.5215314412704708 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.515687705438418800000000000E-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 = 0.49794042226882573 " "
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) = 0.5248255976551086 " "
y[1] (numeric) = 0.5248255976551879 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 1.510405062413300000000000E-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 = 0.4969341817058293 " "
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) = 0.5281942708590837 " "
y[1] (numeric) = 0.5281942708591628 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.498670205699606500000000000E-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 = 0.4957291740958515 " "
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) = 0.5316381240094701 " "
y[1] (numeric) = 0.5316381240095491 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.486873792217035800000000000E-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 = 0.49432588142586925 " "
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) = 0.5351578127154892 " "
y[1] (numeric) = 0.5351578127155684 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.479169317441276500000000000E-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 = 0.4927248649942408 " "
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) = 0.5387539850028704 " "
y[1] (numeric) = 0.5387539850029497 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 1.471356614797268700000000000E-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 = 0.4909267651861918 " "
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) = 0.5424272812490487 " "
y[1] (numeric) = 0.5424272812491279 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.459345877174434400000000000E-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 = 0.4889323012176711 " "
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) = 0.5461783341191271 " "
y[1] (numeric) = 0.546178334119206 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.445257933531133000000000000E-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 = 0.4867422708476741 " "
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) = 0.5500077685026106 " "
y[1] (numeric) = 0.5500077685026897 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.439232428867010500000000000E-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 = 0.48435755005914827 " "
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) = 0.5539162014509194 " "
y[1] (numeric) = 0.5539162014509985 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.429077204249055700000000000E-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 = 0.48177909270861324 " "
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) = 0.5579042421156821 " "
y[1] (numeric) = 0.5579042421157612 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.416871810358460700000000000E-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 = 0.47900793014463044 " "
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) = 0.5619724916878224 " "
y[1] (numeric) = 0.5619724916879014 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.406614745784078600000000000E-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 = 0.476045170795277 " "
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) = 0.5661215433374398 " "
y[1] (numeric) = 0.5661215433375189 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.396305798350341600000000000E-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 = 0.47289199972478985 " "
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) = 0.5703519821544936 " "
y[1] (numeric) = 0.5703519821545727 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.387895617663191800000000000E-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 = 0.4695496781595554 " "
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) = 0.5746643850902944 " "
y[1] (numeric) = 0.5746643850903734 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.37554860548545600000000000E-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 = 0.466019542983636 " "
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) = 0.5790593208998087 " "
y[1] (numeric) = 0.5790593208998878 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.365108487166349400000000000E-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 = 0.4623030062040339 " "
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) = 0.5835373500847847 " "
y[1] (numeric) = 0.5835373500848638 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.356535303940224500000000000E-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 = 0.4584015543859084 " "
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) = 0.5880990248377025 " "
y[1] (numeric) = 0.5880990248377815 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.344125326089870000000000000E-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 = 0.45431674805796785 " "
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) = 0.5927448889865545 " "
y[1] (numeric) = 0.5927448889866336 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.333590231177923000000000000E-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 = 0.45005022108827997 " "
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) = 0.5974754779404643 " "
y[1] (numeric) = 0.5974754779405435 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.324889549084749000000000000E-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 = 0.445603680030746 " "
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) = 0.6022913186361454 " "
y[1] (numeric) = 0.6022913186362245 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.314295909743884700000000000E-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 = 0.4409789034425031 " "
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) = 0.6071929294852081 " "
y[1] (numeric) = 0.6071929294852871 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.301857704771525200000000000E-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 = 0.4361777411725236 " "
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) = 0.6121808203223185 " "
y[1] (numeric) = 0.6121808203223977 " "
absolute error = 7.92699239582361800000000000000E-14 " "
relative error = 1.294877613390433800000000000E-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 = 0.4312021136217011 " "
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) = 0.6172554923542168 " "
y[1] (numeric) = 0.6172554923542958 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.278836041616785000000000000E-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 = 0.4260540109747143 " "
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) = 0.6224174381095948 " "
y[1] (numeric) = 0.6224174381096738 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.268230165443235700000000000E-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 = 0.4207354924039822 " "
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) = 0.6276671413898454 " "
y[1] (numeric) = 0.6276671413899244 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.259391708450360900000000000E-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 = 0.41524868524602 " "
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) = 0.6330050772206821 " "
y[1] (numeric) = 0.6330050772207612 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.248771648094585300000000000E-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 = 0.4095957841505351 " "
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) = 0.638431711804637 " "
y[1] (numeric) = 0.6384317118047158 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.234679187936503600000000000E-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 = 0.4037790502025939 " "
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) = 0.6439475024744401 " "
y[1] (numeric) = 0.6439475024745189 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.22410343149851600000000000E-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 = 0.39780081001822104 " "
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) = 0.6495528976472877 " "
y[1] (numeric) = 0.6495528976473667 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.215249094211753600000000000E-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 = 0.3916634548137806 " "
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) = 0.6552483367800006 " "
y[1] (numeric) = 0.6552483367800797 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.206380465485278200000000000E-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 = 0.38536943944952445 " "
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) = 0.6610342503250786 " "
y[1] (numeric) = 0.6610342503251574 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.192462186484614400000000000E-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 = 0.37892128144767934 " "
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) = 0.6669110596876546 " "
y[1] (numeric) = 0.6669110596877337 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.185283677711581600000000000E-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 = 0.37232155998547145 " "
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) = 0.6728791771833573 " "
y[1] (numeric) = 0.6728791771834363 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.173120817637348400000000000E-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 = 0.3655729148634907 " "
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) = 0.6789390059970768 " "
y[1] (numeric) = 0.6789390059971557 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.16265019911359300000000000E-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 = 0.358678045449805 " "
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) = 0.6850909401426482 " "
y[1] (numeric) = 0.6850909401427272 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.15383045843303610000000000E-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 = 0.35163970960024965 " "
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) = 0.6913353644234506 " "
y[1] (numeric) = 0.6913353644235294 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.140196767080244700000000000E-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 = 0.3444607225553209 " "
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) = 0.6976726543939258 " "
y[1] (numeric) = 0.6976726543940046 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.129839821755129600000000000E-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 = 0.33714395581411866 " "
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) = 0.7041031763220247 " "
y[1] (numeric) = 0.7041031763221036 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.121097868968375700000000000E-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 = 0.32969233598578374 " "
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) = 0.7106272871525801 " "
y[1] (numeric) = 0.710627287152659 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.110805319158817600000000000E-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 = 0.3221088436188933 " "
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) = 0.7172453344716121 " "
y[1] (numeric) = 0.7172453344716911 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.102103778918896300000000000E-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 = 0.3143965120092829 " "
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) = 0.7239576564715708 " "
y[1] (numeric) = 0.7239576564716498 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.090351850625788800000000000E-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 = 0.3065584259867662 " "
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) = 0.7307645819175164 " "
y[1] (numeric) = 0.7307645819175953 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.080195441926309200000000000E-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 = 0.2985977206812463 " "
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) = 0.737666430114243 " "
y[1] (numeric) = 0.7376664301143222 " "
absolute error = 7.91589016557736600000000000000E-14 " "
relative error = 1.073098875375340700000000000E-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 = 0.2905175802687034 " "
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) = 0.74466351087435 " "
y[1] (numeric) = 0.744663510874429 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.060033906564920400000000000E-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 = 0.28232123669756926 " "
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) = 0.7517561244872584 " "
y[1] (numeric) = 0.7517561244873372 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.048555936968919900000000000E-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 = 0.2740119683959892 " "
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) = 0.7589445616891839 " "
y[1] (numeric) = 0.7589445616892628 " "
absolute error = 7.89368570508486300000000000000E-14 " "
relative error = 1.040087261119030500000000000E-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 = 0.26559309896049443 " "
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) = 0.7662291036340638 " "
y[1] (numeric) = 0.7662291036341426 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.02875020505657800000000000E-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 = 0.25706799582661 " "
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) = 0.7736100218654403 " "
y[1] (numeric) = 0.7736100218655193 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.021805265173523500000000000E-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 = 0.2484400689219225 " "
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) = 0.7810875782893083 " "
y[1] (numeric) = 0.7810875782893871 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 1.009180493191631400000000000E-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 = 0.23971276930215635 " "
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) = 0.7886620251479228 " "
y[1] (numeric) = 0.7886620251480017 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 9.99488148723801000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.7963336049945771 " "
y[1] (numeric) = 0.7963336049946558 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.88465285807694000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8041025506693458 " "
y[1] (numeric) = 0.8041025506694245 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.789150946032983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8119690852758024 " "
y[1] (numeric) = 0.8119690852758811 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.694311504382763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8199334221587085 " "
y[1] (numeric) = 0.8199334221587871 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 9.586606426716232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8279957648826792 " "
y[1] (numeric) = 0.8279957648827577 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 9.479851367611813000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8361563072118274 " "
y[1] (numeric) = 0.836156307211906 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 9.400609606781093000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8444152330903874 " "
y[1] (numeric) = 0.8444152330904662 " "
absolute error = 7.88258347483861100000000000000E-14 " "
relative error = 9.33496124411442000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8527727166243206 " "
y[1] (numeric) = 0.8527727166243994 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.230456241319985000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8612289220639047 " "
y[1] (numeric) = 0.8612289220639834 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 9.139824549468952000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8697840037873092 " "
y[1] (numeric) = 0.8697840037873878 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 9.037162077158903000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8784381062851578 " "
y[1] (numeric) = 0.8784381062852363 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.935492128516372000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8871913641460789 " "
y[1] (numeric) = 0.8871913641461575 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 8.85984617525185100000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.8960439020432476 " "
y[1] (numeric) = 0.8960439020433263 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.784704886270676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9049958347219182 " "
y[1] (numeric) = 0.9049958347219967 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.673273934472566000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9140472669879491 " "
y[1] (numeric) = 0.9140472669880276 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.587386087773666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9231982936973232 " "
y[1] (numeric) = 0.9231982936974019 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.526316933567774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9324489997466624 " "
y[1] (numeric) = 0.9324489997467411 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.441728444913306000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9417994600647374 " "
y[1] (numeric) = 0.9417994600648159 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.334339864200299000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9512497396049745 " "
y[1] (numeric) = 0.9512497396050531 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 8.263212789535468000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9607998933389622 " "
y[1] (numeric) = 0.9607998933390408 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 8.181078150445873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9704499662509521 " "
y[1] (numeric) = 0.9704499662510306 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 8.088285905581746000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.980199993333361 " "
y[1] (numeric) = 0.9801999933334398 " "
absolute error = 7.8714812445923600000000000000E-14 " "
relative error = 8.030484899131508000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9900499995832731 " "
y[1] (numeric) = 0.9900499995833516 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 7.928161999296738000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 0.9999999999999377 " "
y[1] (numeric) = 1.0000000000000162 " "
absolute error = 7.84927678409985700000000000000E-14 " "
relative error = 7.849276784100346000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0100499995832717 " "
y[1] (numeric) = 1.0100499995833503 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 7.782168226908726000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0201999933333588 " "
y[1] (numeric) = 1.0201999933334371 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.682978440573678000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.030449966250948 " "
y[1] (numeric) = 1.0304499662510267 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 7.62810351961509000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.040799893338957 " "
y[1] (numeric) = 1.0407998933390357 " "
absolute error = 7.86037901434610800000000000000E-14 " "
relative error = 7.552248097498815000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0512497396049683 " "
y[1] (numeric) = 1.0512497396050466 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.456053741139554000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0617994600647298 " "
y[1] (numeric) = 1.0617994600648082 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.381972631042562000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0724489997466538 " "
y[1] (numeric) = 1.0724489997467321 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.308668809151045000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0831982936973132 " "
y[1] (numeric) = 1.0831982936973916 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.236140048835683000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.0940472669879377 " "
y[1] (numeric) = 1.0940472669880161 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 7.164383834560618000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.1049958347219058 " "
y[1] (numeric) = 1.104995834721984 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 7.073302765279786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.116043902043234 " "
y[1] (numeric) = 1.1160439020433122 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 7.003281930981173000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.127191364146064 " "
y[1] (numeric) = 1.1271913641461422 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.934022333716434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.1384381062851416 " "
y[1] (numeric) = 1.1384381062852198 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.865520444379306000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.149784003787292 " "
y[1] (numeric) = 1.1497840037873701 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.797772509980964000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.161228922063886 " "
y[1] (numeric) = 1.1612289220639644 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.74989608416107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.1727727166243007 " "
y[1] (numeric) = 1.172772716624379 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.683455747857898000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.1844152330903666 " "
y[1] (numeric) = 1.1844152330904447 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.5990117950169690000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.1961563072118053 " "
y[1] (numeric) = 1.1961563072118835 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.534238080957688000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2079957648826558 " "
y[1] (numeric) = 1.207995764882734 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.470196602154762000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.219933422158684 " "
y[1] (numeric) = 1.219933422158762 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.40688249980943000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2319690852757765 " "
y[1] (numeric) = 1.231969085275855 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.362314320654424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2441025506693186 " "
y[1] (numeric) = 1.244102550669397 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.300264033408437000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2563336049945488 " "
y[1] (numeric) = 1.256333604994627 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.221253703863963000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2686620251478933 " "
y[1] (numeric) = 1.2686620251479717 " "
absolute error = 7.83817455385360500000000000000E-14 " "
relative error = 6.178299971530933000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2810875782892777 " "
y[1] (numeric) = 1.2810875782893558 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.101042759151792000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.2936100218654085 " "
y[1] (numeric) = 1.2936100218654867 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 6.041983257125927000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.3062291036340308 " "
y[1] (numeric) = 1.3062291036341087 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.966614594013974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.3189445616891498 " "
y[1] (numeric) = 1.3189445616892277 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.909092663369608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.331756124487223 " "
y[1] (numeric) = 1.3317561244873009 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.852246886320495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.3446635108743135 " "
y[1] (numeric) = 1.3446635108743914 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.796071336687805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.3576664301142056 " "
y[1] (numeric) = 1.3576664301142833 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 5.724205150835437000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.3707645819174774 " "
y[1] (numeric) = 1.3707645819175553 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.685706893569125000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.3839576564715308 " "
y[1] (numeric) = 1.3839576564716087 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.6315058458791250000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.397245334471571 " "
y[1] (numeric) = 1.397245334471649 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.577950729616249000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.4106272871525376 " "
y[1] (numeric) = 1.4106272871526155 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.5250353540239040000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.4241031763219811 " "
y[1] (numeric) = 1.424103176322059 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.472753493182628000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.437672654393881 " "
y[1] (numeric) = 1.4376726543939589 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.42109889135676000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.4513353644234046 " "
y[1] (numeric) = 1.4513353644234825 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.370065268109107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.4650909401426013 " "
y[1] (numeric) = 1.4650909401426793 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.31964632319002000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.4789390059970287 " "
y[1] (numeric) = 1.4789390059971066 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.2698357412072050000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.492879177183308 " "
y[1] (numeric) = 1.492879177183386 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.2206271960826050000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.5069110596876045 " "
y[1] (numeric) = 1.5069110596876822 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 5.1572792716692950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.5210342503250271 " "
y[1] (numeric) = 1.5210342503251049 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 5.109392619341350000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.535248336779948 " "
y[1] (numeric) = 1.535248336780026 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.07655044864947100000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.5495528976472341 " "
y[1] (numeric) = 1.549552897647312 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 5.029686721055004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.5639475024743852 " "
y[1] (numeric) = 1.5639475024744631 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.983393381515533000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.578431711804581 " "
y[1] (numeric) = 1.578431711804659 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.9376641222940104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.5930050772206252 " "
y[1] (numeric) = 1.5930050772207032 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.892492650724422000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6076671413897874 " "
y[1] (numeric) = 1.6076671413898653 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.847872692186198700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6224174381095355 " "
y[1] (numeric) = 1.6224174381096135 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.8037979929197555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6372554923541562 " "
y[1] (numeric) = 1.6372554923542344 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.773824323608024000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6521808203222572 " "
y[1] (numeric) = 1.6521808203223352 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.717259477294034000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6671929294851457 " "
y[1] (numeric) = 1.6671929294852235 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.661464810060148000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6822913186360817 " "
y[1] (numeric) = 1.6822913186361599 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.646026527496976000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.6974754779404 " "
y[1] (numeric) = 1.6974754779404777 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.5783054149362873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.7127448889864887 " "
y[1] (numeric) = 1.7127448889865668 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.563417554838642000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.7280990248376358 " "
y[1] (numeric) = 1.7280990248377137 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.510022586003637500000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.743537350084717 " "
y[1] (numeric) = 1.743537350084795 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.470088141495739400000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.7590593208997403 " "
y[1] (numeric) = 1.759059320899818 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.418021086634546000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.7746643850902246 " "
y[1] (numeric) = 1.7746643850903028 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.404196173105561000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.790351982154423 " "
y[1] (numeric) = 1.790351982154501 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.365605295086021000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.806121543337368 " "
y[1] (numeric) = 1.8061215433374462 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.3274884363090427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.8219724916877498 " "
y[1] (numeric) = 1.8219724916878277 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.277652746364458700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.8379042421156084 " "
y[1] (numeric) = 1.8379042421156864 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.240572198634902000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.8539162014508448 " "
y[1] (numeric) = 1.8539162014509227 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.203947096837130600000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.8700077685025351 " "
y[1] (numeric) = 1.870007768502613 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.167771794397245000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.8861783341190503 " "
y[1] (numeric) = 1.8861783341191285 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.143812889787854000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.902427281248971 " "
y[1] (numeric) = 1.9024272812490493 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 4.108419896202184500000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.9187539850027924 " "
y[1] (numeric) = 1.91875398500287 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 4.050316628978772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.9351578127154099 " "
y[1] (numeric) = 1.9351578127154878 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 4.02745738960297030000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.9516381240093899 " "
y[1] (numeric) = 1.9516381240094676 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.982070793129631000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.9681942708590023 " "
y[1] (numeric) = 1.9681942708590803 " "
absolute error = 7.79376563286859900000000000000E-14 " "
relative error = 3.959855868022151000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 1.9848255976550266 " "
y[1] (numeric) = 1.9848255976551044 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.91548818271883040000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.0015314412703087 " "
y[1] (numeric) = 2.0015314412703864 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.882807440408596000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.018311131126075 " "
y[1] (numeric) = 2.018311131126153 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.850526835295267000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.0351639892589906 " "
y[1] (numeric) = 2.0351639892590683 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.8186412561307875000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.052089330388952 " "
y[1] (numeric) = 2.0520893303890295 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.787145645800458000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.0690864619876175 " "
y[1] (numeric) = 2.069086461987695 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.756035001510055000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.086154684347658 " "
y[1] (numeric) = 2.086154684347736 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.725304374927628000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.1032932906527284 " "
y[1] (numeric) = 2.103293290652806 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.694948872282237700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.1205015670481466 " "
y[1] (numeric) = 2.120501567048224 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.644021004968039000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.1377787927122793 " "
y[1] (numeric) = 2.137778792712357 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 3.635343936832692000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.1551242399286257 " "
y[1] (numeric) = 2.155124239928703 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.5854787896808216000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.172537174158584 " "
y[1] (numeric) = 2.1725371741586614 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.5567410966782590000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.19001685411491 " "
y[1] (numeric) = 2.190016854114987 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.5283528694641025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.2075625318358396 " "
y[1] (numeric) = 2.207562531835917 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.50030956765926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.22517345275989 " "
y[1] (numeric) = 2.225173452759967 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.472606704797362400000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.2428488558013107 " "
y[1] (numeric) = 2.242848855801388 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.445239848153023300000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.2605879734261936 " "
y[1] (numeric) = 2.260587973426271 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.418204618544289000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.2783900317292254 " "
y[1] (numeric) = 2.2783900317293027 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.3914966901107920000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.296254250511078 " "
y[1] (numeric) = 2.296254250511155 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.3651117900690897000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.3141798433564262 " "
y[1] (numeric) = 2.3141798433565035 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.3390456984465950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.332166017712591 " "
y[1] (numeric) = 2.3321660177126677 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.2942523268310830000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.3502119749687904 " "
y[1] (numeric) = 2.3502119749688672 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.2689576141352555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.368316910536005 " "
y[1] (numeric) = 2.3683169105360817 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.2439676025736360000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.386480013927431 " "
y[1] (numeric) = 2.386480013927508 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.237886848536608000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.404700468839533 " "
y[1] (numeric) = 2.4047004688396103 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.2133533267534475000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.4229774532336696 " "
y[1] (numeric) = 2.422977453233747 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.189114385310745000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.441310139418299 " "
y[1] (numeric) = 2.4413101394183765 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.1651661649315355000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.4596976941317465 " "
y[1] (numeric) = 2.459697694131824 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.1415048564001324000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.4781392786255303 " "
y[1] (numeric) = 2.4781392786256076 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.11812670015741030000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.496634048748236 " "
y[1] (numeric) = 2.496634048748313 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.0950279858857704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.5151811550299303 " "
y[1] (numeric) = 2.515181155030007 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 3.054548701210613000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.5337797427671065 " "
y[1] (numeric) = 2.5337797427671838 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.049654285637461400000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.5524289521081576 " "
y[1] (numeric) = 2.552428952108235 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 3.0273721213704740000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.571127918139357 " "
y[1] (numeric) = 2.571127918139434 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.988082886193324000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.58987577097135 " "
y[1] (numeric) = 2.5898757709714273 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.983599575702030600000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.608671635826144 " "
y[1] (numeric) = 2.608671635826221 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.9621022996035173000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.6275146331245827 " "
y[1] (numeric) = 2.62751463312466 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.940859835365457000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.646403878574306 " "
y[1] (numeric) = 2.6464038785743833 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.91986885068878000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.6653384832581763 " "
y[1] (numeric) = 2.6653384832582536 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.8991260584453893000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.6843175537231705 " "
y[1] (numeric) = 2.684317553723248 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.895172056523967000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.7033401920697253 " "
y[1] (numeric) = 2.7033401920698026 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.8583721257349576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.7224054960415245 " "
y[1] (numeric) = 2.7224054960416018 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.8383546325580983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.7415125591157246 " "
y[1] (numeric) = 2.7415125591158023 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.83477131867775000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.760660470593609 " "
y[1] (numeric) = 2.7606604705936864 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.7990230358641550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.779848315691652 " "
y[1] (numeric) = 2.779848315691729 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.7797028376595084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.799075175633 " "
y[1] (numeric) = 2.799075175633077 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.760609046394627000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.818340127739348 " "
y[1] (numeric) = 2.8183401277394258 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.7574958380235790000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.8376422455232078 " "
y[1] (numeric) = 2.837642245523285 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.723088953014352600000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.8569805987805506 " "
y[1] (numeric) = 2.8569805987806283 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.7202008917012750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.8763542536838336 " "
y[1] (numeric) = 2.8763542536839113 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.701879006183895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.895762272875378 " "
y[1] (numeric) = 2.8957622728754555 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.683770434186658000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.915203715561104 " "
y[1] (numeric) = 2.915203715561182 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6658724160140773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.9346776376046115 " "
y[1] (numeric) = 2.9346776376046892 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6481822305769576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.9541830916215908 " "
y[1] (numeric) = 2.9541830916216685 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6306971949088576000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.973719127074561 " "
y[1] (numeric) = 2.973719127074639 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.6134146636846234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 2.993284790367924 " "
y[1] (numeric) = 2.9932847903680018 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.596332028741189000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.0128791249433218 " "
y[1] (numeric) = 3.0128791249433995 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.5794467186008646000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.0325011713752916 " "
y[1] (numeric) = 3.0325011713753693 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.562756197997298000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.0521499674672095 " "
y[1] (numeric) = 3.0521499674672867 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.5317079218762556000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.071824548347506 " "
y[1] (numeric) = 3.0718245483475832 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.5154927079243267000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.0915239465661557 " "
y[1] (numeric) = 3.091523946566233 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4994638194453772000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.1112471921914193 " "
y[1] (numeric) = 3.1112471921914966 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4836188750236973000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.130993312906837 " "
y[1] (numeric) = 3.1309933129069143 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4679555269369594000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.1507613341084593 " "
y[1] (numeric) = 3.1507613341085365 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4524714607041376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.1705502790023052 " "
y[1] (numeric) = 3.170550279002383 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.451171086560285000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.1903591687020443 " "
y[1] (numeric) = 3.1903591687021216 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.4220320793958694000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.2101870223268785 " "
y[1] (numeric) = 3.210187022326956 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.4209060463844698000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.230032857099637 " "
y[1] (numeric) = 3.2300328570997148 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.4060316152184472000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.249895688445047 " "
y[1] (numeric) = 3.2498956884451244 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.377661621222138800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.269774530088192 " "
y[1] (numeric) = 3.2697745300882697 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3767880937547345000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.289668394153141 " "
y[1] (numeric) = 3.2896683941532188 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3624147607670126000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.3095762912617324 " "
y[1] (numeric) = 3.30957629126181 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3482042679890272000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.3294972306325112 " "
y[1] (numeric) = 3.329497230632589 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.334154568706374000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.349430220179808 " "
y[1] (numeric) = 3.349430220179886 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3202636453070800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.369374266612946 " "
y[1] (numeric) = 3.3693742666130237 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.3065295088718166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.389328375535568 " "
y[1] (numeric) = 3.3893283755356456 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2929501987685288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.409291551545077 " "
y[1] (numeric) = 3.4092915515451545 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2795237822514935000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.4292627983321746 " "
y[1] (numeric) = 3.4292627983322523 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2662483540648454000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.449241118780492 " "
y[1] (numeric) = 3.449241118780569 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.2402470529874377000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.4692255150662983 " "
y[1] (numeric) = 3.469225515066376 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2401429767610764000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.4892149887582864 " "
y[1] (numeric) = 3.489214988758364 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.227309351076064000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.5092085409174114 " "
y[1] (numeric) = 3.509208540917489 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2146193598241895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.529205172196785 " "
y[1] (numeric) = 3.5292051721968627 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.2020712294090342000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.54920388294161 " "
y[1] (numeric) = 3.5492038829416876 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.1896632114396763000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.5692036732891443 " "
y[1] (numeric) = 3.5692036732892216 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1649513333236745000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.589203543268686 " "
y[1] (numeric) = 3.5892035432687632 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1528877251564216000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.60920249290157 " "
y[1] (numeric) = 3.6092024929016477 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.153262718747668000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.629199522301166 " "
y[1] (numeric) = 3.629199522301244 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.1413981580842884000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.6491936317728655 " "
y[1] (numeric) = 3.6491936317729428 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1174958171888114000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.6691838219140482 " "
y[1] (numeric) = 3.6691838219141255 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.1059594248838104000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.6891690937140256 " "
y[1] (numeric) = 3.6891690937141033 " "
absolute error = 7.77156117237609600000000000000E-14 " "
relative error = 2.106588495934777800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.7091484486539397 " "
y[1] (numeric) = 3.709148448654017 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.0832685341012153000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.7291208888066114 " "
y[1] (numeric) = 3.7291208888066887 " "
absolute error = 7.7271522513910900000000000000E-14 " "
relative error = 2.07211095638788000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.749085416936337 " "
y[1] (numeric) = 3.749085416936414 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.0492313393820294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.7690410365986065 " "
y[1] (numeric) = 3.769041036598683 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 2.026598897504798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.788986752239749 " "
y[1] (numeric) = 3.788986752239826 " "
absolute error = 7.68274333040608300000000000000E-14 " "
relative error = 2.0276511460127578000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.8089215692964906 " "
y[1] (numeric) = 3.808921569296567 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 2.0053798090759534000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.828844494295403 " "
y[1] (numeric) = 3.8288444942954794 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.9949450600047705000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.8487545349522563 " "
y[1] (numeric) = 3.848754534952332 " "
absolute error = 7.59392548843607100000000000000E-14 " "
relative error = 1.973086467186267000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.868650700271242 " "
y[1] (numeric) = 3.8686507002713184 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.9744182148275968000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.8885320006440764 " "
y[1] (numeric) = 3.888532000644153 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.9643234022906084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.9083974479489556 " "
y[1] (numeric) = 3.908397447949032 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.9543392173253807000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.928246055649371 " "
y[1] (numeric) = 3.928246055649447 " "
absolute error = 7.59392548843607100000000000000E-14 " "
relative error = 1.93315932374321000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.948076838892759 " "
y[1] (numeric) = 3.948076838892835 " "
absolute error = 7.59392548843607100000000000000E-14 " "
relative error = 1.923449263607998000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.9678888146089886 " "
y[1] (numeric) = 3.967888814609064 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.902653254711983200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 3.9876810016086632 " "
y[1] (numeric) = 3.987681001608739 " "
absolute error = 7.59392548843607100000000000000E-14 " "
relative error = 1.9043462818045423000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.007452420681244 " "
y[1] (numeric) = 4.00745242068132 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.883869295238616800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.027202094692967 " "
y[1] (numeric) = 4.027202094693043 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.8746306716019517000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.046929048684555 " "
y[1] (numeric) = 4.04692904868463 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.865492692515827000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.066632309968714 " "
y[1] (numeric) = 4.0666323099687895 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.856454184201656000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.086310908227403 " "
y[1] (numeric) = 4.086310908227478 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.8475139892686146000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.105963875608861 " "
y[1] (numeric) = 4.105963875608936 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.8170395433337141000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.125590246824394 " "
y[1] (numeric) = 4.125590246824468 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.8083954729202215000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.145189059244900 " "
y[1] (numeric) = 4.145189059244976 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.8212719515443054000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.164759352997142 " "
y[1] (numeric) = 4.1647593529972164 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.791387711300056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.184300171059714 " "
y[1] (numeric) = 4.184300171059789 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7830218723508925000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.203810559358764 " "
y[1] (numeric) = 4.203810559358838 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.774746654287648000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.223289566863385 " "
y[1] (numeric) = 4.22328956686346 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7665610201154344000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.242736245680727 " "
y[1] (numeric) = 4.242736245680802 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7584639471935917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.26214965115078 " "
y[1] (numeric) = 4.262149651150855 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7504544270205677000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.281528841940842 " "
y[1] (numeric) = 4.281528841940917 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7425314650219836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.30087288013965 " "
y[1] (numeric) = 4.300872880139725 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7346940803418498000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.32018083135117 " "
y[1] (numeric) = 4.320180831351244 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7269413056368896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.339451764788038 " "
y[1] (numeric) = 4.339451764788112 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.7192721868739272000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.358684753364635 " "
y[1] (numeric) = 4.35868475336471 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.7320629948342342000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.377878873789799 " "
y[1] (numeric) = 4.377878873789874 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.7244690374258060000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.397033206659149 " "
y[1] (numeric) = 4.397033206659224 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.716956914498074000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.416146836547027 " "
y[1] (numeric) = 4.416146836547101 " "
absolute error = 7.46069872548105200000000000000E-14 " "
relative error = 1.6894136453385122000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.435218852098036 " "
y[1] (numeric) = 4.435218852098112 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.7222001132611167000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.4542483461181845 " "
y[1] (numeric) = 4.45424834611826 " "
absolute error = 7.54951656745106400000000000000E-14 " "
relative error = 1.6949024797933332000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.473234415665592 " "
y[1] (numeric) = 4.473234415665669 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.7075640799576866000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.492176162140796 " "
y[1] (numeric) = 4.492176162140872 " "
absolute error = 7.63833440942107700000000000000E-14 " "
relative error = 1.7003639513952065000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.5110726913765955 " "
y[1] (numeric) = 4.511072691376674 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 1.7326189640663908000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.529923113727485 " "
y[1] (numeric) = 4.5299231137275635 " "
absolute error = 7.81597009336110200000000000000E-14 " "
relative error = 1.725408996385738900000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.548726544158603 " "
y[1] (numeric) = 4.548726544158682 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.73780240658395000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.5674821023342425 " "
y[1] (numeric) = 4.5674821023343215 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.7306664280723333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.586188912705882 " "
y[1] (numeric) = 4.586188912705961 " "
absolute error = 7.90478793533111500000000000000E-14 " "
relative error = 1.7236071356396082000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.604846104599740 " "
y[1] (numeric) = 4.604846104599820 " "
absolute error = 7.99360577730112700000000000000E-14 " "
relative error = 1.7359116017615409000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.623452812303842 " "
y[1] (numeric) = 4.623452812303923 " "
absolute error = 8.0824236192711400000000000000E-14 " "
relative error = 1.7481358515787923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.64200817515459 " "
y[1] (numeric) = 4.642008175154671 " "
absolute error = 8.0824236192711400000000000000E-14 " "
relative error = 1.7411480795166792000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.660511337622827 " "
y[1] (numeric) = 4.660511337622909 " "
absolute error = 8.17124146124115200000000000000E-14 " "
relative error = 1.7532929048530183000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.678961449399393 " "
y[1] (numeric) = 4.678961449399476 " "
absolute error = 8.26005930321116500000000000000E-14 " "
relative error = 1.7653616924481078000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.697357665480153 " "
y[1] (numeric) = 4.697357665480236 " "
absolute error = 8.26005930321116500000000000000E-14 " "
relative error = 1.758448023643701000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.715699146250495 " "
y[1] (numeric) = 4.715699146250578 " "
absolute error = 8.26005930321116500000000000000E-14 " "
relative error = 1.7516086262158667000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.733985057569292 " "
y[1] (numeric) = 4.733985057569376 " "
absolute error = 8.34887714518117700000000000000E-14 " "
relative error = 1.7636044566367903000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.752214570852319 " "
y[1] (numeric) = 4.752214570852402 " "
absolute error = 8.34887714518117700000000000000E-14 " "
relative error = 1.7568392631908852000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.770386863155104 " "
y[1] (numeric) = 4.770386863155188 " "
absolute error = 8.34887714518117700000000000000E-14 " "
relative error = 1.7501467668513748000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.788501117255228 " "
y[1] (numeric) = 4.788501117255311 " "
absolute error = 8.34887714518117700000000000000E-14 " "
relative error = 1.7435261976020502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.806556521734042 " "
y[1] (numeric) = 4.806556521734126 " "
absolute error = 8.34887714518117700000000000000E-14 " "
relative error = 1.7369767956393836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.8245522710578115 " "
y[1] (numeric) = 4.824552271057896 " "
absolute error = 8.4376949871511900000000000000E-14 " "
relative error = 1.7489073624030144000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.842487565658267 " "
y[1] (numeric) = 4.842487565658352 " "
absolute error = 8.52651282912120200000000000000E-14 " "
relative error = 1.7607712386479085000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.860361612012563 " "
y[1] (numeric) = 4.860361612012647 " "
absolute error = 8.4376949871511900000000000000E-14 " "
relative error = 1.7360220618764488000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.878173622722621 " "
y[1] (numeric) = 4.878173622722707 " "
absolute error = 8.52651282912120200000000000000E-14 " "
relative error = 1.7478903968084591000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.895922816593885 " "
y[1] (numeric) = 4.895922816593970 " "
absolute error = 8.61533067109121500000000000000E-14 " "
relative error = 1.75969495309261000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.913608418713423 " "
y[1] (numeric) = 4.913608418713510 " "
absolute error = 8.61533067109121500000000000000E-14 " "
relative error = 1.7533612646624064000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.931229660527428 " "
y[1] (numeric) = 4.9312296605275145 " "
absolute error = 8.61533067109121500000000000000E-14 " "
relative error = 1.7470958085877808000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.948785779918070 " "
y[1] (numeric) = 4.948785779918157 " "
absolute error = 8.61533067109121500000000000000E-14 " "
relative error = 1.7408978796479335000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.9662760212797075 " "
y[1] (numeric) = 4.966276021279794 " "
absolute error = 8.61533067109121500000000000000E-14 " "
relative error = 1.7347667818252320000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 4.983699635594444 " "
y[1] (numeric) = 4.98369963559453 " "
absolute error = 8.61533067109121500000000000000E-14 " "
relative error = 1.72870182816778000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.001055880507035 " "
y[1] (numeric) = 5.001055880507122 " "
absolute error = 8.70414851306122700000000000000E-14 " "
relative error = 1.740462158598946000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.018344020399121 " "
y[1] (numeric) = 5.0183440203992085 " "
absolute error = 8.70414851306122700000000000000E-14 " "
relative error = 1.7344662856272186000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.0355633264627855 " "
y[1] (numeric) = 5.0355633264628725 " "
absolute error = 8.70414851306122700000000000000E-14 " "
relative error = 1.728535210215582000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.052713076773436 " "
y[1] (numeric) = 5.052713076773525 " "
absolute error = 8.88178419700125200000000000000E-14 " "
relative error = 1.7578247689997442000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.069792556362003 " "
y[1] (numeric) = 5.069792556362092 " "
absolute error = 8.88178419700125200000000000000E-14 " "
relative error = 1.7519028832561680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.086801057286426 " "
y[1] (numeric) = 5.0868010572865145 " "
absolute error = 8.88178419700125200000000000000E-14 " "
relative error = 1.7460451267852956000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.103737878702452 " "
y[1] (numeric) = 5.103737878702540 " "
absolute error = 8.88178419700125200000000000000E-14 " "
relative error = 1.7402508530197697000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.120602326933720 " "
y[1] (numeric) = 5.12060232693381 " "
absolute error = 8.88178419700125200000000000000E-14 " "
relative error = 1.7345194236787712000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.13739371554113 " "
y[1] (numeric) = 5.137393715541219 " "
absolute error = 8.88178419700125200000000000000E-14 " "
relative error = 1.7288502086443105000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.1541113653914765 " "
y[1] (numeric) = 5.154111365391566 " "
absolute error = 8.97060203897126500000000000000E-14 " "
relative error = 1.7404750116977555000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.170754604725375 " "
y[1] (numeric) = 5.170754604725465 " "
absolute error = 8.97060203897126500000000000000E-14 " "
relative error = 1.7348729005188795000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.187322769224428 " "
y[1] (numeric) = 5.187322769224518 " "
absolute error = 8.97060203897126500000000000000E-14 " "
relative error = 1.7293317647770906000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.203815202077658 " "
y[1] (numeric) = 5.203815202077749 " "
absolute error = 9.05941988094127700000000000000E-14 " "
relative error = 1.7409188314996743000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.220231254047192 " "
y[1] (numeric) = 5.220231254047283 " "
absolute error = 9.05941988094127700000000000000E-14 " "
relative error = 1.7354441671367720000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.236570283533178 " "
y[1] (numeric) = 5.236570283533270 " "
absolute error = 9.1482377229112900000000000000E-14 " "
relative error = 1.7469903443631168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.25283165663795 " "
y[1] (numeric) = 5.252831656638042 " "
absolute error = 9.23705556488130200000000000000E-14 " "
relative error = 1.7584906901039800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.269014747229416 " "
y[1] (numeric) = 5.269014747229509 " "
absolute error = 9.23705556488130200000000000000E-14 " "
relative error = 1.7530897156320133000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.28511893700367 " "
y[1] (numeric) = 5.285118937003762 " "
absolute error = 9.23705556488130200000000000000E-14 " "
relative error = 1.7477479078490013000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.3011436155468195 " "
y[1] (numeric) = 5.301143615546913 " "
absolute error = 9.32587340685131500000000000000E-14 " "
relative error = 1.7592191578249367000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.317088180396032 " "
y[1] (numeric) = 5.317088180396126 " "
absolute error = 9.32587340685131500000000000000E-14 " "
relative error = 1.7539437170208255000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.332952037099776 " "
y[1] (numeric) = 5.33295203709987 " "
absolute error = 9.41469124882132700000000000000E-14 " "
relative error = 1.7653808216023872000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.348734599277268 " "
y[1] (numeric) = 5.348734599277363 " "
absolute error = 9.5035090907913400000000000000E-14 " "
relative error = 1.7767770889352918000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.364435288677110 " "
y[1] (numeric) = 5.364435288677204 " "
absolute error = 9.5035090907913400000000000000E-14 " "
relative error = 1.7715767978133154000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.38005353523511 " "
y[1] (numeric) = 5.380053535235205 " "
absolute error = 9.5035090907913400000000000000E-14 " "
relative error = 1.766433926456465000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.3955887771312945 " "
y[1] (numeric) = 5.39558877713139 " "
absolute error = 9.59232693276135300000000000000E-14 " "
relative error = 1.7778091194454154000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.411040460846090 " "
y[1] (numeric) = 5.411040460846185 " "
absolute error = 9.59232693276135300000000000000E-14 " "
relative error = 1.7727324351334572000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.426408041215663 " "
y[1] (numeric) = 5.42640804121576 " "
absolute error = 9.68114477473136500000000000000E-14 " "
relative error = 1.784079763482461000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.441690981486454 " "
y[1] (numeric) = 5.441690981486551 " "
absolute error = 9.68114477473136500000000000000E-14 " "
relative error = 1.7790691914826187000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.456888753368835 " "
y[1] (numeric) = 5.456888753368934 " "
absolute error = 9.8587804586713900000000000000E-14 " "
relative error = 1.8066669313324424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.472000837089952 " "
y[1] (numeric) = 5.47200083709005 " "
absolute error = 9.76996261670137800000000000000E-14 " "
relative error = 1.7854461114989723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.487026721445691 " "
y[1] (numeric) = 5.4870267214457895 " "
absolute error = 9.8587804586713900000000000000E-14 " "
relative error = 1.7967436572049084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.501965903851806 " "
y[1] (numeric) = 5.501965903851905 " "
absolute error = 9.8587804586713900000000000000E-14 " "
relative error = 1.7918650589545593000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.5168178903941705 " "
y[1] (numeric) = 5.51681789039427 " "
absolute error = 9.94759830064140300000000000000E-14 " "
relative error = 1.8031405963140573000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.531582195878176 " "
y[1] (numeric) = 5.531582195878275 " "
absolute error = 9.8587804586713900000000000000E-14 " "
relative error = 1.7822713483345867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.546258343877243 " "
y[1] (numeric) = 5.546258343877342 " "
absolute error = 9.8587804586713900000000000000E-14 " "
relative error = 1.777555217844284000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.5608458667804666 " "
y[1] (numeric) = 5.560845866780567 " "
absolute error = 1.00364161426114150000000000000E-13 " "
relative error = 1.804836239495008000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.5753443058393835 " "
y[1] (numeric) = 5.575344305839483 " "
absolute error = 9.94759830064140300000000000000E-14 " "
relative error = 1.7842123741528754000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.589753211213832 " "
y[1] (numeric) = 5.5897532112139325 " "
absolute error = 1.00364161426114150000000000000E-13 " "
relative error = 1.7955025496433280000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.604072142016953 " "
y[1] (numeric) = 5.604072142017053 " "
absolute error = 9.94759830064140300000000000000E-14 " "
relative error = 1.7750660677721358000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.6183006663592625 " "
y[1] (numeric) = 5.618300666359363 " "
absolute error = 1.00364161426114150000000000000E-13 " "
relative error = 1.7863793233257402000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.63243836139185 " "
y[1] (numeric) = 5.6324383613919515 " "
absolute error = 1.01252339845814280000000000000E-13 " "
relative error = 1.797664410140007000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.646484813348662 " "
y[1] (numeric) = 5.6464848133487635 " "
absolute error = 1.01252339845814280000000000000E-13 " "
relative error = 1.7931924585442446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.660439617587874 " "
y[1] (numeric) = 5.660439617587976 " "
absolute error = 1.01252339845814280000000000000E-13 " "
relative error = 1.7887716623847974000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.674302378632357 " "
y[1] (numeric) = 5.67430237863246 " "
absolute error = 1.0214051826551440000000000000E-13 " "
relative error = 1.8000541996165653000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.688072710209227 " "
y[1] (numeric) = 5.68807271020933 " "
absolute error = 1.03028696685214530000000000000E-13 " "
relative error = 1.8113111757571887000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.701750235288467 " "
y[1] (numeric) = 5.70175023528857 " "
absolute error = 1.03028696685214530000000000000E-13 " "
relative error = 1.806966149579192000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.715334586120633 " "
y[1] (numeric) = 5.715334586120737 " "
absolute error = 1.03916875104914650000000000000E-13 " "
relative error = 1.818211576926238000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.728825404273632 " "
y[1] (numeric) = 5.728825404273735 " "
absolute error = 1.03028696685214530000000000000E-13 " "
relative error = 1.798426194108768100000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.742222340668555 " "
y[1] (numeric) = 5.742222340668658 " "
absolute error = 1.03028696685214530000000000000E-13 " "
relative error = 1.7942303619197567000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.7555250556145925 " "
y[1] (numeric) = 5.755525055614696 " "
absolute error = 1.03916875104914650000000000000E-13 " "
relative error = 1.8055151198332867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.768733218843003 " "
y[1] (numeric) = 5.768733218843108 " "
absolute error = 1.04805053524614780000000000000E-13 " "
relative error = 1.8167776104167777000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.78184650954014 " "
y[1] (numeric) = 5.7818465095402445 " "
absolute error = 1.04805053524614780000000000000E-13 " "
relative error = 1.8126571390590318000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.794864616379524 " "
y[1] (numeric) = 5.79486461637963 " "
absolute error = 1.0569323194431490000000000000E-13 " "
relative error = 1.8239120141921310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.807787237552988 " "
y[1] (numeric) = 5.807787237553094 " "
absolute error = 1.0569323194431490000000000000E-13 " "
relative error = 1.8198537174520693000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.820614080800851 " "
y[1] (numeric) = 5.820614080800957 " "
absolute error = 1.0569323194431490000000000000E-13 " "
relative error = 1.8158433195724377000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.833344863441143 " "
y[1] (numeric) = 5.833344863441249 " "
absolute error = 1.0569323194431490000000000000E-13 " "
relative error = 1.8118803948437487000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.8459793123978745 " "
y[1] (numeric) = 5.845979312397981 " "
absolute error = 1.06581410364015030000000000000E-13 " "
relative error = 1.8231575013955703000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.858517164228347 " "
y[1] (numeric) = 5.858517164228454 " "
absolute error = 1.06581410364015030000000000000E-13 " "
relative error = 1.8192557498131587000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.870958165149491 " "
y[1] (numeric) = 5.870958165149599 " "
absolute error = 1.07469588783715150000000000000E-13 " "
relative error = 1.8305289487781365000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.88330207106325 " "
y[1] (numeric) = 5.8833020710633575 " "
absolute error = 1.07469588783715150000000000000E-13 " "
relative error = 1.8266882693700084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.895548647580984 " "
y[1] (numeric) = 5.8955486475810925 " "
absolute error = 1.08357767203415280000000000000E-13 " "
relative error = 1.837959004000006000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.9076976700469155 " "
y[1] (numeric) = 5.907697670047024 " "
absolute error = 1.08357767203415280000000000000E-13 " "
relative error = 1.8341792903995166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.919748923560587 " "
y[1] (numeric) = 5.919748923560696 " "
absolute error = 1.08357767203415280000000000000E-13 " "
relative error = 1.8304453212897528000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.931702202998357 " "
y[1] (numeric) = 5.9317022029984665 " "
absolute error = 1.0924594562311540000000000000E-13 " "
relative error = 1.8417301119380836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.94355731303391 " "
y[1] (numeric) = 5.943557313034020 " "
absolute error = 1.0924594562311540000000000000E-13 " "
relative error = 1.83805656897670980000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.955314068157788 " "
y[1] (numeric) = 5.9553140681578975 " "
absolute error = 1.0924594562311540000000000000E-13 " "
relative error = 1.834427947423257200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.966972292695942 " "
y[1] (numeric) = 5.9669722926960524 " "
absolute error = 1.10134124042815530000000000000E-13 " "
relative error = 1.845728765619184000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.9785318208273015 " "
y[1] (numeric) = 5.978531820827412 " "
absolute error = 1.10134124042815530000000000000E-13 " "
relative error = 1.8421600376725156000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 5.989992496600351 " "
y[1] (numeric) = 5.989992496600462 " "
absolute error = 1.11022302462515650000000000000E-13 " "
relative error = 1.8534631308057042000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.001354173948733 " "
y[1] (numeric) = 6.001354173948843 " "
absolute error = 1.10134124042815530000000000000E-13 " "
relative error = 1.8351545476335415000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.012616716705844 " "
y[1] (numeric) = 6.012616716705955 " "
absolute error = 1.11022302462515650000000000000E-13 " "
relative error = 1.846488936406741000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.023779998618464 " "
y[1] (numeric) = 6.023779998618575 " "
absolute error = 1.11022302462515650000000000000E-13 " "
relative error = 1.8430670191802873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.034843903359368 " "
y[1] (numeric) = 6.034843903359480 " "
absolute error = 1.11022302462515650000000000000E-13 " "
relative error = 1.839688055571972200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.045808324538970 " "
y[1] (numeric) = 6.045808324539082 " "
absolute error = 1.11022302462515650000000000000E-13 " "
relative error = 1.8363516754557674000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.0566731657159565 " "
y[1] (numeric) = 6.056673165716068 " "
absolute error = 1.11910480882215780000000000000E-13 " "
relative error = 1.847721972446682000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.0674383404069285 " "
y[1] (numeric) = 6.067438340407041 " "
absolute error = 1.1279865930191590000000000000E-13 " "
relative error = 1.8590820865985228000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.078103772095057 " "
y[1] (numeric) = 6.07810377209517 " "
absolute error = 1.1279865930191590000000000000E-13 " "
relative error = 1.8558198992880212000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.088669394237725 " "
y[1] (numeric) = 6.088669394237838 " "
absolute error = 1.13686837721616030000000000000E-13 " "
relative error = 1.867186906702611700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.099135150273192 " "
y[1] (numeric) = 6.099135150273305 " "
absolute error = 1.13686837721616030000000000000E-13 " "
relative error = 1.8639829241449715000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.1095009936262406 " "
y[1] (numeric) = 6.109500993626354 " "
absolute error = 1.13686837721616030000000000000E-13 " "
relative error = 1.8608203491614164000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.119766887712842 " "
y[1] (numeric) = 6.119766887712956 " "
absolute error = 1.13686837721616030000000000000E-13 " "
relative error = 1.8576988275464285000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.129932805943808 " "
y[1] (numeric) = 6.129932805943922 " "
absolute error = 1.14575016141316150000000000000E-13 " "
relative error = 1.8691072115867247000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.139998731727454 " "
y[1] (numeric) = 6.139998731727569 " "
absolute error = 1.14575016141316150000000000000E-13 " "
relative error = 1.86604299361282000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.149964658471257 " "
y[1] (numeric) = 6.149964658471372 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.877461107064602700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.159830589582514 " "
y[1] (numeric) = 6.159830589582630 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.8744540597640347000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.169596538468003 " "
y[1] (numeric) = 6.1695965384681175 " "
absolute error = 1.14575016141316150000000000000E-13 " "
relative error = 1.8570909041933353000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.179262528532638 " "
y[1] (numeric) = 6.179262528532753 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.8685594604188926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.188828593177137 " "
y[1] (numeric) = 6.188828593177252 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.865671230389358000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.198294775794672 " "
y[1] (numeric) = 6.198294775794787 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.862821933089056000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.207661129766537 " "
y[1] (numeric) = 6.207661129766652 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.86001123687882000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.216927718456807 " "
y[1] (numeric) = 6.2169277184569225 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.8572388129627002000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.2260946152060015 " "
y[1] (numeric) = 6.226094615206117 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.8545043353343899000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.2351619033237515 " "
y[1] (numeric) = 6.235161903323867 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.851807480724226000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.244129676080468 " "
y[1] (numeric) = 6.244129676080584 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.849147928546773000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.252998036698015 " "
y[1] (numeric) = 6.252998036698130 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.846525360848958000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.261767098339389 " "
y[1] (numeric) = 6.2617670983395035 " "
absolute error = 1.14575016141316150000000000000E-13 " "
relative error = 1.8297553125490926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.2704369840973975 " "
y[1] (numeric) = 6.270436984097513 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.8413899199345304000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.279007826982358 " "
y[1] (numeric) = 6.279007826982474 " "
absolute error = 1.15463194561016280000000000000E-13 " "
relative error = 1.8388764235146207000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.28747976990879 " "
y[1] (numeric) = 6.287479769908907 " "
absolute error = 1.1635137298071640000000000000E-13 " "
relative error = 1.850524808645297200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.29585296568113 " "
y[1] (numeric) = 6.295852965681246 " "
absolute error = 1.1635137298071640000000000000E-13 " "
relative error = 1.848063695498465300000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.304127576978441 " "
y[1] (numeric) = 6.3041275769785585 " "
absolute error = 1.17239551400416530000000000000E-13 " "
relative error = 1.8597268213377316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.312303776338159 " "
y[1] (numeric) = 6.312303776338276 " "
absolute error = 1.17239551400416530000000000000E-13 " "
relative error = 1.8573179548153584000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.3203817461388265 " "
y[1] (numeric) = 6.320381746138945 " "
absolute error = 1.18127729820116660000000000000E-13 " "
relative error = 1.8689967562842527000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.328361678581864 " "
y[1] (numeric) = 6.328361678581981 " "
absolute error = 1.17239551400416530000000000000E-13 " "
relative error = 1.8526051031060695000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.33624377567234 " "
y[1] (numeric) = 6.3362437756724574 " "
absolute error = 1.17239551400416530000000000000E-13 " "
relative error = 1.8503005179590998000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.344028249198782 " "
y[1] (numeric) = 6.3440282491989 " "
absolute error = 1.18127729820116660000000000000E-13 " "
relative error = 1.8620303248970493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.3517153207119925 " "
y[1] (numeric) = 6.3517153207121115 " "
absolute error = 1.19015908239816780000000000000E-13 " "
relative error = 1.8737601140864063000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.359305221502893 " "
y[1] (numeric) = 6.3593052215030115 " "
absolute error = 1.18127729820116660000000000000E-13 " "
relative error = 1.8575571655326137000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.3667981925793935 " "
y[1] (numeric) = 6.3667981925795125 " "
absolute error = 1.19015908239816780000000000000E-13 " "
relative error = 1.8693211978751226000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.374194484642299 " "
y[1] (numeric) = 6.374194484642418 " "
absolute error = 1.19015908239816780000000000000E-13 " "
relative error = 1.8671521323450113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.381494358060232 " "
y[1] (numeric) = 6.381494358060352 " "
absolute error = 1.1990408665951690000000000000E-13 " "
relative error = 1.8789343049104232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.388698082843604 " "
y[1] (numeric) = 6.388698082843723 " "
absolute error = 1.19015908239816780000000000000E-13 " "
relative error = 1.862913330642836000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.3958059386176025 " "
y[1] (numeric) = 6.3958059386177215 " "
absolute error = 1.19015908239816780000000000000E-13 " "
relative error = 1.860843017784574000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.402818214594241 " "
y[1] (numeric) = 6.402818214594360 " "
absolute error = 1.1990408665951690000000000000E-13 " "
relative error = 1.8726767282915194000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.409735209543433 " "
y[1] (numeric) = 6.409735209543554 " "
absolute error = 1.20792265079217030000000000000E-13 " "
relative error = 1.884512559884998800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.4165572317631145 " "
y[1] (numeric) = 6.416557231763235 " "
absolute error = 1.20792265079217030000000000000E-13 " "
relative error = 1.882508964172774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.423284599048414 " "
y[1] (numeric) = 6.423284599048535 " "
absolute error = 1.20792265079217030000000000000E-13 " "
relative error = 1.880537335946658000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.429917638659877 " "
y[1] (numeric) = 6.429917638659998 " "
absolute error = 1.21680443498917160000000000000E-13 " "
relative error = 1.8924106082994524000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.436456687290736 " "
y[1] (numeric) = 6.436456687290858 " "
absolute error = 1.21680443498917160000000000000E-13 " "
relative error = 1.890488034187882700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.442902091033244 " "
y[1] (numeric) = 6.442902091033366 " "
absolute error = 1.21680443498917160000000000000E-13 " "
relative error = 1.888596812114575200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.449254205344065 " "
y[1] (numeric) = 6.449254205344187 " "
absolute error = 1.21680443498917160000000000000E-13 " "
relative error = 1.8867366617071585000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.455513395008726 " "
y[1] (numeric) = 6.455513395008849 " "
absolute error = 1.22568621918617280000000000000E-13 " "
relative error = 1.8986657515633826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.461680034105147 " "
y[1] (numeric) = 6.461680034105268 " "
absolute error = 1.21680443498917160000000000000E-13 " "
relative error = 1.883108461834697200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.467754505966220 " "
y[1] (numeric) = 6.467754505966342 " "
absolute error = 1.22568621918617280000000000000E-13 " "
relative error = 1.8950722666661687000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.473737203141490 " "
y[1] (numeric) = 6.473737203141612 " "
absolute error = 1.22568621918617280000000000000E-13 " "
relative error = 1.8933209376979163000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.479628527357889 " "
y[1] (numeric) = 6.479628527358012 " "
absolute error = 1.2345680033831741000000000000E-13 " "
relative error = 1.9053067597481200000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.485428889479575 " "
y[1] (numeric) = 6.4854288894796985 " "
absolute error = 1.2345680033831741000000000000E-13 " "
relative error = 1.9036027137478065000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.491138709466835 " "
y[1] (numeric) = 6.491138709466958 " "
absolute error = 1.2345680033831741000000000000E-13 " "
relative error = 1.9019282419318045000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.496758416334094 " "
y[1] (numeric) = 6.496758416334218 " "
absolute error = 1.2345680033831741000000000000E-13 " "
relative error = 1.90028307082995980000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.5022884481070164 " "
y[1] (numeric) = 6.50228844810714 " "
absolute error = 1.2345680033831741000000000000E-13 " "
relative error = 1.898666928168326000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.507729251778699 " "
y[1] (numeric) = 6.507729251778823 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.910727597095891000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.513081283264976 " "
y[1] (numeric) = 6.5130812832651 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.90915748399325990000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.518345007358825 " "
y[1] (numeric) = 6.518345007358949 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.9076157923159856000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.5235208976838885 " "
y[1] (numeric) = 6.523520897684014 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.919717268357038000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.528609436647116 " "
y[1] (numeric) = 6.528609436647241 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.9182209993255986000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.533611115390519 " "
y[1] (numeric) = 6.533611115390643 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.9031585529342504000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.538526433742055 " "
y[1] (numeric) = 6.53852643374218 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.9153116294131990000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.543355900165653 " "
y[1] (numeric) = 6.543355900165778 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.913897991924101700000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.548100031710362 " "
y[1] (numeric) = 6.548100031710488 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9260752735396885000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.552759353958649 " "
y[1] (numeric) = 6.552759353958774 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.9111514770042926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.557334400973836 " "
y[1] (numeric) = 6.557334400973962 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.9098180681332821000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.561825715246702 " "
y[1] (numeric) = 6.561825715246828 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.922046410107618200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.56623384764123 " "
y[1] (numeric) = 6.566233847641355 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.907229624828315200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.570559357339520 " "
y[1] (numeric) = 6.570559357339644 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.9059740634993017000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.574802811785870 " "
y[1] (numeric) = 6.574802811785997 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9182527477681155000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.578964786630046 " "
y[1] (numeric) = 6.578964786630170 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.903538949352943000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.583045865669690 " "
y[1] (numeric) = 6.583045865669817 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9158507804895497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.587046640791972 " "
y[1] (numeric) = 6.5870466407920985 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9146871500253107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.590967711914378 " "
y[1] (numeric) = 6.590967711914504 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9135480723025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.59480968692473 " "
y[1] (numeric) = 6.594809686924856 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.912433285944151000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.598573181620395 " "
y[1] (numeric) = 6.598573181620521 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.911342530059604000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.602258819646707 " "
y[1] (numeric) = 6.602258819646833 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9102755442139220000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.605867232434601 " "
y[1] (numeric) = 6.605867232434727 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9092320683977113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.609399059137473 " "
y[1] (numeric) = 6.609399059137599 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8947737314269625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.612854946567260 " "
y[1] (numeric) = 6.612854946567387 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9072146087657268000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.616235549129769 " "
y[1] (numeric) = 6.616235549129895 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.906240106793152000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.619541528759225 " "
y[1] (numeric) = 6.619541528759350 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.9052880784790263000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.622773554852088 " "
y[1] (numeric) = 6.6227735548522135 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.890947291802952000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.625932304200108 " "
y[1] (numeric) = 6.625932304200234 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8900458294500488000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.62901846092265 " "
y[1] (numeric) = 6.629018460922776 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.902564253529983000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.63203271639828 " "
y[1] (numeric) = 6.632032716398405 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8883072887753968000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.634975769195629 " "
y[1] (numeric) = 6.634975769195753 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.874083389050449000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.637848325003535 " "
y[1] (numeric) = 6.6378483250036595 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.873272371856302000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.640651096560479 " "
y[1] (numeric) = 6.640651096560604 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8858566028650728000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.6433848035833085 " "
y[1] (numeric) = 6.643384803583433 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8717112200236896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.646050172695265 " "
y[1] (numeric) = 6.646050172695390 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8709605784933490000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.648647937353324 " "
y[1] (numeric) = 6.6486479373534495 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8835883379255924000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.651178837774854 " "
y[1] (numeric) = 6.651178837774979 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8828715966328505000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.653643620863587 " "
y[1] (numeric) = 6.653643620863711 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8688253510920472000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.656043040134934 " "
y[1] (numeric) = 6.656043040135058 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.868151663206444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.6583778556406354 " "
y[1] (numeric) = 6.65837785564076 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.867496580307152000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.660648833892752 " "
y[1] (numeric) = 6.660648833892877 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8668598489277405000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.662856747787019 " "
y[1] (numeric) = 6.662856747787143 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.866241215516408800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.665002376525552 " "
y[1] (numeric) = 6.665002376525677 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.865640426415545200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.667086505538934 " "
y[1] (numeric) = 6.667086505539058 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8650572278417754000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.669109926407664 " "
y[1] (numeric) = 6.669109926407790 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8778091613369893000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.671073436783011 " "
y[1] (numeric) = 6.671073436783137 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.877256462014137000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.672977840307240 " "
y[1] (numeric) = 6.6729778403073645 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.876720711123351000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.67482394653325 " "
y[1] (numeric) = 6.674823946533375 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8762016523710842000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.676612570843625 " "
y[1] (numeric) = 6.6766125708437505 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.875699029244313000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.678344534369092 " "
y[1] (numeric) = 6.678344534369217 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8752125849935433000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.680020663906408 " "
y[1] (numeric) = 6.680020663906533 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.874742062616353800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.681641791835681 " "
y[1] (numeric) = 6.681641791835807 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8742872048414874000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.683208756037138 " "
y[1] (numeric) = 6.6832087560372635 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8738477541134843000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.684722399807331 " "
y[1] (numeric) = 6.684722399807455 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8601367614248493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.6861835717748095 " "
y[1] (numeric) = 6.686183571774934 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8597302545345887000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.687593125815262 " "
y[1] (numeric) = 6.687593125815387 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8726192640861491000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.688951920966126 " "
y[1] (numeric) = 6.688951920966251 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8722388598007667000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.690260821340686 " "
y[1] (numeric) = 6.690260821340810 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.871872570023686000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.69152069604166 " "
y[1] (numeric) = 6.691520696041786 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8715201352033295000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.6927324190742965 " "
y[1] (numeric) = 6.692732419074422 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.871181295412363800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.693896869258968 " "
y[1] (numeric) = 6.693896869259093 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8575873095544543000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.695014930143293 " "
y[1] (numeric) = 6.695014930143418 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8705433592668225000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.696087489913781 " "
y[1] (numeric) = 6.696087489913906 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8702437410854406000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.697115441307017 " "
y[1] (numeric) = 6.697115441307141 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.856694570188717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.698099681520382 " "
y[1] (numeric) = 6.698099681520508 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.869681896840498000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.699041112122346 " "
y[1] (numeric) = 6.699041112122470 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.856160854618541000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.699940638962296 " "
y[1] (numeric) = 6.6999406389624205 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8559116484541927000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.700799172079966 " "
y[1] (numeric) = 6.700799172080090 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8556738616510446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.701617625614427 " "
y[1] (numeric) = 6.701617625614551 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8554472323630547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.702396917712672 " "
y[1] (numeric) = 6.702396917712797 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.855231498292893900000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.70313797043781 " "
y[1] (numeric) = 6.703137970437934 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8550263966877000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.703841709676851 " "
y[1] (numeric) = 6.703841709676976 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.854831664335514000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.704509065048125 " "
y[1] (numeric) = 6.704509065048250 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8546470375623986000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.705140969808316 " "
y[1] (numeric) = 6.705140969808442 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8677184826033233000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7057383607591445 " "
y[1] (numeric) = 6.70573836075927 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.867552094047705000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.706302178153678 " "
y[1] (numeric) = 6.706302178153803 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8673950837717215000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7068333656023125 " "
y[1] (numeric) = 6.706833365602438 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8672471843419805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.707332869978414 " "
y[1] (numeric) = 6.70733286997854 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8803500294719040000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.707801641323628 " "
y[1] (numeric) = 6.707801641323754 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.88021862215548000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.708240632752877 " "
y[1] (numeric) = 6.708240632753003 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8800955794822324000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.70865080035905 " "
y[1] (numeric) = 6.708650800359176 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8799806302433825000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.709033103117395 " "
y[1] (numeric) = 6.709033103117521 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.879873502767704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.709388502789622 " "
y[1] (numeric) = 6.709388502789748 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.879773924925933000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7097179638277265 " "
y[1] (numeric) = 6.709717963827853 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.879681624135938000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7100224532775465 " "
y[1] (numeric) = 6.710022453277672 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.866359733513959200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.710302940682056 " "
y[1] (numeric) = 6.7103029406821815 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8662817205833715000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.710560397984416 " "
y[1] (numeric) = 6.710560397984541 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8662101188349736000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.710795799430777 " "
y[1] (numeric) = 6.710795799430903 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8793797243557264000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.711010121472858 " "
y[1] (numeric) = 6.711010121472984 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8660850588947236000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7112043426703 " "
y[1] (numeric) = 6.711204342670425 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.866031054686811000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.71137944359281 " "
y[1] (numeric) = 6.711379443592936 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8792162871646717000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.71153640672211 " "
y[1] (numeric) = 6.711536406722236 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8791723378137046000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.711676216353685 " "
y[1] (numeric) = 6.711676216353811 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8791331931375094000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.711799858498354 " "
y[1] (numeric) = 6.71179985849848 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8790985764828091000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.711908320783673 " "
y[1] (numeric) = 6.711908320783799 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8790682108526183000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712002592355170 " "
y[1] (numeric) = 6.7120025923552955 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.879041818921037800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712083663777433 " "
y[1] (numeric) = 6.712083663777559 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.879019123048879000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7121525269350535 " "
y[1] (numeric) = 6.7121525269351805 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.8922322385768817000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712210174933442 " "
y[1] (numeric) = 6.712210174933569 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.8922159870891905000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712257601999510 " "
y[1] (numeric) = 6.712257601999638 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.8922026171832723000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712295803382261 " "
y[1] (numeric) = 6.712295803382388 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.892191848176879000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7123257752532535 " "
y[1] (numeric) = 6.7123257752533805 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.8921833991635467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712348514606992 " "
y[1] (numeric) = 6.712348514607118 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789449821170706000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712365019161226 " "
y[1] (numeric) = 6.712365019161353 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.89217233649473020000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7123762872571815 " "
y[1] (numeric) = 6.712376287257308 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789372079280972000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712383317759724 " "
y[1] (numeric) = 6.71238331775985 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789352399426307000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7123871099574774 " "
y[1] (numeric) = 6.712387109957604 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.878934178428466000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712388663462890 " "
y[1] (numeric) = 6.712388663463017 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789337435706882000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712388978112282 " "
y[1] (numeric) = 6.712388978112408 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789336554939454000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712389053865852 " "
y[1] (numeric) = 6.712389053865978 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789336342889867000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712389890707693 " "
y[1] (numeric) = 6.712389890707820 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.878933400040037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712392488545788 " "
y[1] (numeric) = 6.712392488545915 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.892164593084365000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712397847112023 " "
y[1] (numeric) = 6.7123978471121495 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789311728845287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712406965862212 " "
y[1] (numeric) = 6.712406965862338 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789286203718347000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712420843876154 " "
y[1] (numeric) = 6.71242084387628 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789247356634414000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712440479757725 " "
y[1] (numeric) = 6.712440479757851 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789192392506687000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712466871535021 " "
y[1] (numeric) = 6.712466871535147 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8789118517999645000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712501016560553 " "
y[1] (numeric) = 6.7125010165606795 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.878902294186044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.7125439114115135 " "
y[1] (numeric) = 6.71254391141164 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.878890287525836200000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712596551790119 " "
y[1] (numeric) = 6.712596551790246 " "
absolute error = 1.2700951401711790000000000000E-13 " "
relative error = 1.89210707119359000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712659932424044 " "
y[1] (numeric) = 6.71265993242417 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8788578129545355000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712735046966943 " "
y[1] (numeric) = 6.712735046967069 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8788367888049448000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712822887899091 " "
y[1] (numeric) = 6.712822887899217 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8788122032054672000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.712924446428136 " "
y[1] (numeric) = 6.712924446428262 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8655529073376162000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.713040712389975 " "
y[1] (numeric) = 6.713040712390101 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.878751239578228000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.713172674149776 " "
y[1] (numeric) = 6.713172674149902 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8787143087063682000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.713321318503140 " "
y[1] (numeric) = 6.713321318503266 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8654426212633704000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.713487630577422 " "
y[1] (numeric) = 6.713487630577548 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8786261707399643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.71367259373322 " "
y[1] (numeric) = 6.713672593733346 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.8785744141759894000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.713877189466040 " "
y[1] (numeric) = 6.713877189466165 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8652881731915855000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.714102397308142 " "
y[1] (numeric) = 6.7141023973082685 " "
absolute error = 1.26121335597417780000000000000E-13 " "
relative error = 1.878454157148140800000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.714349194730602 " "
y[1] (numeric) = 6.714349194730727 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8651570471789017000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.714618557045545 " "
y[1] (numeric) = 6.714618557045670 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8650822249063195000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.714911457308634 " "
y[1] (numeric) = 6.71491145730876 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8650008711791957000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.715228866221753 " "
y[1] (numeric) = 6.715228866221878 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8649127181301664000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.71557175203594 " "
y[1] (numeric) = 6.715571752036065 " "
absolute error = 1.25233157177717660000000000000E-13 " "
relative error = 1.8648174988190858000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.715941080454568 " "
y[1] (numeric) = 6.715941080454693 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8514900185753452000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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) = 6.716337814536769 " "
y[1] (numeric) = 6.716337814536893 " "
absolute error = 1.24344978758017530000000000000E-13 " "
relative error = 1.8513806510578817000000000000E-12 "%"
Correct digits = 15
h = 1.00E-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 ) + 1 , 0 ; "
Iterations = 1001
"Total Elapsed Time "= 30 Seconds
"Elapsed Time(since restart) "= 30 Seconds
"Time to Timeout "= 9 Minutes 29 Seconds
Percent Done = 100.19999999999875 "%"
(%o224) true
(%o224) diffeq.max