(%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_g,MAX_TERMS)
(%o164) array_tmp3_g
(%i165) array(array_tmp3,MAX_TERMS)
(%o165) array_tmp3
(%i166) array(array_tmp4,MAX_TERMS)
(%o166) array_tmp4
(%i167) array(array_m1,MAX_TERMS)
(%o167) array_m1
(%i168) array(array_y_higher,2,MAX_TERMS)
(%o168) array_y_higher
(%i169) array(array_y_higher_work,2,MAX_TERMS)
(%o169) array_y_higher_work
(%i170) array(array_y_higher_work2,2,MAX_TERMS)
(%o170) array_y_higher_work2
(%i171) array(array_y_set_initial,2,MAX_TERMS)
(%o171) array_y_set_initial
(%i172) array(array_given_rad_poles,2,3)
(%o172) array_given_rad_poles
(%i173) array(array_given_ord_poles,2,3)
(%o173) array_given_ord_poles
(%i174) array(array_rad_test_poles,2,3)
(%o174) array_rad_test_poles
(%i175) array(array_ord_test_poles,2,3)
(%o175) array_ord_test_poles
(%i176) array(array_fact_2,MAX_TERMS,MAX_TERMS)
(%o176) array_fact_2
(%i177) omniout_str(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a~%",string(str))
(%o177) omniout_str(iolevel, str) := if glob_iolevel >= iolevel
then printf(true, "~a~%", string(str))
(%i178) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel
then printf(true,"~a",string(str))
(%o178) omniout_str_noeol(iolevel, str) :=
if glob_iolevel >= iolevel then printf(true, "~a", string(str))
(%i179) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel
then printf(true,"~a = ~a~%",string(label),
string(str))
(%o179) omniout_labstr(iolevel, label, str) :=
if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label),
string(str))
(%i180) 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))
(%o180) 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))
(%i181) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if
glob_iolevel >= iolevel
then (printf(true,"~a = ~d ~a~%",prelabel,value,
postlabel),newline())
(%o181) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) :=
if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value,
postlabel), newline())
(%i182) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen,
postlabel):=if glob_iolevel >= iolevel
then (sprint(prelabel,"[",elemnt,"]=",value,
postlabel),newline())
(%o182) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen,
postlabel) := if glob_iolevel >= iolevel
then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline())
(%i183) 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)
(%o183) 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)
(%i184) 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)
(%o184) 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)
(%i185) 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)
(%o185) 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
(%i186) 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)
(%o186) 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)
(%i187) 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)
(%o187) 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
(%i188) logditto(file):=(printf(file,""),printf(file,"ditto"),
printf(file," | "),0)
(%o188) logditto(file) := (printf(file, ""), printf(file, "ditto"),
printf(file, " | "), 0)
(%i189) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n),
printf(file," | "),0)
(%o189) logitem_integer(file, n) := (printf(file, ""),
printf(file, "~d", n), printf(file, " | "), 0)
(%i190) logitem_str(file,str):=(printf(file,""),printf(file,str),
printf(file," | "),0)
(%o190) logitem_str(file, str) := (printf(file, ""), printf(file, str),
printf(file, " | "), 0)
(%i191) 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)
(%o191) 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)
(%i192) log_revs(file,revs):=printf(file,revs)
(%o192) log_revs(file, revs) := printf(file, revs)
(%i193) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x),
printf(file," | "),0)
(%o193) logitem_float(file, x) := (printf(file, ""),
printf(file, "~g", x), printf(file, " | "), 0)
(%i194) 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)
(%o194) 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)
(%i195) logstart(file):=(printf(file,""),0)
(%o195) logstart(file) := (printf(file, "
"), 0)
(%i196) logend(file):=(printf(file,"
~%"),0)
(%o196) logend(file) := (printf(file, "~%"), 0)
(%i197) 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)
(%o197) 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)
(%i198) 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)
(%o198) 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
(%i199) 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)
(%o199) 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)
(%i200) 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)
(%o200) comp_rad_from_ratio(term1, term2, last_no) :=
!term1 glob_h!
(if term2 > 0.0 then ret : !------------! else ret : glob_larger_float, ret)
! term2 !
(%i201) 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)
(%o201) 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)
(%i202) 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)
(%o202) 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 !
(%i203) 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)
(%o203) 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)
(%i204) 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)
(%o204) 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)
(%i205) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save
(%o205) comp_ord_from_six_terms(term1, term2, term3, term4, term5, term6,
last_no) := glob_six_term_ord_save
(%i206) factorial_2(nnn):=nnn!
(%o206) factorial_2(nnn) := nnn!
(%i207) 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)
(%o207) 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
(%i208) 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)
(%o208) 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)
(%i209) log10(x):=log(x)/glob_log_10
log(x)
(%o209) log10(x) := -----------
glob_log_10
(%i210) expt(x,y):=(if x <= 0.0 and y < 0.0
then print("expt error x = ",x,"y = ",y),x^y)
(%o210) expt(x, y) := (if (x <= 0.0) and (y < 0.0)
y
then print("expt error x = ", x, "y = ", y), x )
(%i211) 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)
(%o211) 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)
(%i212) exact_soln_y(x):=block(-sin(x)-cos(x)+2.0)
(%o212) exact_soln_y(x) := block(- sin(x) - cos(x) + 2.0)
(%i213) 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)
(%o213) 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)
(%i214) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0
else ret:-1.0,ret)
(%o214) my_check_sign(x0, xf) := block([ret],
if xf > x0 then ret : 1.0 else ret : - 1.0, ret)
(%i215) 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)
(%o215) 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)
(%i216) 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)
(%o216) 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)
(%i217) 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))
(%o217) 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))
(%i218) 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)
(%o218) 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)
(%i219) 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)
(%o219) 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
(%i220) 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)
(%o220) 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)
(%i221) 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)
(%o221) 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)
(%i222) 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]:cos(array_x[1]),
array_tmp3_g[1]:sin(array_x[1]),
array_tmp4[1]:array_tmp2[1]-array_tmp3[1],
if not array_y_set_initial[1,2]
then (if 1 <= MAX_TERMS
then (
temporary
:array_tmp4[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_tmp3_g[1]*array_x[2])/1,
array_tmp3_g[2]:array_tmp3[1]*array_x[2]/1,
array_tmp4[2]:array_tmp2[2]-array_tmp3[2],
if not array_y_set_initial[1,3]
then (if 2 <= MAX_TERMS
then (
temporary
:array_tmp4[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_tmp3_g[2]*array_x[2])/2,
array_tmp3_g[3]:array_tmp3[2]*array_x[2]/2,
array_tmp4[3]:array_tmp2[3]-array_tmp3[3],
if not array_y_set_initial[1,4]
then (if 3 <= MAX_TERMS
then (
temporary
:array_tmp4[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_tmp3_g[3]*array_x[2])/3,
array_tmp3_g[4]:array_tmp3[3]*array_x[2]/3,
array_tmp4[4]:array_tmp2[4]-array_tmp3[4],
if not array_y_set_initial[1,5]
then (if 4 <= MAX_TERMS
then (
temporary
:array_tmp4[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_tmp3_g[4]*array_x[2])/4,
array_tmp3_g[5]:array_tmp3[4]*array_x[2]/4,
array_tmp4[5]:array_tmp2[5]-array_tmp3[5],
if not array_y_set_initial[1,6]
then (if 5 <= MAX_TERMS
then (
temporary
:array_tmp4[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_tmp3_g[kkk-1]*array_x[2])/(kkk-1),
array_tmp3_g[kkk]
:array_tmp3[kkk-1]*array_x[2]/(kkk-1),
array_tmp4[kkk]:array_tmp2[kkk]-array_tmp3[kkk],
order_d:1,
if order_d+kkk <= MAX_TERMS
then (if
not array_y_set_initial[1,order_d+kkk]
then (
temporary
:array_tmp4[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)
(%o222) 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 , array_tmp3 : cos(array_x ),
1 1 1 1 1
array_tmp3_g : sin(array_x ), array_tmp4 : array_tmp2 - array_tmp3 ,
1 1 1 1 1
if not array_y_set_initial then (if 1 <= MAX_TERMS
1, 2
then (temporary : array_tmp4 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_tmp3_g array_x
1 2
array_tmp2 : array_tmp1 , array_tmp3 : ------------------------,
2 2 2 1
array_tmp3 array_x
1 2
array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 ,
2 1 2 2 2
if not array_y_set_initial then (if 2 <= MAX_TERMS
1, 3
then (temporary : array_tmp4 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_tmp3_g array_x
2 2
array_tmp2 : array_tmp1 , array_tmp3 : ------------------------,
3 3 3 2
array_tmp3 array_x
2 2
array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 ,
3 2 3 3 3
if not array_y_set_initial then (if 3 <= MAX_TERMS
1, 4
then (temporary : array_tmp4 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_tmp3_g array_x
3 2
array_tmp2 : array_tmp1 , array_tmp3 : ------------------------,
4 4 4 3
array_tmp3 array_x
3 2
array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 ,
4 3 4 4 4
if not array_y_set_initial then (if 4 <= MAX_TERMS
1, 5
then (temporary : array_tmp4 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_tmp3_g array_x
4 2
array_tmp2 : array_tmp1 , array_tmp3 : ------------------------,
5 5 5 4
array_tmp3 array_x
4 2
array_tmp3_g : --------------------, array_tmp4 : array_tmp2 - array_tmp3 ,
5 4 5 5 5
if not array_y_set_initial then (if 5 <= MAX_TERMS
1, 6
then (temporary : array_tmp4 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_g array_x
kkk - 1 2
array_tmp3 : ------------------------------,
kkk kkk - 1
array_tmp3 array_x
kkk - 1 2
array_tmp3_g : --------------------------,
kkk kkk - 1
array_tmp4 : array_tmp2 - array_tmp3 , order_d : 1,
kkk kkk kkk
if order_d + kkk <= MAX_TERMS then (if not array_y_set_initial
1, order_d + kkk
then (temporary : array_tmp4 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)
(%i223) exact_soln_y(x):=block(-sin(x)-cos(x)+2.0)
(%o223) exact_soln_y(x) := block(- sin(x) - cos(x) + 2.0)
(%i224) 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_g[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_tmp4[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_g),zero_ats_ar(array_tmp3),
zero_ats_ar(array_tmp4),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_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/subpostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "),
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:0.0,"),
omniout_str(ALWAYS,"x_end:10.0,"),
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:100,"),
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) - sin(x)) "),
omniout_str(ALWAYS,"));"),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:0.0,x_end:10.0,
array_y_init[1+0]:exact_soln_y(x_start),
glob_look_poles:true,glob_max_iter:100,
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 ) - cos ( x ) ; "),
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,
"2014-01-09T00:54:24-06:00"),
logitem_str(html_log_file,"Maxima"),
logitem_str(html_log_file,
"sub"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "),
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,
"sub diffeq.max"),
logitem_str(html_log_file,
"sub 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)))
(%o224) 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_g : 0.0, term : 1 + term),
term
term : 1, while term <= MAX_TERMS do (array_tmp3 : 0.0, term : 1 + term),
term
term : 1, while term <= MAX_TERMS do (array_tmp4 : 0.0, term : 1 + term),
term
term : 1, while term <= MAX_TERMS do (array_m1 : 0.0, term : 1 + term),
term
ord : 1, while ord <= 2 do (term : 1,
while term <= MAX_TERMS do (array_y_higher : 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_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_g), zero_ats_ar(array_tmp3),
zero_ats_ar(array_tmp4), zero_ats_ar(array_m1), zero_ats_ar(array_const_1),
array_const_1 : 1, zero_ats_ar(array_const_0D0), array_const_0D0 : 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/subpostode.ode#################"),
omniout_str(ALWAYS,
"diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "),
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:0.0,"), omniout_str(ALWAYS, "x_end:10.0,"),
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:100,"),
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) - sin(x)) "), omniout_str(ALWAYS, "));"),
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 : 0.0, x_end : 10.0,
array_y_init : exact_soln_y(x_start), glob_look_poles : true,
1 + 0
glob_max_iter : 100, 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 ) - cos ( x ) ; "),
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,
"2014-01-09T00:54:24-06:00"), logitem_str(html_log_file, "Maxima"),
logitem_str(html_log_file, "sub"),
logitem_str(html_log_file,
"diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "),
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, "sub diffeq.max"),
logitem_str(html_log_file,
"sub 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)))
(%i225) main():=(alias(convfloat,convfloat),compile(all),main_prog())
(%o225) main() := (alias(convfloat, convfloat), compile(all), main_prog())
(%i226) 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_tmp3 in translation.
warning: encountered undefined variable array_tmp3_g in translation.
warning: encountered undefined variable array_tmp4 in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable temporary in translation.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_set_initial in translation.
warning: encountered undefined variable kkk in translation.
warning: encountered undefined variable order_d in translation.
warning: encountered undefined variable adj3 in translation.
warning: encountered undefined variable adj2 in translation.
modedeclare: false
is not a built-in type; assuming it is a Maxima extension type.
warning: encountered undefined variable MAX_TERMS in translation.
warning: encountered undefined variable array_y_init in translation.
warning: encountered undefined variable array_norms in translation.
warning: encountered undefined variable array_type_pole in translation.
warning: encountered undefined variable array_type_real_pole in translation.
warning: encountered undefined variable array_type_complex_pole in translation.
warning: encountered undefined variable array_tmp0 in translation.
warning: encountered undefined variable array_m1 in translation.
warning: encountered undefined variable ord in translation.
warning: encountered undefined variable array_y_higher_work in translation.
warning: encountered undefined variable array_y_higher_work2 in translation.
warning: encountered undefined variable array_const_1 in translation.
warning: encountered undefined variable iiif in translation.
warning: encountered undefined variable jjjf in translation.
warning: encountered undefined variable INFO in translation.
warning: variable glob_orig_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable ALWAYS in translation.
warning: encountered undefined variable x_start in translation.
warning: encountered undefined variable glob_h in translation.
warning: encountered undefined variable glob_max_minutes in translation.
warning: encountered undefined variable glob_max_hours in translation.
warning: encountered undefined variable x_end in translation.
warning: variable glob_check_sign (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_min_h in translation.
warning: encountered undefined variable glob_check_sign in translation.
warning: encountered undefined variable glob_max_h in translation.
warning: encountered undefined variable glob_display_interval in translation.
warning: encountered undefined variable glob_larger_float in translation.
warning: encountered undefined variable est_answer in translation.
warning: encountered undefined variable est_needed_step_err in translation.
warning: encountered undefined variable opt_iter in translation.
warning: encountered undefined variable found_h in translation.
warning: variable glob_next_display (declared type convfloat) assigned type any.
warning: encountered undefined variable order_diff in translation.
warning: encountered undefined variable r_order in translation.
warning: encountered undefined variable rows in translation.
warning: encountered undefined variable it in translation.
warning: encountered undefined variable estimated_step_error in translation.
warning: encountered undefined variable best_h in translation.
warning: encountered undefined variable glob_html_log in translation.
warning: variable glob_clock_start_sec (declared type convfloat) assigned type any.
warning: variable glob_clock_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable DEBUGL in translation.
warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any.
warning: encountered undefined variable glob_current_iter in translation.
warning: encountered undefined variable glob_max_iter in translation.
warning: encountered undefined variable glob_clock_sec in translation.
warning: encountered undefined variable glob_orig_start_sec in translation.
warning: encountered undefined variable glob_max_sec in translation.
warning: encountered undefined variable glob_iter in translation.
warning: encountered undefined variable current_iter in translation.
warning: encountered undefined variable glob_look_poles in translation.
warning: encountered undefined variable glob_next_display in translation.
warning: encountered undefined variable calc_term in translation.
warning: encountered undefined variable temp_sum in translation.
warning: encountered undefined variable html_log_file in translation.
warning: encountered undefined variable glob_least_given_sing in translation.
warning: encountered undefined variable glob_large_float in translation.
warning: encountered undefined variable glob_least_ratio_sing in translation.
warning: encountered undefined variable glob_least_3_sing in translation.
warning: encountered undefined variable glob_least_6_sing in translation.
warning: encountered undefined variable glob_total_exp_sec in translation.
warning: encountered undefined variable glob_percent_done in translation.
WARNING: in $ADJUST_FOR_POLE : $GLOB_CURR_ITER_WHEN_OPT is neither declared
nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $ADJUST_FOR_POLE : $GLOB_OPTIMAL_START is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor
bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound,
it will be treated as if it were declared SPECIAL.
Warning: modedcclare has a function or macro call which has not been translated properly.
The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################"
"##############temp/subpostode.ode#################"
"diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "
"!"
"/* BEGIN FIRST INPUT BLOCK */"
"Digits:32,"
"max_terms:30,"
"!"
"/* END FIRST INPUT BLOCK */"
"/* BEGIN SECOND INPUT BLOCK */"
"x_start:0.0,"
"x_end:10.0,"
"array_y_init[0 + 1] : exact_soln_y(x_start),"
"glob_look_poles:true,"
"glob_max_iter:100,"
"/* 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) - sin(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 = 2.479596309143242700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 ""
estimated_step_error = 2.479596309143242700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 ""
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 = 1.66402894566730630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
estimated_step_error = 1.66402894566730630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 ""
best_h = 4.000000E-6 ""
opt_iter = 3
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.116710963428164500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
estimated_step_error = 1.116710963428164500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 ""
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 = 7.4941209723208370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 ""
estimated_step_error = 7.4941209723208370000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 5.029220196379386000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 ""
estimated_step_error = 5.029220196379386000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 3.37505354186319000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 ""
estimated_step_error = 3.37505354186319000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 ""
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 = 2.26496143353162760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 ""
estimated_step_error = 2.26496143353162760000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 ""
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 = 1.519991689542375700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
estimated_step_error = 1.519991689542375700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 ""
best_h = 2.560000E-4 ""
opt_iter = 9
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.0200515736182791000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 ""
estimated_step_error = 1.0200515736182791000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 ""
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 = 6.84548268459940200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 ""
estimated_step_error = 6.84548268459940200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 4.593969220564776400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 ""
estimated_step_error = 4.593969220564776400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 3.0830190141818176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 ""
estimated_step_error = 3.0830190141818176000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 ""
best_h = 4.096000E-3 ""
opt_iter = 13
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 2.069057493681943400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 ""
estimated_step_error = 2.069057493681943400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 ""
best_h = 8.192000E-3 ""
opt_iter = 14
hn_div_ho = 0.5 ""
hn_div_ho_2 = 0.25 ""
hn_div_ho_3 = 0.125 ""
max_estimated_step_error = 1.3886262703040989000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
estimated_step_error = 1.3886262703040989000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 ""
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 = 9.32032603077579200000000000000000000000000000000000000000000000000000000000000000000000000E-74 ""
estimated_step_error = 9.32032603077579200000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 6.256660420644666000000000000000000000000000000000000000000000000000000000000000000E-66 ""
estimated_step_error = 6.256660420644666000000000000000000000000000000000000000000000000000000000000000000E-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 = 4.201315590689140300000000000000000000000000000000000000000000000000000000E-58 ""
estimated_step_error = 4.201315590689140300000000000000000000000000000000000000000000000000000000E-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 = 2.82286076696520100000000000000000000000000000000000000000000000000E-50 ""
estimated_step_error = 2.82286076696520100000000000000000000000000000000000000000000000000E-50 ""
best_h = 0.1 ""
"START of Soultion"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.0 " "
y[1] (analytic) = 1. " "
y[1] (numeric) = 1. " "
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 = 0.5000000000000001 " "
Order of pole (three term test) = 22.5 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.00E-2 " "
y[1] (analytic) = 0.9900501662491681 " "
y[1] (numeric) = 0.9900501662491681 " "
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 = 0.4999000033332888 " "
Order of pole (three term test) = 22.490000666653334 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.00E-2 " "
y[1] (analytic) = 0.9802013266400892 " "
y[1] (numeric) = 0.9802013266400892 " "
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 = 0.49960005333048885 " "
Order of pole (three term test) = 22.480005332906682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.00E-2 " "
y[1] (analytic) = 0.9704544660485168 " "
y[1] (numeric) = 0.9704544660485168 " "
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 = 0.49910026996760215 " "
Order of pole (three term test) = 22.47001799676028 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.00E-2 " "
y[1] (analytic) = 0.9608105591523879 " "
y[1] (numeric) = 0.9608105591523879 " "
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 = 0.4984008531513096 " "
Order of pole (three term test) = 22.46004265301541 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.00E-2 " "
y[1] (analytic) = 0.9512705703343554 " "
y[1] (numeric) = 0.9512705703343554 " "
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 = 0.4975020826390128 " "
Order of pole (three term test) = 22.450083291676584 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.000000000000001000E-2 " "
y[1] (analytic) = 0.9418354535853511 " "
y[1] (numeric) = 0.9418354535853511 " "
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 = 0.4964043179269331 " "
Order of pole (three term test) = 22.44014389635554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.00E-2 " "
y[1] (analytic) = 0.9325061524091875 " "
y[1] (numeric) = 0.9325061524091875 " "
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 = 0.4951079981063185 " "
Order of pole (three term test) = 22.43022844267788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.00E-2 " "
y[1] (analytic) = 0.9232835997282077 " "
y[1] (numeric) = 0.9232835997282078 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.202472376799478800000000000000E-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 = 0.49361364168781346 " "
Order of pole (three term test) = 22.420340896692874 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.00E-2 " "
y[1] (analytic) = 0.9141687177899948 " "
y[1] (numeric) = 0.9141687177899946 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.214461841692771600000000000000E-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 = 0.4919218463940608 " "
Order of pole (three term test) = 22.410485213287092 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.99999999999999900E-2 " "
y[1] (analytic) = 0.9051624180751462 " "
y[1] (numeric) = 0.9051624180751461 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.226545648002131500000000000000E-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 = 0.49003328892062076 " "
Order of pole (three term test) = 22.40066533460247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.10999999999999999 " "
y[1] (analytic) = 0.8962656012061284 " "
y[1] (numeric) = 0.8962656012061283 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.238721003161451400000000000000E-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 = 0.48794872466530276 " "
Order of pole (three term test) = 22.390885188459567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.11999999999999998 " "
y[1] (analytic) = 0.8874791568572145 " "
y[1] (numeric) = 0.8874791568572143 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.250984900374149400000000000000E-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 = 0.4856689874260147 " "
Order of pole (three term test) = 22.38114868678643 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.12999999999999998 " "
y[1] (analytic) = 0.878803963665517 " "
y[1] (numeric) = 0.878803963665517 " "
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 = 0.48319498906725666 " "
Order of pole (three term test) = 22.371459724053928 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.13999999999999999 " "
y[1] (analytic) = 0.8702408891431261 " "
y[1] (numeric) = 0.8702408891431263 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.275765180050694400000000000000E-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 = 0.4805277191553855 " "
Order of pole (three term test) = 22.361822175717943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.15 " "
y[1] (analytic) = 0.8617907895903585 " "
y[1] (numeric) = 0.8617907895903584 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.28827441420311220000000000000E-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 = 0.477668244562803 " "
Order of pole (three term test) = 22.352239896669325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.16 " "
y[1] (analytic) = 0.8534545100101272 " "
y[1] (numeric) = 0.853454510010127 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.60171576013344300000000000000E-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 = 0.4746177090412205 " "
Order of pole (three term test) = 22.342716719691943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.17 " "
y[1] (analytic) = 0.8452328840234432 " "
y[1] (numeric) = 0.8452328840234431 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.313511395037445800000000000000E-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 = 0.471377332764173 " "
Order of pole (three term test) = 22.333256453929593 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.18000000000000002 " "
y[1] (analytic) = 0.8371267337860544 " "
y[1] (numeric) = 0.8371267337860542 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.65246104279569600000000000000E-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 = 0.4679484118389673 " "
Order of pole (three term test) = 22.323862883362455 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.19000000000000003 " "
y[1] (analytic) = 0.8291368699062289 " "
y[1] (numeric) = 0.8291368699062289 " "
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 = 0.46433231778825507 " "
Order of pole (three term test) = 22.31453976529351 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.20000000000000004 " "
y[1] (analytic) = 0.8212640913636972 " "
y[1] (numeric) = 0.8212640913636969 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.70369309044462700000000000000E-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 = 0.46053049700144255 " "
Order of pole (three term test) = 22.305290828845674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.21000000000000005 " "
y[1] (analytic) = 0.813509185429752 " "
y[1] (numeric) = 0.8135091854297519 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.364733237816681500000000000000E-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 = 0.4565444701561541 " "
Order of pole (three term test) = 22.296119773470217 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.22000000000000006 " "
y[1] (analytic) = 0.8058729275885252 " "
y[1] (numeric) = 0.8058729275885249 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.13299536422210300000000000000E-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 = 0.4523758316099816 " "
Order of pole (three term test) = 22.287030267467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.23000000000000007 " "
y[1] (analytic) = 0.7983560814594368 " "
y[1] (numeric) = 0.7983560814594365 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.17190919092998100000000000000E-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 = 0.4480262487627626 " "
Order of pole (three term test) = 22.27802594651724 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.24000000000000007 " "
y[1] (analytic) = 0.7909593987208359 " "
y[1] (numeric) = 0.7909593987208355 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.210922936451518000000000000000E-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 = 0.4434974613896422 " "
Order of pole (three term test) = 22.26911041222926 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.25000000000000006 " "
y[1] (analytic) = 0.7836836190348324 " "
y[1] (numeric) = 0.783683619034832 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.666689963444600000000000000E-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 = 0.43879128094518627 " "
Order of pole (three term test) = 22.260287230697898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.26000000000000006 " "
y[1] (analytic) = 0.7765294699733315 " "
y[1] (numeric) = 0.7765294699733314 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.42972426360494100000000000000E-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 = 0.43390958983882494 " "
Order of pole (three term test) = 22.251559931078127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2700000000000001 " "
y[1] (analytic) = 0.7694976669452782 " "
y[1] (numeric) = 0.7694976669452781 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.442789331685015200000000000000E-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 = 0.4288543406819122 " "
Order of pole (three term test) = 22.242932004173447 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2800000000000001 " "
y[1] (analytic) = 0.7625889131251153 " "
y[1] (numeric) = 0.7625889131251151 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.91172086432629760000000000000E-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 = 0.423627555506708 " "
Order of pole (three term test) = 22.23440690103956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.2900000000000001 " "
y[1] (analytic) = 0.7558038993824672 " "
y[1] (numeric) = 0.7558038993824671 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.468930003579326500000000000000E-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 = 0.41823132495759335 " "
Order of pole (three term test) = 22.225988031604064 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3000000000000001 " "
y[1] (analytic) = 0.7491433042130544 " "
y[1] (numeric) = 0.7491433042130542 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.96398037166307470000000000000E-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 = 0.41266780745483905 " "
Order of pole (three term test) = 22.217678763302484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3100000000000001 " "
y[1] (analytic) = 0.7426077936708431 " "
y[1] (numeric) = 0.7426077936708428 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 2.990065641883788400000000000000E-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 = 0.4069392283312669 " "
Order of pole (three term test) = 22.209482419731344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3200000000000001 " "
y[1] (analytic) = 0.7361980213014412 " "
y[1] (numeric) = 0.7361980213014411 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.50804945476832300000000000000E-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 = 0.4010478789421462 " "
Order of pole (three term test) = 22.201402279318803 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3300000000000001 " "
y[1] (analytic) = 0.7299146280767446 " "
y[1] (numeric) = 0.7299146280767443 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.04206267944098700000000000000E-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 = 0.39499611574868254 " "
Order of pole (three term test) = 22.193441574013285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.34000000000000014 " "
y[1] (analytic) = 0.7237582423308394 " "
y[1] (numeric) = 0.7237582423308391 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.601908315612628400000000000000E-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 = 0.3887863593754641 " "
Order of pole (three term test) = 22.185603487990765 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.35000000000000014 " "
y[1] (analytic) = 0.7177294796971695 " "
y[1] (numeric) = 0.7177294796971694 " "
absolute error = 1.11022302462515650000000000000000E-16 " "
relative error = 1.546854429183529300000000000000E-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 = 0.38242109364224425 " "
Order of pole (three term test) = 22.17789115638115 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.36000000000000015 " "
y[1] (analytic) = 0.7118289430469751 " "
y[1] (numeric) = 0.7118289430469749 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.11935342182873400000000000000E-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 = 0.37590286457044736 " "
Order of pole (three term test) = 22.170307664014263 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.37000000000000016 " "
y[1] (analytic) = 0.7060572224290035 " "
y[1] (numeric) = 0.7060572224290033 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.144852823134440000000000000000E-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 = 0.3692342793647938 " "
Order of pole (three term test) = 22.162856044185926 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.38000000000000017 " "
y[1] (analytic) = 0.7004148950105071 " "
y[1] (numeric) = 0.7004148950105067 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.34037358447953500000000000000E-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 = 0.3624180053704524 " "
Order of pole (three term test) = 22.15553927744472 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.3900000000000002 " "
y[1] (analytic) = 0.6949025250195255 " "
y[1] (numeric) = 0.6949025250195251 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.39066910625464300000000000000E-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 = 0.35545676900613854 " "
Order of pole (three term test) = 22.148360290399793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4000000000000002 " "
y[1] (analytic) = 0.6895206636884642 " "
y[1] (numeric) = 0.689520663688464 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.22027484625688300000000000000E-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 = 0.34835335467358236 " "
Order of pole (three term test) = 22.14132195455024 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4100000000000002 " "
y[1] (analytic) = 0.6842698491989719 " "
y[1] (numeric) = 0.6842698491989716 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.867478930679844000000000000000E-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 = 0.3411106036438067 " "
Order of pole (three term test) = 22.13442708513655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4200000000000002 " "
y[1] (analytic) = 0.6791506066281214 " "
y[1] (numeric) = 0.6791506066281211 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.9041685914288297000000000000E-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 = 0.33373141292065384 " "
Order of pole (three term test) = 22.127678440014574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4300000000000002 " "
y[1] (analytic) = 0.674163447895904 " "
y[1] (numeric) = 0.6741634478959037 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.9404474304720100000000000000E-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 = 0.3262187340820258 " "
Order of pole (three term test) = 22.121078718552358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.4400000000000002 " "
y[1] (analytic) = 0.6693088717140367 " "
y[1] (numeric) = 0.6693088717140365 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.31752071889314800000000000000E-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 = 0.3185755720992898 " "
Order of pole (three term test) = 22.114630560550513 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.45000000000000023 " "
y[1] (analytic) = 0.6645873635360928 " "
y[1] (numeric) = 0.6645873635360924 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.68217956307778600000000000000E-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 = 0.3108049841353321 " "
Order of pole (three term test) = 22.108336545186262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.46000000000000024 " "
y[1] (analytic) = 0.6599993955089547 " "
y[1] (numeric) = 0.6599993955089545 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.36431527719510900000000000000E-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 = 0.30291007832173134 " "
Order of pole (three term test) = 22.102199189981814 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.47000000000000025 " "
y[1] (analytic) = 0.6555454264256027 " "
y[1] (numeric) = 0.6555454264256022 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.77434685604449100000000000000E-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 = 0.29489401251554925 " "
Order of pole (three term test) = 22.096220949797445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.48000000000000026 " "
y[1] (analytic) = 0.6512259016792328 " "
y[1] (numeric) = 0.6512259016792323 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.81928050934317300000000000000E-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 = 0.28675999303622834 " "
Order of pole (three term test) = 22.0904042158495 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.49000000000000027 " "
y[1] (analytic) = 0.6470412532187204 " "
y[1] (numeric) = 0.6470412532187199 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.57922906076180300000000000000E-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 = 0.27851127338310844 " "
Order of pole (three term test) = 22.08475131475402 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5000000000000002 " "
y[1] (analytic) = 0.642991899505424 " "
y[1] (numeric) = 0.6429918995054237 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.179954951901184000000000000000E-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 = 0.2701511529340699 " "
Order of pole (three term test) = 22.07926450759605 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5100000000000002 " "
y[1] (analytic) = 0.6390782454713411 " "
y[1] (numeric) = 0.6390782454713406 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.94890200060764500000000000000E-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 = 0.26168297562582465 " "
Order of pole (three term test) = 22.07394598902532 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5200000000000002 " "
y[1] (analytic) = 0.6353006824786134 " "
y[1] (numeric) = 0.6353006824786128 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.73777610543123200000000000000E-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 = 0.2531101286163889 " "
Order of pole (three term test) = 22.068797886378327 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5300000000000002 " "
y[1] (analytic) = 0.631659588280392 " "
y[1] (numeric) = 0.6316595882803915 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.78814352876039600000000000000E-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 = 0.24443604093026358 " "
Order of pole (three term test) = 22.063822258827507 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5400000000000003 " "
y[1] (analytic) = 0.6281553269830625 " "
y[1] (numeric) = 0.6281553269830622 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.30230172507201700000000000000E-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 = 0.2356641820868697 " "
Order of pole (three term test) = 22.059021096557526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5500000000000003 " "
y[1] (analytic) = 0.6247882490098349 " "
y[1] (numeric) = 0.6247882490098345 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.33087662764771500000000000000E-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 = 0.2267980607127885 " "
Order of pole (three term test) = 22.054396319969282 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5600000000000003 " "
y[1] (analytic) = 0.6215586910657005 " "
y[1] (numeric) = 0.6215586910656999 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.93095889884196600000000000000E-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 = 0.21784122313835572 " "
Order of pole (three term test) = 22.04994977891175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5700000000000003 " "
y[1] (analytic) = 0.6184669761037619 " "
y[1] (numeric) = 0.6184669761037614 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.18048379313233600000000000000E-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 = 0.20879725197917876 " "
Order of pole (three term test) = 22.045683251942062 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5800000000000003 " "
y[1] (analytic) = 0.6155134132929394 " "
y[1] (numeric) = 0.615513413292939 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.21493959772910100000000000000E-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 = 0.19966976470313655 " "
Order of pole (three term test) = 22.04159844561412 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.5900000000000003 " "
y[1] (analytic) = 0.6126982979870528 " "
y[1] (numeric) = 0.6126982979870522 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.06011187131302600000000000000E-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 = 0.1904624121834408 " "
Order of pole (three term test) = 22.037696993795997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6000000000000003 " "
y[1] (analytic) = 0.6100219116952862 " "
y[1] (numeric) = 0.6100219116952859 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.45991711120564100000000000000E-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 = 0.1811788772383364 " "
Order of pole (three term test) = 22.03398045701639 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6100000000000003 " "
y[1] (analytic) = 0.6074845220540392 " "
y[1] (numeric) = 0.6074845220540387 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.13787087834968500000000000000E-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 = 0.17182287315802328 " "
Order of pole (three term test) = 22.030450321840465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6200000000000003 " "
y[1] (analytic) = 0.6050863828001608 " "
y[1] (numeric) = 0.6050863828001605 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.5044522047614400000000000000E-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 = 0.16239814221938767 " "
Order of pole (three term test) = 22.02710800027523 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6300000000000003 " "
y[1] (analytic) = 0.6028277337455786 " "
y[1] (numeric) = 0.6028277337455781 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.20846008300708400000000000000E-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 = 0.15290845418914414 " "
Order of pole (three term test) = 22.02395482920474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6400000000000003 " "
y[1] (analytic) = 0.6007088007533152 " "
y[1] (numeric) = 0.6007088007533148 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.39275351539972900000000000000E-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 = 0.14335760481597767 " "
Order of pole (three term test) = 22.02099206985538 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6500000000000004 " "
y[1] (analytic) = 0.5987297957149045 " "
y[1] (numeric) = 0.598729795714904 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.41718907307435000000000000000E-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 = 0.1337494143122934 " "
Order of pole (three term test) = 22.0182209072914 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6600000000000004 " "
y[1] (analytic) = 0.596890916529201 " "
y[1] (numeric) = 0.5968909165292006 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.44003967144199300000000000000E-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 = 0.1240877258261861 " "
Order of pole (three term test) = 22.015642449940863 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6700000000000004 " "
y[1] (analytic) = 0.5951923470825911 " "
y[1] (numeric) = 0.5951923470825905 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.326590219674801000000000000E-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 = 0.11437640390422953 " "
Order of pole (three term test) = 22.013257729152336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6800000000000004 " "
y[1] (analytic) = 0.5936342572306034 " "
y[1] (numeric) = 0.593634257230603 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.61064162538995300000000000000E-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 = 0.10461933294570948 " "
Order of pole (three term test) = 22.011067698782348 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.6900000000000004 " "
y[1] (analytic) = 0.5922168027809255 " "
y[1] (numeric) = 0.5922168027809249 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.37345090017526400000000000000E-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 = 9.48204156489173100E-2 " "
Order of pole (three term test) = 22.009073234813822 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7000000000000004 " "
y[1] (analytic) = 0.5909401254778205 " "
y[1] (numeric) = 0.59094012547782 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.51496117294425200000000000000E-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 = 8.49835714501203500E-2 " "
Order of pole (three term test) = 22.00727513500577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7100000000000004 " "
y[1] (analytic) = 0.5898043529879551 " "
y[1] (numeric) = 0.5898043529879546 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.52943255844589800000000000000E-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 = 7.51127349558426400E-2 " "
Order of pole (three term test) = 22.005674118574145 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7200000000000004 " "
y[1] (analytic) = 0.5888095988876317 " "
y[1] (numeric) = 0.5888095988876314 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.656614770152708000000000000000E-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 = 6.52118543690720900E-2 " "
Order of pole (three term test) = 22.004270825904165 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7300000000000004 " "
y[1] (analytic) = 0.5879559626514317 " "
y[1] (numeric) = 0.5879559626514312 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.55310326044503200000000000000E-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 = 5.52848899100344600E-2 " "
Order of pole (three term test) = 22.003065818294175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7400000000000004 " "
y[1] (analytic) = 0.587243529642267 " "
y[1] (numeric) = 0.5872435296422666 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.56226654588412100000000000000E-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 = 4.533581223215439300E-2 " "
Order of pole (three term test) = 22.002059577731178 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7500000000000004 " "
y[1] (analytic) = 0.586672371102845 " "
y[1] (numeric) = 0.5866723711028445 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.56962883756141200000000000000E-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 = 3.536860083385122700E-2 " "
Order of pole (three term test) = 22.00125250669797 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7600000000000005 " "
y[1] (analytic) = 0.5862425441485435 " "
y[1] (numeric) = 0.586242544148543 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.57517881093150900000000000000E-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 = 2.53872424667888200E-2 " "
Order of pole (three term test) = 22.00064492801221 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7700000000000005 " "
y[1] (analytic) = 0.5859540917617 " "
y[1] (numeric) = 0.5859540917616994 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.47363488227564100000000000000E-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 = 1.539572954123251700E-2 " "
Order of pole (three term test) = 22.000237084697257 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7800000000000005 " "
y[1] (analytic) = 0.5858070427873124 " "
y[1] (numeric) = 0.585807042787312 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.58081035927895100000000000000E-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 = 5.398058529133183000E-3 " "
Order of pole (three term test) = 22.000029139885022 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.7900000000000005 " "
y[1] (analytic) = 0.5858014119301561 " "
y[1] (numeric) = 0.5858014119301557 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.58088322776201200000000000000E-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 = 4.601771634404881500E-3 " "
Order of pole (three term test) = 22.000021176750625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8000000000000005 " "
y[1] (analytic) = 0.5859371997533118 " "
y[1] (numeric) = 0.5859371997533114 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.5791263984780400000000000000E-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 = 1.459976115064491300E-2 " "
Order of pole (three term test) = 22.000213198479248 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8100000000000005 " "
y[1] (analytic) = 0.5862143926781105 " "
y[1] (numeric) = 0.58621439267811 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.57554258982364200000000000000E-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 = 2.459191095708589400E-2 " "
Order of pole (three term test) = 22.000605128264738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8200000000000005 " "
y[1] (analytic) = 0.5866329629854907 " "
y[1] (numeric) = 0.5866329629854902 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.46267167612788700000000000000E-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 = 3.457422432703144400E-2 " "
Order of pole (three term test) = 22.001196809340414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8300000000000005 " "
y[1] (analytic) = 0.5871928688187702 " "
y[1] (numeric) = 0.5871928688187698 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.56291899020192700000000000000E-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 = 4.454270846823013600E-2 " "
Order of pole (three term test) = 22.00198800504173 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8400000000000005 " "
y[1] (analytic) = 0.5878940541878326 " "
y[1] (numeric) = 0.5878940541878321 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.553898643584099000000000000E-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 = 5.44933761199358700E-2 " "
Order of pole (three term test) = 22.00297839890096 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8500000000000005 " "
y[1] (analytic) = 0.5887364489747251 " "
y[1] (numeric) = 0.5887364489747247 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.54309013181427300000000000000E-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 = 6.44222471477625600E-2 " "
Order of pole (three term test) = 22.004167594773772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8600000000000005 " "
y[1] (analytic) = 0.5897199689406712 " "
y[1] (numeric) = 0.5897199689406707 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.41313744741828900000000000000E-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 = 7.43253501356823600E-2 " "
Order of pole (three term test) = 22.005555116997655 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8700000000000006 " "
y[1] (analytic) = 0.5908445157344938 " "
y[1] (numeric) = 0.5908445157344933 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.39522154356472500000000000000E-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 = 8.41987239745389600E-2 " "
Order of pole (three term test) = 22.007140410582224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8800000000000006 " "
y[1] (analytic) = 0.5921099769024506 " "
y[1] (numeric) = 0.59210997690245 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.37514201697081400000000000000E-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 = 9.40384194464403200E-2 " "
Order of pole (three term test) = 22.008922841431186 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.8900000000000006 " "
y[1] (analytic) = 0.5935162258994794 " "
y[1] (numeric) = 0.5935162258994788 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.35292900326863900000000000000E-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 = 0.10384050080439249 " "
Order of pole (three term test) = 22.01090169659598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9000000000000006 " "
y[1] (analytic) = 0.5950631221018523 " "
y[1] (numeric) = 0.5950631221018517 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.32861559882657600000000000000E-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 = 0.1136010473465438 " "
Order of pole (three term test) = 22.0130761845609 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9100000000000006 " "
y[1] (analytic) = 0.596750510821238 " "
y[1] (numeric) = 0.5967505108212376 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.581342644000186000000000000000E-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 = 0.1233161549844178 " "
Order of pole (three term test) = 22.01544543555977 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9200000000000006 " "
y[1] (analytic) = 0.5985782233201714 " "
y[1] (numeric) = 0.5985782233201707 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.1128600888288380000000000000E-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 = 0.13298193780449052 " "
Order of pole (three term test) = 22.018008501923774 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9300000000000006 " "
y[1] (analytic) = 0.6005460768289247 " "
y[1] (numeric) = 0.6005460768289242 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.39475665539263200000000000000E-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 = 0.14259452962251112 " "
Order of pole (three term test) = 22.020764358460543 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9400000000000006 " "
y[1] (analytic) = 0.6026538745637877 " "
y[1] (numeric) = 0.6026538745637872 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.21111662501761000000000000000E-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 = 0.152150085529917 " "
Order of pole (three term test) = 22.0237119028642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9500000000000006 " "
y[1] (analytic) = 0.604901405746743 " "
y[1] (numeric) = 0.6049014057467424 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 9.17689241649720200000000000000E-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 = 0.16164478343175254 " "
Order of pole (three term test) = 22.026849956156294 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9600000000000006 " "
y[1] (analytic) = 0.6072884456265452 " "
y[1] (numeric) = 0.6072884456265447 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.31265699270618700000000000000E-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 = 0.17107482557544956 " "
Order of pole (three term test) = 22.030177263157334 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9700000000000006 " "
y[1] (analytic) = 0.6098147555011957 " "
y[1] (numeric) = 0.6098147555011952 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.28236248539236700000000000000E-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 = 0.18043644006988419 " "
Order of pole (three term test) = 22.033692492988898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9800000000000006 " "
y[1] (analytic) = 0.6124800827418125 " "
y[1] (numeric) = 0.6124800827418119 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.08760077844996440000000000000E-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 = 0.1897258823940781 " "
Order of pole (three term test) = 22.037394239605916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 0.9900000000000007 " "
y[1] (analytic) = 0.6152841608178923 " "
y[1] (numeric) = 0.6152841608178916 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 1.08264417840629540000000000000E-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 = 0.19893943689495874 " "
Order of pole (three term test) = 22.041281022359094 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0000000000000007 " "
y[1] (analytic) = 0.6182267093239638 " "
y[1] (numeric) = 0.6182267093239635 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.38745580487388500000000000000E-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 = 0.2080734182735719 " "
Order of pole (three term test) = 22.045351286587163 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0100000000000007 " "
y[1] (analytic) = 0.6213074340076296 " "
y[1] (numeric) = 0.6213074340076291 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 7.14765646671160400000000000000E-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 = 0.21712417305915074 " "
Order of pole (three term test) = 22.049603404238685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0200000000000007 " "
y[1] (analytic) = 0.6245260267989876 " "
y[1] (numeric) = 0.6245260267989873 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.33311492388369600000000000000E-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 = 0.2260880810704569 " "
Order of pole (three term test) = 22.05403567452331 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0300000000000007 " "
y[1] (analytic) = 0.6278821658414414 " "
y[1] (numeric) = 0.6278821658414411 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.30460849992761300000000000000E-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 = 0.23496155686380188 " "
Order of pole (three term test) = 22.05864632459202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0400000000000007 " "
y[1] (analytic) = 0.6313755155238836 " "
y[1] (numeric) = 0.631375515523883 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 8.79209754993388800000000000000E-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 = 0.24374105116718037 " "
Order of pole (three term test) = 22.063433510246245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0500000000000007 " "
y[1] (analytic) = 0.6350057265142564 " "
y[1] (numeric) = 0.635005726514256 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.24510084681999100000000000000E-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 = 0.2524230522999297 " "
Order of pole (three term test) = 22.068395316675566 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0600000000000007 " "
y[1] (analytic) = 0.6387724357944864 " "
y[1] (numeric) = 0.6387724357944861 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.214171569148692000000000000000E-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 = 0.26100408757735455 " "
Order of pole (three term test) = 22.07352975922356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0700000000000007 " "
y[1] (analytic) = 0.6426752666967845 " "
y[1] (numeric) = 0.6426752666967842 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.18250700854633300000000000000E-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 = 0.26948072469975654 " "
Order of pole (three term test) = 22.078834784181677 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0800000000000007 " "
y[1] (analytic) = 0.6467138289413128 " "
y[1] (numeric) = 0.6467138289413125 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.150143579468310000000000000000E-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 = 0.277849573125307 " "
Order of pole (three term test) = 22.08430826961066 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.0900000000000007 " "
y[1] (analytic) = 0.6508877186752122 " "
y[1] (numeric) = 0.6508877186752119 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.117117712183239000000000000000E-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 = 0.2861072854262187 " "
Order of pole (three term test) = 22.08994802618931 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1000000000000008 " "
y[1] (analytic) = 0.6551965185129875 " "
y[1] (numeric) = 0.6551965185129873 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.38897717938087430000000000000E-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 = 0.29425055862767335 " "
Order of pole (three term test) = 22.095751798090205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1100000000000008 " "
y[1] (analytic) = 0.6596397975782458 " "
y[1] (numeric) = 0.6596397975782455 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.36614930967218730000000000000E-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 = 0.3022761355289653 " "
Order of pole (three term test) = 22.101717263881955 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1200000000000008 " "
y[1] (analytic) = 0.6642171115467832 " "
y[1] (numeric) = 0.6642171115467829 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 5.014428288544444000000000000000E-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 = 0.31018080600634046 " "
Order of pole (three term test) = 22.10784203745779 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1300000000000008 " "
y[1] (analytic) = 0.668928002691017 " "
y[1] (numeric) = 0.6689280026910168 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.319409623035252700000000000000E-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 = 0.3179614082970019 " "
Order of pole (three term test) = 22.11412366898994 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1400000000000008 " "
y[1] (analytic) = 0.6737719999257589 " "
y[1] (numeric) = 0.6737719999257586 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.295545153991228400000000000000E-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 = 0.32561483026377347 " "
Order of pole (three term test) = 22.12055964590954 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1500000000000008 " "
y[1] (analytic) = 0.678748618855322 " "
y[1] (numeric) = 0.6787486188553217 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.90707307735297900000000000000E-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 = 0.3331380106399128 " "
Order of pole (three term test) = 22.12714739391164 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1600000000000008 " "
y[1] (analytic) = 0.6838573618219602 " "
y[1] (numeric) = 0.68385736182196 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.24694325631665560000000000000E-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 = 0.3405279402535768 " "
Order of pole (three term test) = 22.133884277984873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1700000000000008 " "
y[1] (analytic) = 0.6890977179556345 " "
y[1] (numeric) = 0.6890977179556342 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.222251346061300000000000000E-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 = 0.3477816632314514 " "
Order of pole (three term test) = 22.140767603465438 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1800000000000008 " "
y[1] (analytic) = 0.6944691632250983 " "
y[1] (numeric) = 0.694469163225098 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.79599275280693700000000000000E-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 = 0.35489627818106084 " "
Order of pole (three term test) = 22.14779461711491 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.1900000000000008 " "
y[1] (analytic) = 0.6999711604903008 " "
y[1] (numeric) = 0.6999711604903005 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.75829471537437900000000000000E-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 = 0.3618689393512849 " "
Order of pole (three term test) = 22.154962508221534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2000000000000008 " "
y[1] (analytic) = 0.7056031595561006 " "
y[1] (numeric) = 0.7056031595561002 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.29375313638677500000000000000E-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 = 0.36869685777062333 " "
Order of pole (three term test) = 22.162268409724422 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2100000000000009 " "
y[1] (analytic) = 0.7113645972272843 " "
y[1] (numeric) = 0.7113645972272838 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.2427791821663300000000000000E-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 = 0.37537730236274613 " "
Order of pole (three term test) = 22.169709399360404 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2200000000000009 " "
y[1] (analytic) = 0.7172548973648859 " "
y[1] (numeric) = 0.7172548973648856 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.643633785021161000000000000000E-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 = 0.3819076010388877 " "
Order of pole (three term test) = 22.17728250083281 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2300000000000009 " "
y[1] (analytic) = 0.7232734709438003 " "
y[1] (numeric) = 0.7232734709438001 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.06999515183772830000000000000E-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 = 0.38828514176664713 " "
Order of pole (three term test) = 22.184984685002057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2400000000000009 " "
y[1] (analytic) = 0.7294197161116854 " "
y[1] (numeric) = 0.729419716111685 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 6.08825344367392600000000000000E-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 = 0.394507373614766 " "
Order of pole (three term test) = 22.192812871097143 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.2500000000000009 " "
y[1] (analytic) = 0.7356930182491456 " "
y[1] (numeric) = 0.7356930182491453 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 3.018169255615185700000000000000E-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 = 0.4005718077734673 " "
Order of pole (three term test) = 22.200763927948024 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.260000000000001 " "
y[1] (analytic) = 0.7420927500311955 " "
y[1] (numeric) = 0.7420927500311951 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.488211310156929000000000000000E-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 = 0.40647601854994553 " "
Order of pole (three term test) = 22.208834675237956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.270000000000001 " "
y[1] (analytic) = 0.7486182714899896 " "
y[1] (numeric) = 0.7486182714899893 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.44908867538909240000000000000E-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 = 0.4122176443386116 " "
Order of pole (three term test) = 22.217021884775647 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.280000000000001 " "
y[1] (analytic) = 0.7552689300788202 " "
y[1] (numeric) = 0.7552689300788198 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.8798818826522800000000000000E-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 = 0.4177943885657042 " "
Order of pole (three term test) = 22.225322281786436 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.290000000000001 " "
y[1] (analytic) = 0.7620440607373703 " "
y[1] (numeric) = 0.76204406073737 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.370704064870793000000000000000E-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 = 0.4232040206078882 " "
Order of pole (three term test) = 22.23373254622219 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.300000000000001 " "
y[1] (analytic) = 0.7689429859582203 " "
y[1] (numeric) = 0.7689429859582199 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.77532038082979300000000000000E-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 = 0.42844437668447416 " "
Order of pole (three term test) = 22.242249314089268 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.310000000000001 " "
y[1] (analytic) = 0.775965015854597 " "
y[1] (numeric) = 0.7759650158545965 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.72305710665282900000000000000E-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 = 0.4335133607229016 " "
Order of pole (three term test) = 22.25086917879408 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.320000000000001 " "
y[1] (analytic) = 0.7831094482293626 " "
y[1] (numeric) = 0.783109448229362 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 7.08855593005172500000000000000E-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 = 0.4384089451971412 " "
Order of pole (three term test) = 22.259588692505673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.330000000000001 " "
y[1] (analytic) = 0.790375568645233 " "
y[1] (numeric) = 0.7903755686452325 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.61871124902389300000000000000E-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 = 0.44312917193867646 " "
Order of pole (three term test) = 22.26840436753483 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.340000000000001 " "
y[1] (analytic) = 0.797762650496222 " "
y[1] (numeric) = 0.7977626504962214 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.95835424192006800000000000000E-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 = 0.44767215291974644 " "
Order of pole (three term test) = 22.277312677729068 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.350000000000001 " "
y[1] (analytic) = 0.8052699550803 " "
y[1] (numeric) = 0.8052699550802996 " "
absolute error = 3.33066907387546960000000000000000E-16 " "
relative error = 4.136090081174507000000000000000E-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 = 0.45203607100853094 " "
Order of pole (three term test) = 22.28631005988309 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.360000000000001 " "
y[1] (analytic) = 0.8128967316732651 " "
y[1] (numeric) = 0.8128967316732647 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.463045827923926000000000000000E-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 = 0.4562191806959794 " "
Order of pole (three term test) = 22.295392915163987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.370000000000001 " "
y[1] (analytic) = 0.8206422176038135 " "
y[1] (numeric) = 0.8206422176038131 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.41148383941000600000000000000E-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 = 0.46021980879399077 " "
Order of pole (three term test) = 22.304557610550773 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.380000000000001 " "
y[1] (analytic) = 0.8285056383298066 " "
y[1] (numeric) = 0.8285056383298062 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 5.36012296482745500000000000000E-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 = 0.4640363551046667 " "
Order of pole (three term test) = 22.313800480287476 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.390000000000001 " "
y[1] (analytic) = 0.8364862075157249 " "
y[1] (numeric) = 0.8364862075157242 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.9634763704405900000000000000E-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 = 0.46766729306036975 " "
Order of pole (three term test) = 22.323117827349424 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.400000000000001 " "
y[1] (analytic) = 0.8445831271112998 " "
y[1] (numeric) = 0.8445831271112991 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.88713145446618000000000000000E-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 = 0.4711111703343294 " "
Order of pole (three term test) = 22.33250592492205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.410000000000001 " "
y[1] (analytic) = 0.8527955874313193 " "
y[1] (numeric) = 0.8527955874313187 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.81117801959477900000000000000E-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 = 0.47436660942155384 " "
Order of pole (three term test) = 22.341961017891474 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.420000000000001 " "
y[1] (analytic) = 0.8611227672365953 " "
y[1] (numeric) = 0.8611227672365946 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.73564281563202800000000000000E-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 = 0.4774323081898136 " "
Order of pole (three term test) = 22.351479324346588 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.430000000000001 " "
y[1] (analytic) = 0.8695638338160864 " "
y[1] (numeric) = 0.8695638338160858 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.38379254892039200000000000000E-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 = 0.4803070404004764 " "
Order of pole (three term test) = 22.361057037091705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.440000000000001 " "
y[1] (analytic) = 0.8781179430701691 " "
y[1] (numeric) = 0.8781179430701683 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.85024754784572400000000000000E-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 = 0.48298965619898765 " "
Order of pole (three term test) = 22.37069032516944 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.450000000000001 " "
y[1] (analytic) = 0.8867842395950459 " "
y[1] (numeric) = 0.8867842395950453 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.5117913132881910000000000000E-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 = 0.48547908257479555 " "
Order of pole (three term test) = 22.38037533539301 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.460000000000001 " "
y[1] (analytic) = 0.8955618567682866 " "
y[1] (numeric) = 0.8955618567682859 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.43816643976884100000000000000E-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 = 0.4877743237905414 " "
Order of pole (three term test) = 22.390108193887436 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.470000000000001 " "
y[1] (analytic) = 0.9044499168354883 " "
y[1] (numeric) = 0.9044499168354877 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.13755943783837400000000000000E-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 = 0.4898744617803423 " "
Order of pole (three term test) = 22.39988500763911 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.480000000000001 " "
y[1] (analytic) = 0.9134475309980512 " "
y[1] (numeric) = 0.9134475309980506 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.07710342931303500000000000000E-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 = 0.49177865651700337 " "
Order of pole (three term test) = 22.409701866052885 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.490000000000001 " "
y[1] (analytic) = 0.922553799502057 " "
y[1] (numeric) = 0.9225537995020564 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 6.01711805438551600000000000000E-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 = 0.49348614634801913 " "
Order of pole (three term test) = 22.419554842516277 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.500000000000001 " "
y[1] (analytic) = 0.9317678117282437 " "
y[1] (numeric) = 0.9317678117282431 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 7.14913958596131700000000000000E-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 = 0.4949962483002228 " "
Order of pole (three term test) = 22.429439995970064 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5100000000000011 " "
y[1] (analytic) = 0.9410886462830669 " "
y[1] (numeric) = 0.9410886462830664 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 4.71888818980062900000000000000E-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 = 0.49630835835296855 " "
Order of pole (three term test) = 22.439353372484682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5200000000000011 " "
y[1] (analytic) = 0.9505153710908388 " "
y[1] (numeric) = 0.9505153710908383 " "
absolute error = 5.5511151231257830000000000000000E-16 " "
relative error = 5.84011084087484300000000000000E-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 = 0.4974219516797297 " "
Order of pole (three term test) = 22.449291006841694 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5300000000000011 " "
y[1] (analytic) = 0.960047043486934 " "
y[1] (numeric) = 0.9600470434869334 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.93855388956426500000000000000E-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 = 0.4983365828580234 " "
Order of pole (three term test) = 22.459248924119862 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5400000000000011 " "
y[1] (analytic) = 0.969682710312056 " "
y[1] (numeric) = 0.9696827103120552 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 8.01454031275355100000000000000E-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 = 0.49905188604757295 " "
Order of pole (three term test) = 22.469223141285042 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5500000000000012 " "
y[1] (analytic) = 0.9794214080075516 " "
y[1] (numeric) = 0.979421408007551 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.80129931129663200000000000000E-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 = 0.4995675751366399 " "
Order of pole (three term test) = 22.47920966878336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5600000000000012 " "
y[1] (analytic) = 0.9892621627117675 " "
y[1] (numeric) = 0.9892621627117667 " "
absolute error = 7.7715611723760960000000000000000E-16 " "
relative error = 7.85591672795073400000000000000E-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 = 0.4998834438564642 " "
Order of pole (three term test) = 22.489204512136958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5700000000000012 " "
y[1] (analytic) = 0.9992039903574333 " "
y[1] (numeric) = 0.9992039903574325 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.88885981512551600000000000000E-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 = 0.49999936586376986 " "
Order of pole (three term test) = 22.499203673541757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5800000000000012 " "
y[1] (analytic) = 1.0092458967700693 " "
y[1] (numeric) = 1.0092458967700686 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.60031234119404500000000000000E-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 = 0.49991529479129904 " "
Order of pole (three term test) = 22.50920315346653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.5900000000000012 " "
y[1] (analytic) = 1.0193868777674027 " "
y[1] (numeric) = 1.019386877767402 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.53465165486550600000000000000E-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 = 0.49963126426636034 " "
Order of pole (three term test) = 22.51919895225262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6000000000000012 " "
y[1] (analytic) = 1.029625919259785 " "
y[1] (numeric) = 1.0296259192597839 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.07827804628628040000000000000E-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 = 0.49914738789737645 " "
Order of pole (three term test) = 22.52918707171379 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6100000000000012 " "
y[1] (analytic) = 1.039961997351598 " "
y[1] (numeric) = 1.0399619973515974 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 6.40536689293928500000000000000E-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 = 0.49846385922844333 " "
Order of pole (three term test) = 22.53916351673543 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6200000000000012 " "
y[1] (analytic) = 1.0503940784436476 " "
y[1] (numeric) = 1.0503940784436467 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 8.45566857170525200000000000000E-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 = 0.497580951661915 " "
Order of pole (three term test) = 22.54912429687255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6300000000000012 " "
y[1] (analytic) = 1.0609211193365171 " "
y[1] (numeric) = 1.060921119336516 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 1.0464708491423680000000000000E-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 = 0.49649901834904636 " "
Order of pole (three term test) = 22.559065427945914 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6400000000000012 " "
y[1] (analytic) = 1.0715420673348899 " "
y[1] (numeric) = 1.0715420673348885 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.24331808350162820000000000000E-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 = 0.49521849204873636 " "
Order of pole (three term test) = 22.568982933635613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6500000000000012 " "
y[1] (analytic) = 1.0822558603528165 " "
y[1] (numeric) = 1.0822558603528152 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.23100985483771590000000000000E-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 = 0.4937398849544323 " "
Order of pole (three term test) = 22.578872847071626 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6600000000000013 " "
y[1] (analytic) = 1.0930614270199237 " "
y[1] (numeric) = 1.0930614270199224 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.21884058536620920000000000000E-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 = 0.4920637884892571 " "
Order of pole (three term test) = 22.588731212420434 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6700000000000013 " "
y[1] (analytic) = 1.1039576867885494 " "
y[1] (numeric) = 1.1039576867885479 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.4079454793206490000000000000E-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 = 0.49019087306944914 " "
Order of pole (three term test) = 22.598554086467335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6800000000000013 " "
y[1] (analytic) = 1.1149435500417966 " "
y[1] (numeric) = 1.1149435500417952 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.19491935667975670000000000000E-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 = 0.48812188783620475 " "
Order of pole (three term test) = 22.60833754019369 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.6900000000000013 " "
y[1] (analytic) = 1.1260179182024954 " "
y[1] (numeric) = 1.1260179182024939 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.38036190130653160000000000000E-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 = 0.4858576603560309 " "
Order of pole (three term test) = 22.61807766034845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7000000000000013 " "
y[1] (analytic) = 1.1371796838430575 " "
y[1] (numeric) = 1.1371796838430561 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.17155419541777050000000000000E-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 = 0.48339909628973027 " "
Order of pole (three term test) = 22.627770551013413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7100000000000013 " "
y[1] (analytic) = 1.148427730796221 " "
y[1] (numeric) = 1.1484277307962196 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.16007964090740660000000000000E-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 = 0.4807471790301492 " "
Order of pole (three term test) = 22.637412335161564 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7200000000000013 " "
y[1] (analytic) = 1.1597609342666635 " "
y[1] (numeric) = 1.1597609342666624 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 9.57286102525232400000000000000E-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 = 0.4779029693088328 " "
Order of pole (three term test) = 22.646999156207784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7300000000000013 " "
y[1] (analytic) = 1.1711781609434828 " "
y[1] (numeric) = 1.1711781609434815 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.13754480230141420000000000000E-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 = 0.4748676047717478 " "
Order of pole (three term test) = 22.65652717955149 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7400000000000013 " "
y[1] (analytic) = 1.1826782691135251 " "
y[1] (numeric) = 1.1826782691135236 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.31423082258901370000000000000E-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 = 0.47164229952423736 " "
Order of pole (three term test) = 22.665992594110364 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7500000000000013 " "
y[1] (analytic) = 1.1942601087755569 " "
y[1] (numeric) = 1.1942601087755553 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.3014855164749780000000000000E-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 = 0.4682283436453978 " "
Order of pole (three term test) = 22.675391613844813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7600000000000013 " "
y[1] (analytic) = 1.2059225217552632 " "
y[1] (numeric) = 1.2059225217552618 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.10477050184868020000000000000E-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 = 0.4646271026720612 " "
Order of pole (three term test) = 22.68472047927224 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7700000000000014 " "
y[1] (analytic) = 1.2176643418210649 " "
y[1] (numeric) = 1.2176643418210638 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 9.11764421847792800000000000000E-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 = 0.4608400170526013 " "
Order of pole (three term test) = 22.693975458970865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7800000000000014 " "
y[1] (analytic) = 1.2294843948007408 " "
y[1] (numeric) = 1.2294843948007395 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.08359864930705750000000000000E-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 = 0.45686860157077186 " "
Order of pole (three term test) = 22.703152851072208 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.7900000000000014 " "
y[1] (analytic) = 1.241381498698842 " "
y[1] (numeric) = 1.2413814986988407 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.07321369856616060000000000000E-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 = 0.45271444473981437 " "
Order of pole (three term test) = 22.712248984741795 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8000000000000014 " "
y[1] (analytic) = 1.2533544638148932 " "
y[1] (numeric) = 1.2533544638148921 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 8.85801308949679900000000000000E-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 = 0.44837920816707294 " "
Order of pole (three term test) = 22.721260221647427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8100000000000014 " "
y[1] (analytic) = 1.2654020928623608 " "
y[1] (numeric) = 1.2654020928623595 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.05284133562366420000000000000E-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 = 0.4438646258893744 " "
Order of pole (three term test) = 22.730182957414502 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8200000000000014 " "
y[1] (analytic) = 1.2775231810883794 " "
y[1] (numeric) = 1.2775231810883778 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.21666068959393040000000000000E-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 = 0.43917250367943633 " "
Order of pole (three term test) = 22.739013623067674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8300000000000014 " "
y[1] (analytic) = 1.2897165163942268 " "
y[1] (numeric) = 1.2897165163942252 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.20515804420396650000000000000E-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 = 0.43430471832358164 " "
Order of pole (three term test) = 22.747748686458422 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8400000000000014 " "
y[1] (analytic) = 1.3019808794565337 " "
y[1] (numeric) = 1.3019808794565324 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.02326205443684880000000000000E-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 = 0.4292632168710502 " "
Order of pole (three term test) = 22.75638465367786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8500000000000014 " "
y[1] (analytic) = 1.3143150438492148 " "
y[1] (numeric) = 1.3143150438492133 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.1826024831330609000000000000E-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 = 0.4240500158552034 " "
Order of pole (three term test) = 22.764918070454247 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8600000000000014 " "
y[1] (analytic) = 1.3267177761661082 " "
y[1] (numeric) = 1.3267177761661069 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 1.004183145416290000000000000E-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 = 0.41866720048693934 " "
Order of pole (three term test) = 22.77334552353465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8700000000000014 " "
y[1] (analytic) = 1.3391878361443186 " "
y[1] (numeric) = 1.3391878361443172 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.94832534759235200000000000000E-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 = 0.4131169238206353 " "
Order of pole (three term test) = 22.781663642050187 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8800000000000014 " "
y[1] (analytic) = 1.3517239767882399 " "
y[1] (numeric) = 1.3517239767882383 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.1498739840128741000000000000E-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 = 0.40740140589295537 " "
Order of pole (three term test) = 22.789869098864372 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.8900000000000015 " "
y[1] (analytic) = 1.3643249444942538 " "
y[1] (numeric) = 1.3643249444942522 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.13925369520484150000000000000E-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 = 0.40152293283486445 " "
Order of pole (three term test) = 22.797958611903884 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9000000000000015 " "
y[1] (analytic) = 1.3769894791760908 " "
y[1] (numeric) = 1.3769894791760893 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.1287756791033930000000000000E-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 = 0.3954838559572076 " "
Order of pole (three term test) = 22.80592894547136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9100000000000015 " "
y[1] (analytic) = 1.3897163143908364 " "
y[1] (numeric) = 1.389716314390835 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.58661574131530200000000000000E-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 = 0.3892865908102153 " "
Order of pole (three term test) = 22.813776911539644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9200000000000015 " "
y[1] (analytic) = 1.402504177465575 " "
y[1] (numeric) = 1.4025041774655738 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.49920614110177000000000000000E-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 = 0.3829336162173178 " "
Order of pole (three term test) = 22.821499371026952 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9300000000000015 " "
y[1] (analytic) = 1.415351789624656 " "
y[1] (numeric) = 1.4153517896246544 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.09818085218757870000000000000E-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 = 0.3764274732836467 " "
Order of pole (three term test) = 22.829093235052454 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9400000000000015 " "
y[1] (analytic) = 1.4282578661175687 " "
y[1] (numeric) = 1.4282578661175673 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.32792082687203400000000000000E-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 = 0.36977076437962836 " "
Order of pole (three term test) = 22.83655546617178 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9500000000000015 " "
y[1] (analytic) = 1.4412211163474193 " "
y[1] (numeric) = 1.4412211163474182 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 7.70334969445123800000000000000E-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 = 0.3629661521000692 " "
Order of pole (three term test) = 22.843883079591986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9600000000000015 " "
y[1] (analytic) = 1.4542402439999882 " "
y[1] (numeric) = 1.4542402439999869 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.1612622814349700000000000000E-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 = 0.35601635819915406 " "
Order of pole (three term test) = 22.851073144365404 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9700000000000015 " "
y[1] (analytic) = 1.4673139471733585 " "
y[1] (numeric) = 1.4673139471733572 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.0796358346942410000000000000E-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 = 0.3489241625017808 " "
Order of pole (three term test) = 22.85812278456199 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9800000000000015 " "
y[1] (analytic) = 1.480440918508108 " "
y[1] (numeric) = 1.4804409185081067 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 8.9991273065645890000000000000E-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 = 0.3416924017916673 " "
Order of pole (three term test) = 22.86502918041965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 1.9900000000000015 " "
y[1] (analytic) = 1.4936198453180423 " "
y[1] (numeric) = 1.493619845318041 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 8.9197236748451400000000000000E-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 = 0.3343239686766745 " "
Order of pole (three term test) = 22.87178956947214 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0000000000000013 " "
y[1] (analytic) = 1.5068494097214624 " "
y[1] (numeric) = 1.5068494097214613 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 7.36784324606384200000000000000E-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 = 0.3268218104318049 " "
Order of pole (three term test) = 22.878401247653965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.010000000000001 " "
y[1] (analytic) = 1.520128288772953 " "
y[1] (numeric) = 1.5201282887729521 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 5.84278594286974600000000000000E-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 = 0.31918892782032854 " "
Order of pole (three term test) = 22.884861570382014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.020000000000001 " "
y[1] (analytic) = 1.5334551545956745 " "
y[1] (numeric) = 1.5334551545956738 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.34400584052771430000000000000E-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 = 0.31142837389352007 " "
Order of pole (three term test) = 22.89116795361333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0300000000000007 " "
y[1] (analytic) = 1.5468286745141502 " "
y[1] (numeric) = 1.54682867451415 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.43548285975998100000000000000E-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 = 0.3035432527694767 " "
Order of pole (three term test) = 22.897317874878695 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0400000000000005 " "
y[1] (analytic) = 1.5602475111875331 " "
y[1] (numeric) = 1.5602475111875331 " "
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 = 0.2955367183915154 " "
Order of pole (three term test) = 22.903308874291618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0500000000000003 " "
y[1] (analytic) = 1.5737103227433376 " "
y[1] (numeric) = 1.5737103227433382 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.23288711491623200000000000000E-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 = 0.2874119732666343 " "
Order of pole (three term test) = 22.909138555532202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.06 " "
y[1] (analytic) = 1.5872157629116281 " "
y[1] (numeric) = 1.5872157629116288 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.196869955179386000000000000000E-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 = 0.27917226718455523 " "
Order of pole (three term test) = 22.914804586805687 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.07 " "
y[1] (analytic) = 1.6007624811596417 " "
y[1] (numeric) = 1.6007624811596426 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 5.54847099525159600000000000000E-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 = 0.2708208959178492 " "
Order of pole (three term test) = 22.920304701775102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0799999999999996 " "
y[1] (analytic) = 1.6143491228268425 " "
y[1] (numeric) = 1.6143491228268436 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 6.87721762861973400000000000000E-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 = 0.2623611999036733 " "
Order of pole (three term test) = 22.925636700467788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.0899999999999994 " "
y[1] (analytic) = 1.6279743292603857 " "
y[1] (numeric) = 1.6279743292603872 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 9.54752299553376600000000000000E-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 = 0.25379656290763913 " "
Order of pole (three term test) = 22.930798450155365 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.099999999999999 " "
y[1] (analytic) = 1.6416367379509826 " "
y[1] (numeric) = 1.6416367379509844 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.08206450205142180000000000000E-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 = 0.24513041067035068 " "
Order of pole (three term test) = 22.935787886206793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.109999999999999 " "
y[1] (analytic) = 1.6553349826691495 " "
y[1] (numeric) = 1.6553349826691515 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.20724896486084880000000000000E-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 = 0.23636620953715573 " "
Order of pole (three term test) = 22.940603012914167 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1199999999999988 " "
y[1] (analytic) = 1.6690676936018294 " "
y[1] (numeric) = 1.6690676936018318 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 1.46338621467441920000000000000E-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 = 0.22750746507165331 " "
Order of pole (three term test) = 22.94524190429099 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1299999999999986 " "
y[1] (analytic) = 1.682833497489373 " "
y[1] (numeric) = 1.682833497489376 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 1.71530924974568730000000000000E-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 = 0.21855772065351506 " "
Order of pole (three term test) = 22.94970270484259 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1399999999999983 " "
y[1] (analytic) = 1.6966310177628636 " "
y[1] (numeric) = 1.6966310177628665 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 1.70135983239984700000000000000E-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 = 0.20952055606117934 " "
Order of pole (three term test) = 22.953983630308205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.149999999999998 " "
y[1] (analytic) = 1.7104588746817706 " "
y[1] (numeric) = 1.7104588746817742 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.0770529659542270000000000000E-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 = 0.20039958603998936 " "
Order of pole (three term test) = 22.958082968374725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.159999999999998 " "
y[1] (analytic) = 1.7243156854719266 " "
y[1] (numeric) = 1.7243156854719301 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.06036151543106870000000000000E-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 = 0.19119845885634199 " "
Order of pole (three term test) = 22.9619990793616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1699999999999977 " "
y[1] (analytic) = 1.7382000644637987 " "
y[1] (numeric) = 1.7382000644638027 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 2.2993917503296724000000000000E-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 = 0.18192085483843162 " "
Order of pole (three term test) = 22.965730396876623 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1799999999999975 " "
y[1] (analytic) = 1.7521106232310588 " "
y[1] (numeric) = 1.752110623231063 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 2.4078659404482340000000000000E-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 = 0.17257048490416385 " "
Order of pole (three term test) = 22.96927542844255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.1899999999999973 " "
y[1] (analytic) = 1.766045970729422 " "
y[1] (numeric) = 1.7660459707294265 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.5145959800052230000000000000E-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 = 0.16315108907684436 " "
Order of pole (three term test) = 22.972632756094033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.199999999999997 " "
y[1] (analytic) = 1.7800047134357513 " "
y[1] (numeric) = 1.780004713435756 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 2.61962042472645650000000000000E-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 = 0.15366643498921234 " "
Order of pole (three term test) = 22.975801036944763 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.209999999999997 " "
y[1] (analytic) = 1.7939854554874082 " "
y[1] (numeric) = 1.793985455487413 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.7229770973942970000000000000E-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 = 0.1441203163764438 " "
Order of pole (three term test) = 22.978779003724636 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2199999999999966 " "
y[1] (analytic) = 1.807986798821838 " "
y[1] (numeric) = 1.8079867988218432 " "
absolute error = 5.10702591327572000000000000000E-15 " "
relative error = 2.8247030988299680000000000000E-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 = 0.13451655155870273 " "
Order of pole (three term test) = 22.981565465286653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2299999999999964 " "
y[1] (analytic) = 1.822007343316375 " "
y[1] (numeric) = 1.8220073433163808 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 3.168571053913890000000000000E-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 = 0.12485898191386909 " "
Order of pole (three term test) = 22.984159307083353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.239999999999996 " "
y[1] (analytic) = 1.8360456869282546 " "
y[1] (numeric) = 1.83604568692826 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.902471630276480000000000000E-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 = 0.11515147034103326 " "
Order of pole (three term test) = 22.98655949161258 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.249999999999996 " "
y[1] (analytic) = 1.8501004258348122 " "
y[1] (numeric) = 1.8501004258348182 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 3.24047508408666900000000000000E-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 = 0.10539789971539386 " "
Order of pole (three term test) = 22.98876505883255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.259999999999996 " "
y[1] (analytic) = 1.864170154573871 " "
y[1] (numeric) = 1.864170154573877 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 3.21601776440106350000000000000E-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 = 9.56021713351550300E-2 " "
Order of pole (three term test) = 22.990775126545756 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2699999999999956 " "
y[1] (analytic) = 1.878253466184281 " "
y[1] (numeric) = 1.8782534661842871 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.31012243546201200000000000000E-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 = 8.57682033610603800E-2 " "
Order of pole (three term test) = 22.99258889075193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.2799999999999954 " "
y[1] (analytic) = 1.8923489523466173 " "
y[1] (numeric) = 1.892348952346624 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 3.52014259288199070000000000000E-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 = 7.58999292491822300E-2 " "
Order of pole (three term test) = 22.994205625969567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.289999999999995 " "
y[1] (analytic) = 1.9064552035240103 " "
y[1] (numeric) = 1.9064552035240172 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 3.6105662173190840000000000000E-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 = 6.6001296177589810E-2 " "
Order of pole (three term test) = 22.99562468552613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.299999999999995 " "
y[1] (analytic) = 1.9205708091030969 " "
y[1] (numeric) = 1.9205708091031042 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 3.81525738483339200000000000000E-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 = 5.607626346753222000E-2 " "
Order of pole (three term test) = 22.99684550181673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3099999999999947 " "
y[1] (analytic) = 1.9346943575350826 " "
y[1] (numeric) = 1.9346943575350901 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.90217531676145760000000000000E-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 = 4.612880099976105500E-2 " "
Order of pole (three term test) = 22.997867586531125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3199999999999945 " "
y[1] (analytic) = 1.9488244364768936 " "
y[1] (numeric) = 1.9488244364769014 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 3.98782005547180600000000000000E-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 = 3.61628876266323300E-2 " "
Order of pole (three term test) = 22.998690530849046 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3299999999999943 " "
y[1] (analytic) = 1.9629596329324106 " "
y[1] (numeric) = 1.9629596329324188 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 4.1853384269308830000000000000E-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 = 2.61825095806188600E-2 " "
Order of pole (three term test) = 22.999314005603754 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.339999999999994 " "
y[1] (analytic) = 1.9770985333937676 " "
y[1] (numeric) = 1.977098533393776 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 4.2677159709726525000000000000E-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 = 1.619165887986819800E-2 " "
Order of pole (three term test) = 22.999737761413645 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.349999999999994 " "
y[1] (analytic) = 1.9912397239827007 " "
y[1] (numeric) = 1.9912397239827095 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 4.46042939482780950000000000000E-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 = 6.19433173145152000E-3 " "
Order of pole (three term test) = 22.999961628782057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3599999999999937 " "
y[1] (analytic) = 2.0053817905919358 " "
y[1] (numeric) = 2.0053817905919447 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 4.4289741926795817000000000000E-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 = 3.8054730670677780000E-3 " "
Order of pole (three term test) = 22.999985518165005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3699999999999934 " "
y[1] (analytic) = 2.0195233190265958 " "
y[1] (numeric) = 2.019523319026605 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 4.6178587387375940000000000000E-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 = 1.380375572709924600E-2 " "
Order of pole (three term test) = 22.999809420007097 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.3799999999999932 " "
y[1] (analytic) = 2.0336628951456226 " "
y[1] (numeric) = 2.0336628951456324 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 4.8041209976453786000000000000E-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 = 2.379651706888717400E-2 " "
Order of pole (three term test) = 22.9994334047452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.389999999999993 " "
y[1] (analytic) = 2.0477991050031874 " "
y[1] (numeric) = 2.0477991050031976 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 4.9878192648861140000000000000E-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 = 3.377976012113040000E-2 " "
Order of pole (three term test) = 22.99885762278045 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.399999999999993 " "
y[1] (analytic) = 2.061930534990084 " "
y[1] (numeric) = 2.0619305349900947 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 5.1690107186141250000000000000E-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 = 4.37494917197162100E-2 " "
Order of pole (three term test) = 22.998082304417917 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4099999999999926 " "
y[1] (analytic) = 2.0760557719750907 " "
y[1] (numeric) = 2.0760557719751014 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 5.1338413833948690000000000000E-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 = 5.37017241049328700E-2 " "
Order of pole (three term test) = 22.997107759774632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4199999999999924 " "
y[1] (analytic) = 2.0901734034462796 " "
y[1] (numeric) = 2.09017340344629 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 5.0991659442361830000000000000E-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 = 6.36324765165203900E-2 " "
Order of pole (three term test) = 22.99593437865546 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.429999999999992 " "
y[1] (analytic) = 2.1042820176522676 " "
y[1] (numeric) = 2.1042820176522787 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 5.2760182110182370000000000000E-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 = 7.35377767859237100E-2 " "
Order of pole (three term test) = 22.99456263039719 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.439999999999992 " "
y[1] (analytic) = 2.118380203743392 " "
y[1] (numeric) = 2.1183802037434036 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 5.4505416146252280000000000000E-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 = 8.34136629251034400E-2 " "
Order of pole (three term test) = 22.992993063680835 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4499999999999917 " "
y[1] (analytic) = 2.132466551912792 " "
y[1] (numeric) = 2.132466551912804 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 5.6227886224974870000000000000E-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 = 9.3256184711279300E-2 " "
Order of pole (three term test) = 22.991226306312164 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4599999999999915 " "
y[1] (analytic) = 2.1465396535373893 " "
y[1] (numeric) = 2.1465396535374013 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 5.5859246048364860000000000000E-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 = 0.10306140526697122 " "
Order of pole (three term test) = 22.98926306497057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4699999999999913 " "
y[1] (analytic) = 2.1605981013187483 " "
y[1] (numeric) = 2.1605981013187607 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 5.7551183943983850000000000000E-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 = 0.11282540263468933 " "
Order of pole (three term test) = 22.98710412492641 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.479999999999991 " "
y[1] (analytic) = 2.174640489423807 " "
y[1] (numeric) = 2.17464048942382 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 5.9221683530155040000000000000E-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 = 0.12254427134567225 " "
Order of pole (three term test) = 22.9847503497269 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.489999999999991 " "
y[1] (analytic) = 2.1886654136254564 " "
y[1] (numeric) = 2.1886654136254697 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 6.0871233275593630000000000000E-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 = 0.13221412398201887 " "
Order of pole (three term test) = 22.98220268085077 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.4999999999999907 " "
y[1] (analytic) = 2.2026714714429643 " "
y[1] (numeric) = 2.2026714714429776 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 6.0484173278796890000000000000E-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 = 0.1418310927316042 " "
Order of pole (three term test) = 22.97946213733157 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5099999999999905 " "
y[1] (analytic) = 2.21665726228222 " "
y[1] (numeric) = 2.216657262282234 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 6.2105972536223260000000000000E-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 = 0.15139133093515286 " "
Order of pole (three term test) = 22.976529815350187 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5199999999999902 " "
y[1] (analytic) = 2.2306213875757943 " "
y[1] (numeric) = 2.2306213875758085 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 6.3708053703574260000000000000E-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 = 0.16089101462485175 " "
Order of pole (three term test) = 22.973406887796315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.52999999999999 " "
y[1] (analytic) = 2.2445624509227957 " "
y[1] (numeric) = 2.2445624509228095 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 6.1333849275131910000000000000E-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 = 0.17032634405388575 " "
Order of pole (three term test) = 22.970094603799318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.53999999999999 " "
y[1] (analytic) = 2.2584790582285055 " "
y[1] (numeric) = 2.2584790582285197 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 6.292223371930951000000000000E-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 = 0.17969354521628503 " "
Order of pole (three term test) = 22.96659428822865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5499999999999896 " "
y[1] (analytic) = 2.272369817843791 " "
y[1] (numeric) = 2.2723698178438054 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 6.2537596669394310000000000000E-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 = 0.1889888713564806 " "
Order of pole (three term test) = 22.96290734116387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5599999999999894 " "
y[1] (analytic) = 2.2862333407042663 " "
y[1] (numeric) = 2.286233340704281 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 6.4100823236781510000000000000E-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 = 0.19820860446795135 " "
Order of pole (three term test) = 22.959035237334646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.569999999999989 " "
y[1] (analytic) = 2.300068240469198 " "
y[1] (numeric) = 2.300068240469213 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 6.5646022449412330000000000000E-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 = 0.20734905678038104 " "
Order of pole (three term test) = 22.954979525530863 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.579999999999989 " "
y[1] (analytic) = 2.313873133660139 " "
y[1] (numeric) = 2.313873133660154 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 6.5254369028513350000000000000E-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 = 0.2164065722347162 " "
Order of pole (three term test) = 22.95074182798318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5899999999999888 " "
y[1] (analytic) = 2.327646639799274 " "
y[1] (numeric) = 2.3276466397992897 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.6776125202975670000000000000E-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 = 0.2253775279455395 " "
Order of pole (three term test) = 22.946323839714122 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.5999999999999885 " "
y[1] (analytic) = 2.341387381547467 " "
y[1] (numeric) = 2.341387381547483 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 6.8280933264601450000000000000E-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 = 0.2342583356501782 " "
Order of pole (three term test) = 22.94172732786008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6099999999999883 " "
y[1] (analytic) = 2.3550939848419943 " "
y[1] (numeric) = 2.3550939848420103 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 6.7883539499910240000000000000E-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 = 0.24304544314395976 " "
Order of pole (three term test) = 22.936954130964512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.619999999999988 " "
y[1] (analytic) = 2.3687650790339476 " "
y[1] (numeric) = 2.368765079033964 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 6.9366527351684380000000000000E-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 = 0.2517353357010468 " "
Order of pole (three term test) = 22.932006158242547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.629999999999988 " "
y[1] (analytic) = 2.3823992970253007 " "
y[1] (numeric) = 2.3823992970253176 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 7.0833591981718780000000000000E-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 = 0.2603245374802794 " "
Order of pole (three term test) = 22.926885388817276 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6399999999999877 " "
y[1] (analytic) = 2.3959952754056166 " "
y[1] (numeric) = 2.3959952754056335 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 7.0431649626043410000000000000E-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 = 0.2688096129154675 " "
Order of pole (three term test) = 22.921593870928213 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6499999999999875 " "
y[1] (analytic) = 2.4095516545883866 " "
y[1] (numeric) = 2.409551654588404 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 7.1878430790939210000000000000E-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 = 0.27718716808957006 " "
Order of pole (three term test) = 22.916133721111958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6599999999999873 " "
y[1] (analytic) = 2.4230670789469895 " "
y[1] (numeric) = 2.4230670789470072 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.3310262635082100000000000000E-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 = 0.28545385209221597 " "
Order of pole (three term test) = 22.910507123355632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.669999999999987 " "
y[1] (analytic) = 2.4365401969502525 " "
y[1] (numeric) = 2.4365401969502707 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 7.4727507580800720000000000000E-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 = 0.2936063583600262 " "
Order of pole (three term test) = 22.90471632822332 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.679999999999987 " "
y[1] (analytic) = 2.4499696612976027 " "
y[1] (numeric) = 2.4499696612976214 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.6130521566638150000000000000E-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 = 0.30164142599919136 " "
Order of pole (three term test) = 22.89876365195586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6899999999999866 " "
y[1] (analytic) = 2.4633541290537972 " "
y[1] (numeric) = 2.463354129053816 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.5716871535912630000000000000E-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 = 0.30955584108978884 " "
Order of pole (three term test) = 22.892651475544397 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.6999999999999864 " "
y[1] (analytic) = 2.476692261783213 " "
y[1] (numeric) = 2.476692261783232 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 7.710217501872330000000000000E-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 = 0.31734643797130657 " "
Order of pole (three term test) = 22.886382243777998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.709999999999986 " "
y[1] (analytic) = 2.4899827256836926 " "
y[1] (numeric) = 2.489982725683712 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 7.8474139727365120000000000000E-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 = 0.32501010050886553 " "
Order of pole (three term test) = 22.87995846426579 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.719999999999986 " "
y[1] (analytic) = 2.503224191719922 " "
y[1] (numeric) = 2.5032241917199416 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 7.8059030022305800000000000000E-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 = 0.33254376333963076 " "
Order of pole (three term test) = 22.873382706433915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7299999999999858 " "
y[1] (analytic) = 2.516415335756331 " "
y[1] (numeric) = 2.516415335756351 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 7.9414610773091810000000000000E-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 = 0.3399444130989184 " "
Order of pole (three term test) = 22.866657600497838 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7399999999999856 " "
y[1] (analytic) = 2.5295548386895095 " "
y[1] (numeric) = 2.5295548386895295 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 7.9002100043840010000000000E-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 = 0.34720908962549735 " "
Order of pole (three term test) = 22.859785836410264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7499999999999853 " "
y[1] (analytic) = 2.5426413865801125 " "
y[1] (numeric) = 2.5426413865801334 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.2088622379526070000000000000E-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 = 0.35433488714561967 " "
Order of pole (three term test) = 22.85277016278521 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.759999999999985 " "
y[1] (analytic) = 2.555673670784258 " "
y[1] (numeric) = 2.555673670784279 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.1670023452360050000000000000E-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 = 0.36131895543528575 " "
Order of pole (three term test) = 22.845613385798572 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.769999999999985 " "
y[1] (analytic) = 2.568650388084384 " "
y[1] (numeric) = 2.568650388084406 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 8.4715192786049980000000000000E-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 = 0.3681585009602995 " "
Order of pole (three term test) = 22.83831836806574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7799999999999847 " "
y[1] (analytic) = 2.581570240819576 " "
y[1] (numeric) = 2.5815702408195977 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 8.4291222987389110000000000000E-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 = 0.3748507879936435 " "
Order of pole (three term test) = 22.830888027496535 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7899999999999845 " "
y[1] (analytic) = 2.5944319370153264 " "
y[1] (numeric) = 2.594431937015348 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 8.387335575157360000000000000E-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 = 0.3813931397097344 " "
Order of pole (three term test) = 22.823325336128107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.7999999999999843 " "
y[1] (analytic) = 2.607234190512733 " "
y[1] (numeric) = 2.6072341905127554 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 8.516481017816220000000000000E-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 = 0.3877829392551149 " "
Order of pole (three term test) = 22.81563331893618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.809999999999984 " "
y[1] (analytic) = 2.6199757210971155 " "
y[1] (numeric) = 2.619975721097138 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 8.6445647262979630000000000000E-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 = 0.3940176307951639 " "
Order of pole (three term test) = 22.80781505262506 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.819999999999984 " "
y[1] (analytic) = 2.6326552546260333 " "
y[1] (numeric) = 2.632655254626056 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 8.6029303162864750000000000000E-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 = 0.40009472053639333 " "
Order of pole (three term test) = 22.79987366439703 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8299999999999836 " "
y[1] (analytic) = 2.6452715231566986 " "
y[1] (numeric) = 2.645271523156722 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 8.8976605675496360000000000000E-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 = 0.4060117777239331 " "
Order of pole (three term test) = 22.791812330701518 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8399999999999834 " "
y[1] (analytic) = 2.6578232650727736 " "
y[1] (numeric) = 2.657823265072797 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 8.8556407912280290000000000000E-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 = 0.4117664356138019 " "
Order of pole (three term test) = 22.783634275964502 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.849999999999983 " "
y[1] (analytic) = 2.670309225210525 " "
y[1] (numeric) = 2.670309225210549 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 8.9805394467049990000000000000E-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 = 0.4173563924195706 " "
Order of pole (three term test) = 22.775342771298828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.859999999999983 " "
y[1] (analytic) = 2.682728154984345 " "
y[1] (numeric) = 2.682728154984369 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 8.9389665842021640000000000000E-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 = 0.4227794122330493 " "
Order of pole (three term test) = 22.766941133195832 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.869999999999983 " "
y[1] (analytic) = 2.6950788125116043 " "
y[1] (numeric) = 2.6950788125116287 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 9.0627800672705840000000000000E-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 = 0.4280333259186188 " "
Order of pole (three term test) = 22.75843272219873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8799999999999826 " "
y[1] (analytic) = 2.707359962736843 " "
y[1] (numeric) = 2.707359962736868 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 9.1856997569187980000000000000E-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 = 0.4331160319808554 " "
Order of pole (three term test) = 22.749820941558465 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.8899999999999824 " "
y[1] (analytic) = 2.7195703775552724 " "
y[1] (numeric) = 2.7195703775552977 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.3077513898384510000000000000E-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 = 0.4380254974051033 " "
Order of pole (three term test) = 22.74110923587248 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.899999999999982 " "
y[1] (analytic) = 2.7317088359355863 " "
y[1] (numeric) = 2.731708835935612 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 9.428960302235881000000000000E-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 = 0.4427597584706512 " "
Order of pole (three term test) = 22.73230108970689 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.909999999999982 " "
y[1] (analytic) = 2.7437741240420626 " "
y[1] (numeric) = 2.7437741240420883 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 9.3874980252961860000000000000E-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 = 0.4473169215361955 " "
Order of pole (three term test) = 22.723400026202725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9199999999999817 " "
y[1] (analytic) = 2.7557650353559437 " "
y[1] (numeric) = 2.75576503535597 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 9.5078002097408320000000000000E-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 = 0.45169516379727137 " "
Order of pole (three term test) = 22.71440960566671 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9299999999999815 " "
y[1] (analytic) = 2.7676803707960915 " "
y[1] (numeric) = 2.767680370796118 " "
absolute error = 2.664535259100375700000000000000E-14 " "
relative error = 9.627322891819161000000000000E-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 = 0.4558927340153507 " "
Order of pole (three term test) = 22.70533342414719 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9399999999999813 " "
y[1] (analytic) = 2.779518938838892 " "
y[1] (numeric) = 2.779518938838918 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 9.4265460886188220000000000000E-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 = 0.45990795321831224 " "
Order of pole (three term test) = 22.69617511199574 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.949999999999981 " "
y[1] (analytic) = 2.7912795556374044 " "
y[1] (numeric) = 2.7912795556374315 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 9.7050264084593960000000000000E-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 = 0.46373921537201085 " "
Order of pole (three term test) = 22.68693833241514 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.959999999999981 " "
y[1] (analytic) = 2.8029610451397513 " "
y[1] (numeric) = 2.8029610451397784 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 9.6645801938011530000000000000E-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 = 0.46738498802266776 " "
Order of pole (three term test) = 22.677626779994043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9699999999999807 " "
y[1] (analytic) = 2.8145622392067158 " "
y[1] (numeric) = 2.8145622392067433 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 9.7825269689059020000000000000E-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 = 0.47084381290983224 " "
Order of pole (three term test) = 22.66824417922927 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9799999999999804 " "
y[1] (analytic) = 2.8260819777285593 " "
y[1] (numeric) = 2.8260819777285873 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 9.8997907495382480000000000000E-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 = 0.4741143065496667 " "
Order of pole (three term test) = 22.65879428303603 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.9899999999999802 " "
y[1] (analytic) = 2.837519108741029 " "
y[1] (numeric) = 2.8375191087410574 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 1.001639401928621900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.477195160788321 " "
Order of pole (three term test) = 22.64928087124682 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 2.99999999999998 " "
y[1] (analytic) = 2.8488724885405556 " "
y[1] (numeric) = 2.848872488540584 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 9.9764764989408570000000000000E-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 = 0.4800851433251775 " "
Order of pole (three term test) = 22.639707749099482 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.00999999999998 " "
y[1] (analytic) = 2.860140981798619 " "
y[1] (numeric) = 2.8601409817986476 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 9.9371707937735370000000000000E-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 = 0.4827830982057536 " "
Order of pole (three term test) = 22.630078745715256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0199999999999796 " "
y[1] (analytic) = 2.8713234616752845 " "
y[1] (numeric) = 2.8713234616753134 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 1.0053133694457471000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48528794628406985 " "
Order of pole (three term test) = 22.620397712567105 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0299999999999794 " "
y[1] (analytic) = 2.882418809931883 " "
y[1] (numeric) = 2.882418809931912 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.0168504226072818000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48759868565429176 " "
Order of pole (three term test) = 22.610668521939196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.039999999999979 " "
y[1] (analytic) = 2.8934259170428347 " "
y[1] (numeric) = 2.893425917042864 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.0129821426380148000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48971439205148115 " "
Order of pole (three term test) = 22.60089506537808 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.049999999999979 " "
y[1] (analytic) = 2.9043436823066013 " "
y[1] (numeric) = 2.9043436823066306 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.0091742250981298000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49163421922128847 " "
Order of pole (three term test) = 22.591081252136068 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0599999999999787 " "
y[1] (analytic) = 2.9151710139557543 " "
y[1] (numeric) = 2.915171013955784 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.0206597457752369000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4933573992584426 " "
Order of pole (three term test) = 22.5812310076076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0699999999999785 " "
y[1] (analytic) = 2.925906829266152 " "
y[1] (numeric) = 2.925906829266182 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.0169147138364895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4948832429139043 " "
Order of pole (three term test) = 22.57134827175915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.0799999999999783 " "
y[1] (analytic) = 2.9365500546652092 " "
y[1] (numeric) = 2.9365500546652394 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.028351831491157000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4962111398705557 " "
Order of pole (three term test) = 22.561436997553294 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.089999999999978 " "
y[1] (analytic) = 2.947099625839256 " "
y[1] (numeric) = 2.9470996258392863 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.0246706967432310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4973405589873193 " "
Order of pole (three term test) = 22.55150114936757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.099999999999978 " "
y[1] (analytic) = 2.9575544878399658 " "
y[1] (numeric) = 2.9575544878399964 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0360639374740194000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.498271048511607 " "
Order of pole (three term test) = 22.54154470140877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1099999999999777 " "
y[1] (analytic) = 2.967913595189851 " "
y[1] (numeric) = 2.9679135951898816 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0324476942090428000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4990022362600153 " "
Order of pole (three term test) = 22.531571636123328 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1199999999999775 " "
y[1] (analytic) = 2.978175911986809 " "
y[1] (numeric) = 2.97817591198684 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0438014948810072000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49953382976719424 " "
Order of pole (three term test) = 22.521585942604393 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1299999999999772 " "
y[1] (analytic) = 2.988340412007713 " "
y[1] (numeric) = 2.9883404120077435 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0253903924910424000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4998656164028283 " "
Order of pole (three term test) = 22.51159161499621 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.139999999999977 " "
y[1] (analytic) = 2.99840607881103 " "
y[1] (numeric) = 2.9984060788110605 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0219481509257405000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999974634566877 " "
Order of pole (three term test) = 22.501592650896598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.149999999999977 " "
y[1] (analytic) = 3.0083719058384677 " "
y[1] (numeric) = 3.008371905838499 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0333245244437386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.499929318191708 " "
Order of pole (three term test) = 22.49159304975785 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1599999999999766 " "
y[1] (analytic) = 3.018236896515629 " "
y[1] (numeric) = 3.0182368965156603 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0299471431613455000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49966120786508705 " "
Order of pole (three term test) = 22.48159681128711 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1699999999999764 " "
y[1] (analytic) = 3.0280000643516667 " "
y[1] (numeric) = 3.028000064351698 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0412923787736277000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49919323971738067 " "
Order of pole (three term test) = 22.471607933846478 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.179999999999976 " "
y[1] (analytic) = 3.0376604330379333 " "
y[1] (numeric) = 3.037660433037965 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0379808604157008000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49852560092960857 " "
Order of pole (three term test) = 22.46163041285376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.189999999999976 " "
y[1] (analytic) = 3.04721703654561 " "
y[1] (numeric) = 3.047217036545642 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 1.0492991712021732000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4976585585483841 " "
Order of pole (three term test) = 22.45166823918431 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.1999999999999758 " "
y[1] (analytic) = 3.05666891922231 " "
y[1] (numeric) = 3.0566689192223424 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.060583045654241900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49659245937909924 " "
Order of pole (three term test) = 22.44172539757478 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2099999999999755 " "
y[1] (analytic) = 3.0660151358876426 " "
y[1] (numeric) = 3.066015135887675 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.0573500417397345000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4953277298472071 " "
Order of pole (three term test) = 22.431805865029226 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2199999999999753 " "
y[1] (analytic) = 3.0752547519277296 " "
y[1] (numeric) = 3.075254751927762 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.0541732290221796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49386487582765776 " "
Order of pole (three term test) = 22.42191360922842 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.229999999999975 " "
y[1] (analytic) = 3.084386843388666 " "
y[1] (numeric) = 3.0843868433886987 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0654500617957535000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4922044824425548 " "
Order of pole (three term test) = 22.412052586942785 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.239999999999975 " "
y[1] (analytic) = 3.0934104970689167 " "
y[1] (numeric) = 3.093410497068949 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.0479861094986234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4903472138271135 " "
Order of pole (three term test) = 22.40222674244975 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2499999999999747 " "
y[1] (analytic) = 3.1023248106106323 " "
y[1] (numeric) = 3.102324810610665 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0592895178643874000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48829381286401713 " "
Order of pole (three term test) = 22.392440005956118 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2599999999999745 " "
y[1] (analytic) = 3.111128892589888 " "
y[1] (numeric) = 3.111128892589921 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0562918690761107000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4860451008862725 " "
Order of pole (three term test) = 22.38269629202598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2699999999999743 " "
y[1] (analytic) = 3.1198218626058227 " "
y[1] (numeric) = 3.1198218626058556 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0533486518187367000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4836019773486885 " "
Order of pole (three term test) = 22.372999498015012 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.279999999999974 " "
y[1] (analytic) = 3.128402851368678 " "
y[1] (numeric) = 3.1284028513687114 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.0646547877995637000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48096541946810534 " "
Order of pole (three term test) = 22.363353502511522 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.289999999999974 " "
y[1] (analytic) = 3.136871000786729 " "
y[1] (numeric) = 3.136871000786763 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.075937771752170900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47813648183252155 " "
Order of pole (three term test) = 22.35376216378509 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.2999999999999736 " "
y[1] (analytic) = 3.1452254640520914 " "
y[1] (numeric) = 3.145225464052125 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.0730798263703037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47511629597927296 " "
Order of pole (three term test) = 22.34422931824334 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3099999999999734 " "
y[1] (analytic) = 3.1534654057253992 " "
y[1] (numeric) = 3.1534654057254334 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.0843584678738181000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47190606994243195 " "
Order of pole (three term test) = 22.33475877889737 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.319999999999973 " "
y[1] (analytic) = 3.161590001819353 " "
y[1] (numeric) = 3.161590001819387 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.0815719033390543000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4685070877696113 " "
Order of pole (three term test) = 22.325354333836657 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.329999999999973 " "
y[1] (analytic) = 3.1695984398811134 " "
y[1] (numeric) = 3.1695984398811476 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.078839159188172000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46492070900836074 " "
Order of pole (three term test) = 22.316019744713834 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3399999999999728 " "
y[1] (analytic) = 3.177489919073547 " "
y[1] (numeric) = 3.177489919073582 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.1041120026081475000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4611483681623668 " "
Order of pole (three term test) = 22.306758745240085 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3499999999999726 " "
y[1] (analytic) = 3.185263650255312 " "
y[1] (numeric) = 3.1852636502553473 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.1014173842514698000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45719157411767075 " "
Order of pole (three term test) = 22.297575039691722 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3599999999999723 " "
y[1] (analytic) = 3.1929188560597686 " "
y[1] (numeric) = 3.1929188560598036 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.0987766729984892000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4530519095391342 " "
Order of pole (three term test) = 22.288472301428534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.369999999999972 " "
y[1] (analytic) = 3.2004547709727142 " "
y[1] (numeric) = 3.2004547709727498 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.110065266668563000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4487310302373935 " "
Order of pole (three term test) = 22.279454171424423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.379999999999972 " "
y[1] (analytic) = 3.207870641408938 " "
y[1] (numeric) = 3.207870641408974 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.1213427852581999000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4442306645065587 " "
Order of pole (three term test) = 22.270524256811182 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3899999999999717 " "
y[1] (analytic) = 3.2151657257875774 " "
y[1] (numeric) = 3.215165725787613 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.1049861754576394000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43955261243291754 " "
Order of pole (three term test) = 22.261686129435578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.3999999999999715 " "
y[1] (analytic) = 3.222339294606272 " "
y[1] (numeric) = 3.2223392946063076 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.102526256234788000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4346987451749266 " "
Order of pole (three term test) = 22.252943324430724 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4099999999999713 " "
y[1] (analytic) = 3.2293906305141187 " "
y[1] (numeric) = 3.2293906305141546 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.113870389601286900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4296710042147718 " "
Order of pole (three term test) = 22.244299338802044 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.419999999999971 " "
y[1] (analytic) = 3.236319028383403 " "
y[1] (numeric) = 3.236319028383439 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.111485786239786000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4244714005818014 " "
Order of pole (three term test) = 22.235757630028555 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.429999999999971 " "
y[1] (analytic) = 3.2431237953801113 " "
y[1] (numeric) = 3.2431237953801477 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.1228469064171838000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4191020140481414 " "
Order of pole (three term test) = 22.22732161467987 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4399999999999706 " "
y[1] (analytic) = 3.2498042510332144 " "
y[1] (numeric) = 3.249804251033251 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.134203834148978000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41356499229681476 " "
Order of pole (three term test) = 22.218994667049653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4499999999999704 " "
y[1] (analytic) = 3.2563597273027147 " "
y[1] (numeric) = 3.2563597273027516 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1319205341016278000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4078625500626957 " "
Order of pole (three term test) = 22.210780117805925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.45999999999997 " "
y[1] (analytic) = 3.2627895686464474 " "
y[1] (numeric) = 3.2627895686464843 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1296899062002992000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4019969682466463 " "
Order of pole (three term test) = 22.20268125265886 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.46999999999997 " "
y[1] (analytic) = 3.2690931320856365 " "
y[1] (numeric) = 3.2690931320856738 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1410960813957033000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39597059300318627 " "
Order of pole (three term test) = 22.194701311046533 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.47999999999997 " "
y[1] (analytic) = 3.2752697872691914 " "
y[1] (numeric) = 3.2752697872692287 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1389441496514902000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38978583480206275 " "
Order of pole (three term test) = 22.186843484839198 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4899999999999696 " "
y[1] (analytic) = 3.2813189165367405 " "
y[1] (numeric) = 3.2813189165367778 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.136844499917647000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38344516746409335 " "
Order of pole (three term test) = 22.17911091706256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.4999999999999694 " "
y[1] (analytic) = 3.287239914980398 " "
y[1] (numeric) = 3.2872399149804354 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1347968080275547000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3769511271716724 " "
Order of pole (three term test) = 22.171506700640627 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.509999999999969 " "
y[1] (analytic) = 3.293032190505254 " "
y[1] (numeric) = 3.2930321905052917 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1462864816837294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3703063114543307 " "
Order of pole (three term test) = 22.164033877158595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.519999999999969 " "
y[1] (analytic) = 3.298695163888583 " "
y[1] (numeric) = 3.2986951638886204 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1308560438009975000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36351337814975915 " "
Order of pole (three term test) = 22.156695435646203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5299999999999687 " "
y[1] (analytic) = 3.304228268837765 " "
y[1] (numeric) = 3.304228268837803 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1424023937224145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3565750443407084 " "
Order of pole (three term test) = 22.149494311382227 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5399999999999685 " "
y[1] (analytic) = 3.309630952046917 " "
y[1] (numeric) = 3.3096309520469545 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1271194331904001000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3494940852681914 " "
Order of pole (three term test) = 22.14243338472034 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5499999999999683 " "
y[1] (analytic) = 3.3149026732522193 " "
y[1] (numeric) = 3.314902673252257 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1387237140275232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34227333322142633 " "
Order of pole (three term test) = 22.135515479937084 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.559999999999968 " "
y[1] (analytic) = 3.3200429052859453 " "
y[1] (numeric) = 3.320042905285983 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1369606934041787000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33491567640495606 " "
Order of pole (three term test) = 22.12874336410212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.569999999999968 " "
y[1] (analytic) = 3.3250511341291746 " "
y[1] (numeric) = 3.3250511341292124 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1352481906159122000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3274240577834069 " "
Order of pole (three term test) = 22.122119745971492 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5799999999999677 " "
y[1] (analytic) = 3.3299268589631965 " "
y[1] (numeric) = 3.3299268589632347 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1469222497876940000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3198014739043401 " "
Order of pole (three term test) = 22.11564727490414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5899999999999674 " "
y[1] (analytic) = 3.334669592219591 " "
y[1] (numeric) = 3.334669592219629 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1452910398143706000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3120509736996746 " "
Order of pole (three term test) = 22.109328539802192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.5999999999999672 " "
y[1] (analytic) = 3.3392788596289846 " "
y[1] (numeric) = 3.339278859629023 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.14371017373939000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3041756572661535 " "
Order of pole (three term test) = 22.103166068075442 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.609999999999967 " "
y[1] (analytic) = 3.343754200268477 " "
y[1] (numeric) = 3.3437542002685157 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1554605674619654000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29617867462534675 " "
Order of pole (three term test) = 22.097162324630414 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.619999999999967 " "
y[1] (analytic) = 3.3480951666077337 " "
y[1] (numeric) = 3.3480951666077727 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1672263935795152000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28806322446368665 " "
Order of pole (three term test) = 22.091319710884427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6299999999999666 " "
y[1] (analytic) = 3.352301324553739 " "
y[1] (numeric) = 3.3523013245537783 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1657618657537548000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27983255285303255 " "
Order of pole (three term test) = 22.0856405638051 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6399999999999664 " "
y[1] (analytic) = 3.356372253494203 " "
y[1] (numeric) = 3.3563722534942424 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.1775791447301047000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2714899519522888 " "
Order of pole (three term test) = 22.08012715497553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.649999999999966 " "
y[1] (analytic) = 3.3603075463396244 " "
y[1] (numeric) = 3.3603075463396634 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1629843378286939000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2630387586905814 " "
Order of pole (three term test) = 22.074781689685732 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.659999999999966 " "
y[1] (analytic) = 3.3641068095639968 " "
y[1] (numeric) = 3.3641068095640363 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.1748717241762623000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2544823534325349 " "
Order of pole (three term test) = 22.06960630605057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6699999999999657 " "
y[1] (analytic) = 3.3677696632441654 " "
y[1] (numeric) = 3.3677696632442045 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1604074617490310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24582415862616733 " "
Order of pole (three term test) = 22.064603074154466 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6799999999999655 " "
y[1] (analytic) = 3.3712957410978133 " "
y[1] (numeric) = 3.371295741097853 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.1723664345088033000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23706763743396198 " "
Order of pole (three term test) = 22.059773995223505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.6899999999999653 " "
y[1] (analytic) = 3.3746846905200947 " "
y[1] (numeric) = 3.3746846905201338 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.158029684272004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22821629234764232 " "
Order of pole (three term test) = 22.05512100082484 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.699999999999965 " "
y[1] (analytic) = 3.3779361726188903 " "
y[1] (numeric) = 3.3779361726189294 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1569150057831666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2192736637872265 " "
Order of pole (three term test) = 22.0506459520942 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.709999999999965 " "
y[1] (analytic) = 3.3810498622487 " "
y[1] (numeric) = 3.3810498622487395 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.1689842293650358000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2102433286849065 " "
Order of pole (three term test) = 22.046350638991427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7199999999999647 " "
y[1] (analytic) = 3.384025448043157 " "
y[1] (numeric) = 3.3840254480431957 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1417101274843228000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2011288990543189 " "
Order of pole (three term test) = 22.04223677958447 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7299999999999645 " "
y[1] (analytic) = 3.3868626324461593 " "
y[1] (numeric) = 3.3868626324461983 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.153865825334053000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19193402054579284 " "
Order of pole (three term test) = 22.038306019362256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7399999999999642 " "
y[1] (analytic) = 3.3895611317416328 " "
y[1] (numeric) = 3.3895611317416714 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1398455362008332000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18266237098813443 " "
Order of pole (three term test) = 22.03455993057646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.749999999999964 " "
y[1] (analytic) = 3.3921206760818956 " "
y[1] (numeric) = 3.3921206760819342 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1389854591370874000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17331765891754658 " "
Order of pole (three term test) = 22.03100001161264 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.759999999999964 " "
y[1] (analytic) = 3.394541009514647 " "
y[1] (numeric) = 3.3945410095146857 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1381733538838468000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1639036220942633 " "
Order of pole (three term test) = 22.027627686390932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7699999999999636 " "
y[1] (analytic) = 3.3968218900085603 " "
y[1] (numeric) = 3.3968218900085994 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1504827668991213000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15442402600749436 " "
Order of pole (three term test) = 22.024444303796457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.7799999999999634 " "
y[1] (analytic) = 3.3989630894774874 " "
y[1] (numeric) = 3.3989630894775265 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1497580126065193000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14488266236928252 " "
Order of pole (three term test) = 22.021451137139803 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.789999999999963 " "
y[1] (analytic) = 3.400964393803265 " "
y[1] (numeric) = 3.4009643938033043 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1490814351955886000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13528334759786537 " "
Order of pole (three term test) = 22.018649383647727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.799999999999963 " "
y[1] (analytic) = 3.4028256028571295 " "
y[1] (numeric) = 3.402825602857168 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1354023322416386000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12562992129116352 " "
Order of pole (three term test) = 22.01604016398427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8099999999999627 " "
y[1] (analytic) = 3.404546530519725 " "
y[1] (numeric) = 3.404546530519764 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.147872414621977000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11592624469098835 " "
Order of pole (three term test) = 22.013624521802505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8199999999999625 " "
y[1] (analytic) = 3.4061270046997203 " "
y[1] (numeric) = 3.4061270046997594 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1473397912903352000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1061761991385995 " "
Order of pole (three term test) = 22.0114034233271 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8299999999999623 " "
y[1] (analytic) = 3.407566867351014 " "
y[1] (numeric) = 3.4075668673510533 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1468549844536297000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.63836845222189500E-2 " "
Order of pole (three term test) = 22.00937775696783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.839999999999962 " "
y[1] (analytic) = 3.408865974488542 " "
y[1] (numeric) = 3.4088659744885805 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1333904455645917000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.6552617717127800E-2 " "
Order of pole (three term test) = 22.007548332964223 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.849999999999962 " "
y[1] (analytic) = 3.410024196202671 " "
y[1] (numeric) = 3.41002419620271 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1460285387512495000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.66869310189699500E-2 " "
Order of pole (three term test) = 22.005915883061505 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8599999999999617 " "
y[1] (analytic) = 3.4110414166721967 " "
y[1] (numeric) = 3.4110414166722354 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1326676090215403000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.67905705708826100E-2 " "
Order of pole (three term test) = 22.00448106021786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8699999999999615 " "
y[1] (analytic) = 3.411917534175919 " "
y[1] (numeric) = 3.4119175341759576 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1323767608670282000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.68674947850971000E-2 " "
Order of pole (three term test) = 22.003244438343295 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.8799999999999613 " "
y[1] (analytic) = 3.4126524611028173 " "
y[1] (numeric) = 3.4126524611028564 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.145145921310037000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.69216727596198600E-2 " "
Order of pole (three term test) = 22.002206512070078 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.889999999999961 " "
y[1] (analytic) = 3.4132461239608127 " "
y[1] (numeric) = 3.4132461239608514 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1319359886102084000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.69570826906526500E-2 " "
Order of pole (three term test) = 22.00136769655487 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.899999999999961 " "
y[1] (analytic) = 3.4136984633841125 " "
y[1] (numeric) = 3.413698463384151 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1317859990086686000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.697771028136382600E-2 " "
Order of pole (three term test) = 22.0007283273127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9099999999999606 " "
y[1] (analytic) = 3.4140094341391523 " "
y[1] (numeric) = 3.414009434139191 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.131682908389429000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.698754714766073400E-2 " "
Order of pole (three term test) = 22.00028866008274 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9199999999999604 " "
y[1] (analytic) = 3.414179005129115 " "
y[1] (numeric) = 3.414179005129154 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1316267014387064000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.990589221596032000E-3 " "
Order of pole (three term test) = 22.00004887072601 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.92999999999996 " "
y[1] (analytic) = 3.414207159397044 " "
y[1] (numeric) = 3.4142071593970824 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1316173698077128000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.009164846950696000E-3 " "
Order of pole (three term test) = 22.000009055155072 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.93999999999996 " "
y[1] (analytic) = 3.414093894127535 " "
y[1] (numeric) = 3.4140938941275736 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1316549121103989000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.300771528968030500E-2 " "
Order of pole (three term test) = 22.000169229295615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9499999999999598 " "
y[1] (analytic) = 3.413839220647021 " "
y[1] (numeric) = 3.4138392206470596 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1317393339230795000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.30010628197280400E-2 " "
Order of pole (three term test) = 22.000529329080116 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9599999999999596 " "
y[1] (analytic) = 3.4134431644226377 " "
y[1] (numeric) = 3.4134431644226764 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1318706477859415000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.29852102313249200E-2 " "
Order of pole (three term test) = 22.001089210473467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9699999999999593 " "
y[1] (analytic) = 3.4129057650596777 " "
y[1] (numeric) = 3.4129057650597163 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.132048873206432100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.29561639986253130E-2 " "
Order of pole (three term test) = 22.001848649530558 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.979999999999959 " "
y[1] (analytic) = 3.412227076297629 " "
y[1] (numeric) = 3.412227076297668 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1452886807641287000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.29099358730683800E-2 " "
Order of pole (three term test) = 22.002807342485927 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.989999999999959 " "
y[1] (analytic) = 3.4114071660048024 " "
y[1] (numeric) = 3.4114071660048415 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1455639437075187000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.28425444786178100E-2 " "
Order of pole (three term test) = 22.003964905875147 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 3.9999999999999587 " "
y[1] (analytic) = 3.4104461161715443 " "
y[1] (numeric) = 3.4104461161715833 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1458867589638179000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.275001690426599E-2 " "
Order of pole (three term test) = 22.0053208766883 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.009999999999959 " "
y[1] (analytic) = 3.409344022902037 " "
y[1] (numeric) = 3.4093440229020757 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1332315248159863000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.26283902931399600E-2 " "
Order of pole (three term test) = 22.006874712555152 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.019999999999959 " "
y[1] (analytic) = 3.4081009964046887 " "
y[1] (numeric) = 3.4081009964047273 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1336448449653783000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.24737134275932400E-2 " "
Order of pole (three term test) = 22.00862579196206 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.0299999999999585 " "
y[1] (analytic) = 3.4067171609811133 " "
y[1] (numeric) = 3.4067171609811524 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1471410340255765000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10228204830964213 " "
Order of pole (three term test) = 22.010573414500616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.039999999999958 " "
y[1] (analytic) = 3.4051926550137006 " "
y[1] (numeric) = 3.4051926550137397 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.147654609476076000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11204947173610912 " "
Order of pole (three term test) = 22.012716801147775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.049999999999958 " "
y[1] (analytic) = 3.403527630951777 " "
y[1] (numeric) = 3.4035276309518157 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1351681386571020000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12177207686785514 " "
Order of pole (three term test) = 22.01505509457745 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.059999999999958 " "
y[1] (analytic) = 3.4017222552963595 " "
y[1] (numeric) = 3.4017222552963986 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1488254341153100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13144597479245995 " "
Order of pole (three term test) = 22.01758735950344 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.069999999999958 " "
y[1] (analytic) = 3.399776708583511 " "
y[1] (numeric) = 3.39977670858355 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.149482857745907900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1410672960797373 " "
Order of pole (three term test) = 22.02031258305355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.079999999999957 " "
y[1] (analytic) = 3.3976911853662815 " "
y[1] (numeric) = 3.39769118536632 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1371180942917389000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1506321923294548 " "
Order of pole (three term test) = 22.023229675174704 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.089999999999957 " "
y[1] (analytic) = 3.395465894195253 " "
y[1] (numeric) = 3.395465894195292 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1509422177856297000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1601368377106436 " "
Order of pole (three term test) = 22.026337469068928 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.099999999999957 " "
y[1] (analytic) = 3.39310105759769 " "
y[1] (numeric) = 3.393101057597729 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1517443719897333000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16957743049187682 " "
Order of pole (three term test) = 22.029634721660102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.109999999999957 " "
y[1] (analytic) = 3.3905969120552806 " "
y[1] (numeric) = 3.3905969120553197 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1525949996549854000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17895019456191608 " "
Order of pole (three term test) = 22.03312011409116 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.119999999999957 " "
y[1] (analytic) = 3.387953707980493 " "
y[1] (numeric) = 3.3879537079805315 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1403863389852993000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18825138094010122 " "
Order of pole (three term test) = 22.0367922522516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.129999999999956 " "
y[1] (analytic) = 3.385171709691531 " "
y[1] (numeric) = 3.3851717096915697 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1413235300987455000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19747726927589546 " "
Order of pole (three term test) = 22.04064966733512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.139999999999956 " "
y[1] (analytic) = 3.382251195385906 " "
y[1] (numeric) = 3.382251195385945 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1554390318530615000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20662416933697406 " "
Order of pole (three term test) = 22.044690816427117 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.149999999999956 " "
y[1] (analytic) = 3.379192457112615 " "
y[1] (numeric) = 3.3791924571126533 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1302011510684610000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21568842248527037 " "
Order of pole (three term test) = 22.048914083121833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.159999999999956 " "
y[1] (analytic) = 3.3759958007429356 " "
y[1] (numeric) = 3.375995800742974 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1312713137469178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2246664031403799 " "
Order of pole (three term test) = 22.053317778168907 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.1699999999999555 " "
y[1] (analytic) = 3.372661545939841 " "
y[1] (numeric) = 3.3726615459398794 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.145557024643249000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23355452022974482 " "
Order of pole (three term test) = 22.057900140149027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.179999999999955 " "
y[1] (analytic) = 3.3691900261260335 " "
y[1] (numeric) = 3.3691900261260717 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1335564854149524000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24234921862503708 " "
Order of pole (three term test) = 22.062659336178502 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.189999999999955 " "
y[1] (analytic) = 3.3655815884506013 " "
y[1] (numeric) = 3.3655815884506395 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.134771837894666000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25104698056415914 " "
Order of pole (three term test) = 22.067593462642368 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.199999999999955 " "
y[1] (analytic) = 3.3618365937543047 " "
y[1] (numeric) = 3.361836593754343 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1360359429146179000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25964432705830426 " "
Order of pole (three term test) = 22.07270054595584 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.209999999999955 " "
y[1] (analytic) = 3.357955416533493 " "
y[1] (numeric) = 3.357955416533531 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1241240027011185000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26813781928350355 " "
Order of pole (three term test) = 22.077978543353673 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.2199999999999545 " "
y[1] (analytic) = 3.3539384449026537 " "
y[1] (numeric) = 3.3539384449026914 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1254703524635176000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2765240599561133 " "
Order of pole (three term test) = 22.08342534370729 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.229999999999954 " "
y[1] (analytic) = 3.3497860805556026 " "
y[1] (numeric) = 3.34978608055564 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1136082343866575000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28479969469167854 " "
Order of pole (three term test) = 22.089038768369168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.239999999999954 " "
y[1] (analytic) = 3.345498738725313 " "
y[1] (numeric) = 3.3454987387253508 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1283095820755781000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2929614133466463 " "
Order of pole (three term test) = 22.094816572044298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.249999999999954 " "
y[1] (analytic) = 3.3410768481423974 " "
y[1] (numeric) = 3.341076848142434 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1032192940443328000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30100595134237523 " "
Order of pole (three term test) = 22.100756443688226 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.259999999999954 " "
y[1] (analytic) = 3.336520850992227 " "
y[1] (numeric) = 3.336520850992264 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1047257326922987000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3089300909709262 " "
Order of pole (three term test) = 22.106856007431507 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.269999999999953 " "
y[1] (analytic) = 3.3318312028707213 " "
y[1] (numeric) = 3.331831202870758 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.106280665893186900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31673066268210154 " "
Order of pole (three term test) = 22.113112823529963 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.279999999999953 " "
y[1] (analytic) = 3.327008372738784 " "
y[1] (numeric) = 3.327008372738821 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1078843299457236000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3244045463512237 " "
Order of pole (three term test) = 22.11952438934058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.289999999999953 " "
y[1] (analytic) = 3.3220528428754097 " "
y[1] (numeric) = 3.3220528428754466 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.109536968883718000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33194867252714166 " "
Order of pole (three term test) = 22.126088140322516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.299999999999953 " "
y[1] (analytic) = 3.316965108829455 " "
y[1] (numeric) = 3.3169651088294914 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.097850414849735000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33936002365997175 " "
Order of pole (three term test) = 22.13280145106291 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3099999999999525 " "
y[1] (analytic) = 3.3117456793700843 " "
y[1] (numeric) = 3.3117456793701208 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.0995806663098467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3466356353080779 " "
Order of pole (three term test) = 22.139661636326956 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.319999999999952 " "
y[1] (analytic) = 3.3063950764358943 " "
y[1] (numeric) = 3.3063950764359307 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.1013600724012320000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3537725973238078 " "
Order of pole (three term test) = 22.14666595213203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.329999999999952 " "
y[1] (analytic) = 3.3009138350827194 " "
y[1] (numeric) = 3.3009138350827563 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1166424287058531000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3607680550175134 " "
Order of pole (three term test) = 22.153811596845188 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.339999999999952 " "
y[1] (analytic) = 3.295302503430128 " "
y[1] (numeric) = 3.2953025034301646 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.1050674458505678000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36761921029938815 " "
Order of pole (three term test) = 22.161095712303823 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.349999999999952 " "
y[1] (analytic) = 3.2895616426066088 " "
y[1] (numeric) = 3.289561642606645 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.106995981958559100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3743233227986676 " "
Order of pole (three term test) = 22.168515384958873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.3599999999999515 " "
y[1] (analytic) = 3.28369182669346 " "
y[1] (numeric) = 3.283691826693496 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.0954507273015503000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3808777109597385 " "
Order of pole (three term test) = 22.176067647040206 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.369999999999951 " "
y[1] (analytic) = 3.2776936426673813 " "
y[1] (numeric) = 3.2776936426674173 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.0974554036899481000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38727975311472723 " "
Order of pole (three term test) = 22.183749477743678 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.379999999999951 " "
y[1] (analytic) = 3.271567690341777 " "
y[1] (numeric) = 3.2715676903418127 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.0859361673269712000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3935268885321317 " "
Order of pole (three term test) = 22.191557804439444 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.389999999999950 " "
y[1] (analytic) = 3.265314582306775 " "
y[1] (numeric) = 3.2653145823068104 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.0880157452672427000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39961661844107804 " "
Order of pole (three term test) = 22.199489503900914 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.399999999999950 " "
y[1] (analytic) = 3.258934943867968 " "
y[1] (numeric) = 3.258934943868003 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.0765188069853135000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40554650703079886 " "
Order of pole (three term test) = 22.207541403554078 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.40999999999995 " "
y[1] (analytic) = 3.252429412983882 " "
y[1] (numeric) = 3.2524294129839175 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.0923261438412367000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.411314182424922 " "
Order of pole (three term test) = 22.21571028274642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.41999999999995 " "
y[1] (analytic) = 3.245798640202186 " "
y[1] (numeric) = 3.245798640202221 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.0808756631917735000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41691733763019095 " "
Order of pole (three term test) = 22.22399287403519 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.42999999999995 " "
y[1] (analytic) = 3.239043288594632 " "
y[1] (numeric) = 3.239043288594667 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.0831299384509588000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4223537314592318 " "
Order of pole (three term test) = 22.2323858644943 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.43999999999995 " "
y[1] (analytic) = 3.2321640336907507 " "
y[1] (numeric) = 3.2321640336907858 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.0854352443893216000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4276211894269967 " "
Order of pole (three term test) = 22.24088589703947 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4499999999999496 " "
y[1] (analytic) = 3.225161563410301 " "
y[1] (numeric) = 3.2251615634103357 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.0740224229783232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4327176046205307 " "
Order of pole (three term test) = 22.249489571771015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.459999999999950 " "
y[1] (analytic) = 3.218036577994474 " "
y[1] (numeric) = 3.218036577994509 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.0764003928722392000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4376409385417078 " "
Order of pole (three term test) = 22.25819344733376 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.469999999999950 " "
y[1] (analytic) = 3.210789789935875 " "
y[1] (numeric) = 3.2107897899359097 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.0788298404610502000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4423892219226028 " "
Order of pole (three term test) = 22.266994042293515 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.479999999999949 " "
y[1] (analytic) = 3.2034219239072708 " "
y[1] (numeric) = 3.203421923907305 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.0674481841825796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44696055551317304 " "
Order of pole (three term test) = 22.275887836529662 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.489999999999949 " "
y[1] (analytic) = 3.195933716689124 " "
y[1] (numeric) = 3.195933716689158 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.05605381527028000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45135311084093266 " "
Order of pole (three term test) = 22.284871272643066 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.4999999999999485 " "
y[1] (analytic) = 3.1883259170959164 " "
y[1] (numeric) = 3.18832591709595 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.0585737100348457000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45556513094231726 " "
Order of pole (three term test) = 22.293940757379076 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.509999999999948 " "
y[1] (analytic) = 3.1805992859012675 " "
y[1] (numeric) = 3.180599285901301 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.0471828653925129000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4595949310654456 " "
Order of pole (three term test) = 22.30309266306471 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.519999999999948 " "
y[1] (analytic) = 3.1727545957618575 " "
y[1] (numeric) = 3.1727545957618912 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.0637690035557369000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46344089934399857 " "
Order of pole (three term test) = 22.312323329059726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.529999999999948 " "
y[1] (analytic) = 3.1647926311401644 " "
y[1] (numeric) = 3.1647926311401977 " "
absolute error = 3.330669073875469600000000000000E-14 " "
relative error = 1.0524130526288372000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4671014974419434 " "
Order of pole (three term test) = 22.321629063220783 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.539999999999948 " "
y[1] (analytic) = 3.1567141882260135 " "
y[1] (numeric) = 3.156714188226047 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.0691743989522147000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4705752611688485 " "
Order of pole (three term test) = 22.331006143378318 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.549999999999947 " "
y[1] (analytic) = 3.1485200748569664 " "
y[1] (numeric) = 3.1485200748569993 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0437475622701100000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47386080106553924 " "
Order of pole (three term test) = 22.34045081882527 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.559999999999947 " "
y[1] (analytic) = 3.14021111043753 " "
y[1] (numeric) = 3.1402111104375625 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.0323672892978733000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47695680295986354 " "
Order of pole (three term test) = 22.34995931181741 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.569999999999947 " "
y[1] (analytic) = 3.1317881258572227 " "
y[1] (numeric) = 3.131788125857255 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.035143854445169000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47986202849234316 " "
Order of pole (three term test) = 22.3595278190843 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.579999999999947 " "
y[1] (analytic) = 3.123251963407483 " "
y[1] (numeric) = 3.1232519634075153 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.0379730069451655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4825753156115008 " "
Order of pole (three term test) = 22.369152513350613 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.589999999999947 " "
y[1] (analytic) = 3.114603476697443 " "
y[1] (numeric) = 3.114603476697475 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 1.026596911883899000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4850955790386658 " "
Order of pole (three term test) = 22.37882954486699 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.599999999999946 " "
y[1] (analytic) = 3.1058435305685665 " "
y[1] (numeric) = 3.105843530568598 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0151938946384204000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48742181070206986 " "
Order of pole (three term test) = 22.38855504294982 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.609999999999946 " "
y[1] (analytic) = 3.096973001008166 " "
y[1] (numeric) = 3.0969730010081977 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.018101671828921000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48955308014006416 " "
Order of pole (three term test) = 22.39832511752957 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.619999999999946 " "
y[1] (analytic) = 3.087992775061806 " "
y[1] (numeric) = 3.0879927750618377 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0210624245622908000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49148853487328975 " "
Order of pole (three term test) = 22.408135860706654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.629999999999946 " "
y[1] (analytic) = 3.0789037507445975 " "
y[1] (numeric) = 3.078903750744629 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0240766341503595000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49322740074565913 " "
Order of pole (three term test) = 22.417983348314618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.6399999999999455 " "
y[1] (analytic) = 3.069706836951398 " "
y[1] (numeric) = 3.0697068369514295 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0271447918025944000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4947689822340079 " "
Order of pole (three term test) = 22.42786364148972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.649999999999945 " "
y[1] (analytic) = 3.060402953365923 " "
y[1] (numeric) = 3.060402953365954 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0157565903311783000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49611266272629484 " "
Order of pole (three term test) = 22.43777278824642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.659999999999945 " "
y[1] (analytic) = 3.050993030368777 " "
y[1] (numeric) = 3.050993030368808 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0188894035509138000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49725790476823867 " "
Order of pole (three term test) = 22.447706825058127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.669999999999945 " "
y[1] (analytic) = 3.041478008944419 " "
y[1] (numeric) = 3.0414780089444498 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0074758189781896000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4982042502782923 " "
Order of pole (three term test) = 22.45766177844258 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.679999999999945 " "
y[1] (analytic) = 3.031858840587062 " "
y[1] (numeric) = 3.0318588405870925 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0106722341242327000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4989513207308691 " "
Order of pole (three term test) = 22.467633666551162 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.689999999999944 " "
y[1] (analytic) = 3.022136487205526 " "
y[1] (numeric) = 3.022136487205556 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 9.9922906849675270000000000000E-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 = 0.49949881730774925 " "
Order of pole (three term test) = 22.477618500761572 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.699999999999944 " "
y[1] (analytic) = 3.0123119210270466 " "
y[1] (numeric) = 3.012311921027077 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.002488024530615000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4998465210176018 " "
Order of pole (three term test) = 22.48761228727326 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.709999999999944 " "
y[1] (analytic) = 3.0023861245000556 " "
y[1] (numeric) = 3.0023861245000854 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 9.9101101011478680000000000000E-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 = 0.4999942927835788 " "
Order of pole (three term test) = 22.497611028704874 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.719999999999944 " "
y[1] (analytic) = 2.992360090195933 " "
y[1] (numeric) = 2.992360090195963 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 9.9433143616101280000000000000E-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 = 0.4999420734989439 " "
Order of pole (three term test) = 22.50761072569315 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.729999999999944 " "
y[1] (analytic) = 2.982234820709755 " "
y[1] (numeric) = 2.9822348207097846 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 9.9770738552616460000000000000E-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 = 0.499689884050715 " "
Order of pole (three term test) = 22.517607378492638 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.739999999999943 " "
y[1] (analytic) = 2.9720113285600323 " "
y[1] (numeric) = 2.9720113285600616 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 9.8619704334387760000000000000E-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 = 0.49923782531130867 " "
Order of pole (three term test) = 22.52759698857548 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.749999999999943 " "
y[1] (analytic) = 2.9616906360874604 " "
y[1] (numeric) = 2.9616906360874893 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 9.7463922425021440000000000000E-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 = 0.49858607809819355 " "
Order of pole (three term test) = 22.53757556023085 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.759999999999943 " "
y[1] (analytic) = 2.9512737753526856 " "
y[1] (numeric) = 2.9512737753527145 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 9.7807932565675050000000000000E-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 = 0.4977349031015649 " "
Order of pole (three term test) = 22.547539102163125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.769999999999943 " "
y[1] (analytic) = 2.9407617880331016 " "
y[1] (numeric) = 2.94076178803313 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 9.6647438585678770000000000000E-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 = 0.49668464078007235 " "
Order of pole (three term test) = 22.557483629088384 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.7799999999999425 " "
y[1] (analytic) = 2.9301557253186794 " "
y[1] (numeric) = 2.930155725318708 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 9.6997265997911790000000000000E-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 = 0.4954357112246414 " "
Order of pole (three term test) = 22.567405163328438 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.789999999999942 " "
y[1] (analytic) = 2.919456647806853 " "
y[1] (numeric) = 2.919456647806881 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 9.583160017659870000000000000E-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 = 0.4939886139904421 " "
Order of pole (three term test) = 22.577299736401894 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.799999999999942 " "
y[1] (analytic) = 2.908665625396457 " "
y[1] (numeric) = 2.9086656253964844 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 9.4660351366276430000000000000E-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 = 0.49234392789707365 " "
Order of pole (three term test) = 22.58716339061143 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.809999999999942 " "
y[1] (analytic) = 2.89778373718074 " "
y[1] (numeric) = 2.8977837371807675 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 9.501582418807869000000000000E-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 = 0.4905023107970444 " "
Order of pole (three term test) = 22.596992180626895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.819999999999942 " "
y[1] (analytic) = 2.8868120713394556 " "
y[1] (numeric) = 2.886812071339483 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 9.5376942905495620000000000000E-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 = 0.48846449931264013 " "
Order of pole (three term test) = 22.60678217506331 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.8299999999999415 " "
y[1] (analytic) = 2.875751725030045 " "
y[1] (numeric) = 2.875751725030072 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 9.4199515087036220000000000000E-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 = 0.4862313085412838 " "
Order of pole (three term test) = 22.61652945805345 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.839999999999941 " "
y[1] (analytic) = 2.864603804277922 " "
y[1] (numeric) = 2.864603804277949 " "
absolute error = 2.70894418008538200000000000000E-14 " "
relative error = 9.4566102860015680000000000000E-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 = 0.48380363172950885 " "
Order of pole (three term test) = 22.62623013081407 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.849999999999941 " "
y[1] (analytic) = 2.853369423865872 " "
y[1] (numeric) = 2.8533694238658986 " "
absolute error = 2.664535259100375700000000000000E-14 " "
relative error = 9.3382063914119630000000000000E-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 = 0.4811824399156711 " "
Order of pole (three term test) = 22.635880313205416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.859999999999940 " "
y[1] (analytic) = 2.842049707222574 " "
y[1] (numeric) = 2.8420497072226008 " "
absolute error = 2.664535259100375700000000000000E-14 " "
relative error = 9.3753999176331220000000000000E-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 = 0.4783687815415474 " "
Order of pole (three term test) = 22.645476145283183 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.869999999999940 " "
y[1] (analytic) = 2.83064578631026 " "
y[1] (numeric) = 2.8306457863102863 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 9.2562847346954610000000000000E-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 = 0.4753637820329723 " "
Order of pole (three term test) = 22.6550137888425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.87999999999994 " "
y[1] (analytic) = 2.8191588015115174 " "
y[1] (numeric) = 2.819158801511543 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 9.1364750923196270000000000000E-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 = 0.4721686433496835 " "
Order of pole (three term test) = 22.664489428953107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.88999999999994 " "
y[1] (analytic) = 2.8075899015152532 " "
y[1] (numeric) = 2.807589901515279 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 9.1741226727601880000000000000E-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 = 0.4687846435045527 " "
Order of pole (three term test) = 22.673899275485287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.89999999999994 " "
y[1] (analytic) = 2.7959402432018274 " "
y[1] (numeric) = 2.7959402432018527 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.0535142955937350000000000000E-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 = 0.46521313605239867 " "
Order of pole (three term test) = 22.6832395646259 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.90999999999994 " "
y[1] (analytic) = 2.7842109915273623 " "
y[1] (numeric) = 2.7842109915273876 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.0916547052230830000000000000E-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 = 0.461455549548583 " "
Order of pole (three term test) = 22.692506560383837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9199999999999395 " "
y[1] (analytic) = 2.7724033194072515 " "
y[1] (numeric) = 2.772403319407277 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.1303760835438570000000000000E-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 = 0.4575133869776063 " "
Order of pole (three term test) = 22.701696556084332 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.929999999999940 " "
y[1] (analytic) = 2.760518407598868 " "
y[1] (numeric) = 2.7605184075988927 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 9.0088135920944130000000000000E-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 = 0.4533882251519358 " "
Order of pole (three term test) = 22.71080587585164 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.939999999999939 " "
y[1] (analytic) = 2.748557444583487 " "
y[1] (numeric) = 2.7485574445835117 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 9.0480174611639330000000000000E-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 = 0.4490817140813002 " "
Order of pole (three term test) = 22.71983087607932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.949999999999939 " "
y[1] (analytic) = 2.7365216264474435 " "
y[1] (numeric) = 2.7365216264474683 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 9.0878126126444970000000000000E-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 = 0.44459557631270846 " "
Order of pole (three term test) = 22.728767946887604 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.959999999999939 " "
y[1] (analytic) = 2.7244121567625217 " "
y[1] (numeric) = 2.724412156762546 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 8.9652024496829770000000000000E-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 = 0.43993160624145355 " "
Order of pole (three term test) = 22.73761351356733 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.9699999999999385 " "
y[1] (analytic) = 2.712230246465598 " "
y[1] (numeric) = 2.7122302464656225 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 9.0054694189707500000000000000E-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 = 0.43509166939337895 " "
Order of pole (three term test) = 22.746364038009784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.979999999999938 " "
y[1] (analytic) = 2.6999771137375514 " "
y[1] (numeric) = 2.6999771137375754 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 8.8818594831372390000000000000E-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 = 0.4300777016786916 " "
Order of pole (three term test) = 22.755016020121822 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.989999999999938 " "
y[1] (analytic) = 2.687653983881443 " "
y[1] (numeric) = 2.687653983881467 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 8.9225835898975660000000000000E-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 = 0.42489170861762565 " "
Order of pole (three term test) = 22.763565999225992 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 4.999999999999938 " "
y[1] (analytic) = 2.6752620891999896 " "
y[1] (numeric) = 2.6752620892000136 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 8.963913266185670000000000000E-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 = 0.41953576453826014 " "
Order of pole (three term test) = 22.772010555444634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.009999999999938 " "
y[1] (analytic) = 2.6628026688723327 " "
y[1] (numeric) = 2.6628026688723567 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 9.0058559773259470000000000000E-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 = 0.41401201174681473 " "
Order of pole (three term test) = 22.78034631106786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.019999999999937 " "
y[1] (analytic) = 2.650276968830122 " "
y[1] (numeric) = 2.650276968830146 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 9.0484193214299880000000000000E-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 = 0.4083226596707574 " "
Order of pole (three term test) = 22.788569931904558 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.029999999999937 " "
y[1] (analytic) = 2.6376862416329248 " "
y[1] (numeric) = 2.6376862416329483 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 8.9232478641896120000000000000E-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 = 0.40246998397506084 " "
Order of pole (three term test) = 22.796678128616033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.039999999999937 " "
y[1] (analytic) = 2.625031746342967 " "
y[1] (numeric) = 2.6250317463429904 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 8.9662641813163760000000000000E-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 = 0.3964563256519695 " "
Order of pole (three term test) = 22.80466765803173 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.049999999999937 " "
y[1] (analytic) = 2.6123147483992333 " "
y[1] (numeric) = 2.6123147483992564 " "
absolute error = 2.309263891220325600000000000000E-14 " "
relative error = 8.8399144576103990000000000000E-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 = 0.3902840900846313 " "
Order of pole (three term test) = 22.812535324446387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.0599999999999365 " "
y[1] (analytic) = 2.59953651949092 " "
y[1] (numeric) = 2.5995365194909428 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 8.712533766130190000000000000E-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 = 0.38395574608497773 " "
Order of pole (three term test) = 22.820277980898357 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.069999999999936 " "
y[1] (analytic) = 2.58669833743027 " "
y[1] (numeric) = 2.5866983374302923 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 8.5840935416388500000000000000E-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 = 0.3774738249062317 " "
Order of pole (three term test) = 22.82789253042828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.079999999999936 " "
y[1] (analytic) = 2.5738014860247906 " "
y[1] (numeric) = 2.5738014860248124 " "
absolute error = 2.176037128265306800000000000000E-14 " "
relative error = 8.4545647365608360000000000000E-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 = 0.37084091923044055 " "
Order of pole (three term test) = 22.835375927317873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.089999999999936 " "
y[1] (analytic) = 2.560847254948875 " "
y[1] (numeric) = 2.5608472549488965 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 8.3239178094706650000000000000E-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 = 0.3640596821314369 " "
Order of pole (three term test) = 22.842725178308157 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.099999999999936 " "
y[1] (analytic) = 2.547836939614836 " "
y[1] (numeric) = 2.547836939614857 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.1921227133586720000000000000E-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 = 0.357132826013645 " "
Order of pole (three term test) = 22.849937343796725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.1099999999999355 " "
y[1] (analytic) = 2.534771841043364 " "
y[1] (numeric) = 2.534771841043385 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.2343477724454760000000000000E-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 = 0.35006312152715496 " "
Order of pole (three term test) = 22.85700953901355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.119999999999935 " "
y[1] (analytic) = 2.5216532657334296 " "
y[1] (numeric) = 2.5216532657334505 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.2771859028295910000000000000E-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 = 0.34285339645950047 " "
Order of pole (three term test) = 22.863938935174826 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.129999999999935 " "
y[1] (analytic) = 2.508482525531632 " "
y[1] (numeric) = 2.5084825255316523 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 8.1436101089735410000000000000E-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 = 0.3355065346045797 " "
Order of pole (three term test) = 22.870722760614488 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.139999999999935 " "
y[1] (analytic) = 2.4952609375010146 " "
y[1] (numeric) = 2.495260937501035 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 8.186760489089959000000000000E-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 = 0.3280254746091778 " "
Order of pole (three term test) = 22.87735830189281 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.149999999999935 " "
y[1] (analytic) = 2.4819898237893634 " "
y[1] (numeric) = 2.481989823789384 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 8.2305348141655120000000000000E-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 = 0.3204132087975471 " "
Order of pole (three term test) = 22.88384290488175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.159999999999934 " "
y[1] (analytic) = 2.4686705114969905 " "
y[1] (numeric) = 2.4686705114970104 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 8.0950513040051670000000000000E-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 = 0.3126727819745164 " "
Order of pole (three term test) = 22.890173975826578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.169999999999934 " "
y[1] (analytic) = 2.455304332544025 " "
y[1] (numeric) = 2.4553043325440447 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 7.9582498081436480000000000000E-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 = 0.3048072902076108 " "
Order of pole (three term test) = 22.89634898238332 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.179999999999934 " "
y[1] (analytic) = 2.4418926235372242 " "
y[1] (numeric) = 2.4418926235372433 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 7.8200965265586730000000000000E-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 = 0.29681987958866507 " "
Order of pole (three term test) = 22.902365454631692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.189999999999934 " "
y[1] (analytic) = 2.4284367256363124 " "
y[1] (numeric) = 2.428436725636331 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.6805570500567170000000000000E-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 = 0.28871374497542984 " "
Order of pole (three term test) = 22.90822098606302 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.199999999999934 " "
y[1] (analytic) = 2.414937984419866 " "
y[1] (numeric) = 2.414937984419885 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.7234889401034810000000000000E-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 = 0.2804921287136697 " "
Order of pole (three term test) = 22.913913234542793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.209999999999933 " "
y[1] (analytic) = 2.4013977497507586 " "
y[1] (numeric) = 2.401397749750777 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 7.5821082141608330000000000000E-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 = 0.27215831934026896 " "
Order of pole (three term test) = 22.91943992324752 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.219999999999933 " "
y[1] (analytic) = 2.387817375641173 " "
y[1] (numeric) = 2.3878173756411907 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.4392491549872650000000000000E-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 = 0.2637156502678614 " "
Order of pole (three term test) = 22.9247988415754 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.229999999999933 " "
y[1] (analytic) = 2.374198220117203 " "
y[1] (numeric) = 2.3741982201172207 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.4819230523749610000000000000E-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 = 0.25516749845150843 " "
Order of pole (three term test) = 22.929987846030553 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.239999999999933 " "
y[1] (analytic) = 2.3605416450830523 " "
y[1] (numeric) = 2.3605416450830696 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 7.3370784286854130000000000000E-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 = 0.24651728303796308 " "
Order of pole (three term test) = 22.9350048610804 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.2499999999999325 " "
y[1] (analytic) = 2.346849016184844 " "
y[1] (numeric) = 2.3468490161848607 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 7.1906585630020060000000000000E-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 = 0.23776846399805585 " "
Order of pole (three term test) = 22.939847879985805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.259999999999932 " "
y[1] (analytic) = 2.3331217026740565 " "
y[1] (numeric) = 2.3331217026740734 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 7.2329660107147520000000000000E-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 = 0.2289245407427532 " "
Order of pole (three term test) = 22.944514965603773 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.269999999999932 " "
y[1] (analytic) = 2.319361077270603 " "
y[1] (numeric) = 2.319361077270619 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 6.8929377625909880000000000000E-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 = 0.21998905072343955 " "
Order of pole (three term test) = 22.94900425116228 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.279999999999932 " "
y[1] (analytic) = 2.305568516025555 " "
y[1] (numeric) = 2.305568516025571 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 6.9341732607286580000000000000E-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 = 0.21096556801698563 " "
Order of pole (three term test) = 22.95331394100697 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.289999999999932 " "
y[1] (analytic) = 2.291745398183544 " "
y[1] (numeric) = 2.2917453981835596 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.7822203797471550000000000000E-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 = 0.20185770189616087 " "
Order of pole (three term test) = 22.957442311319358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.299999999999931 " "
y[1] (analytic) = 2.2778931060448353 " "
y[1] (numeric) = 2.2778931060448504 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 6.6285082012118510000000000000E-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 = 0.1926690953859779 " "
Order of pole (three term test) = 22.961387710806378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.309999999999931 " "
y[1] (analytic) = 2.264013024827099 " "
y[1] (numeric) = 2.2640130248271135 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 6.4729945297780490000000000000E-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 = 0.18340342380652783 " "
Order of pole (three term test) = 22.965148561360817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.319999999999931 " "
y[1] (analytic) = 2.25010654252689 " "
y[1] (numeric) = 2.250106542526904 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 6.3156363694863470000000000000E-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 = 0.17406439330290102 " "
Order of pole (three term test) = 22.968723358692618 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.329999999999930 " "
y[1] (analytic) = 2.2361750497808495 " "
y[1] (numeric) = 2.2361750497808632 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 6.1563899063720960000000000000E-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 = 0.16465573936278124 " "
Order of pole (three term test) = 22.972110672930512 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.339999999999930 " "
y[1] (analytic) = 2.222219939726643 " "
y[1] (numeric) = 2.2222199397266564 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 5.9952104907944940000000000000E-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 = 0.15518122532229722 " "
Order of pole (three term test) = 22.975309149193947 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.34999999999993 " "
y[1] (analytic) = 2.208242607863647 " "
y[1] (numeric) = 2.2082426078636597 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 5.8320526194860170000000000000E-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 = 0.14564464086073867 " "
Order of pole (three term test) = 22.978317508135074 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.35999999999993 " "
y[1] (analytic) = 2.1942444519133986 " "
y[1] (numeric) = 2.1942444519134114 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 5.8692581286563520000000000000E-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 = 0.1360498004847392 " "
Order of pole (three term test) = 22.981134546450427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.36999999999993 " "
y[1] (analytic) = 2.1802268716798294 " "
y[1] (numeric) = 2.180226871679842 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 5.703304567666929000000000000E-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 = 0.1264005420025188 " "
Order of pole (three term test) = 22.983759137362256 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.37999999999993 " "
y[1] (analytic) = 2.16619126890928 " "
y[1] (numeric) = 2.1661912689092926 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 5.7402585146891340000000000000E-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 = 0.11670072498881622 " "
Order of pole (three term test) = 22.986190231069163 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.3899999999999295 " "
y[1] (analytic) = 2.152139047150333 " "
y[1] (numeric) = 2.152139047150345 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 5.5713912545884530000000000000E-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 = 0.10695422924110592 " "
Order of pole (three term test) = 22.988426855166093 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.399999999999930 " "
y[1] (analytic) = 2.1380716116134524 " "
y[1] (numeric) = 2.1380716116134644 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 5.6080482060670420000000000000E-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 = 9.71649532277370800E-2 " "
Order of pole (three term test) = 22.990468115033234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.409999999999929 " "
y[1] (analytic) = 2.1239903690304702 " "
y[1] (numeric) = 2.1239903690304818 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 5.4361449206439350000000000000E-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 = 8.73368125285927700E-2 " "
Order of pole (three term test) = 22.992313194193844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.419999999999929 " "
y[1] (analytic) = 2.1098967275139096 " "
y[1] (numeric) = 2.109896727513921 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 5.4724571613069660000000000000E-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 = 7.74737382689117400E-2 " "
Order of pole (three term test) = 22.993961354640867 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.429999999999929 " "
y[1] (analytic) = 2.0957920964161776 " "
y[1] (numeric) = 2.095792096416189 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 5.5092866681985930000000000000E-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 = 6.75796755468928800E-2 " "
Order of pole (three term test) = 22.995411937132094 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.4399999999999284 " "
y[1] (analytic) = 2.081677886188631 " "
y[1] (numeric) = 2.081677886188642 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 5.3333084431130560000000000000E-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 = 5.76585818557056400E-2 " "
Order of pole (three term test) = 22.996664361453885 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.449999999999928 " "
y[1] (analytic) = 2.06755550824053 " "
y[1] (numeric) = 2.067555508240541 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 5.1549479537173240000000000000E-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 = 4.771442550054693600E-2 " "
Order of pole (three term test) = 22.997718126653176 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.459999999999928 " "
y[1] (analytic) = 2.053426374797901 " "
y[1] (numeric) = 2.0534263747979113 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 4.9741504988493734000000000000E-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 = 3.775118401137176300E-2 " "
Order of pole (three term test) = 22.99857281123798 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.469999999999928 " "
y[1] (analytic) = 2.039291898762314 " "
y[1] (numeric) = 2.039291898762324 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 5.0086266869154670000000000000E-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 = 2.777284255193460700E-2 " "
Order of pole (three term test) = 22.99922807334583 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.479999999999928 " "
y[1] (analytic) = 2.025153493569594 " "
y[1] (numeric) = 2.025153493569604 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 4.8243072180571160000000000000E-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 = 1.778339232577594600E-2 " "
Order of pole (three term test) = 22.999683650880627 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.489999999999927 " "
y[1] (analytic) = 2.0110125730484785 " "
y[1] (numeric) = 2.011012573048488 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 4.6374018401656714000000000000E-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 = 7.786828979796265000E-3 " "
Order of pole (three term test) = 22.99993936161742 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.499999999999927 " "
y[1] (analytic) = 1.996870551279235 " "
y[1] (numeric) = 1.996870551279244 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 4.4478517605016530000000000000E-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 = 2.2128489939524995000E-3 " "
Order of pole (three term test) = 22.999995103275353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.509999999999927 " "
y[1] (analytic) = 1.9827288424522553 " "
y[1] (numeric) = 1.9827288424522644 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 4.5915652241516760000000000000E-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 = 1.22116418576083810E-2 " "
Order of pole (three term test) = 22.99985085355848 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.519999999999927 " "
y[1] (analytic) = 1.9685888607266384 " "
y[1] (numeric) = 1.968588860726647 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 4.3989579362344710000000000000E-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 = 2.220555022734083700E-2 " "
Order of pole (three term test) = 22.999506670164777 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.5299999999999265 " "
y[1] (analytic) = 1.9544520200887727 " "
y[1] (numeric) = 1.9544520200887812 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 4.31716660241572200000000000000E-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 = 3.2190576673051800E-2 " "
Order of pole (three term test) = 22.998962690763005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.539999999999926 " "
y[1] (analytic) = 1.940319734210942 " "
y[1] (numeric) = 1.9403197342109497 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 4.00529924803167000000000000000E-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 = 4.216272731729555600E-2 " "
Order of pole (three term test) = 22.998219132937674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.549999999999926 " "
y[1] (analytic) = 1.9261934163099563 " "
y[1] (numeric) = 1.9261934163099639 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 3.9193969325852080000000000000E-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 = 5.211801343277529000E-2 " "
Order of pole (three term test) = 22.997276294102004 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.559999999999926 " "
y[1] (analytic) = 1.9120744790058346 " "
y[1] (numeric) = 1.9120744790058417 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 3.71608294322060300000000000000E-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 = 6.20524530377791600E-2 " "
Order of pole (three term test) = 22.99613455137895 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.569999999999926 " "
y[1] (analytic) = 1.897964334180541 " "
y[1] (numeric) = 1.897964334180548 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 3.7437096312290920000000000000E-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 = 7.19620724889222800E-2 " "
Order of pole (three term test) = 22.994794361450396 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.5799999999999255 " "
y[1] (analytic) = 1.8838643928368002 " "
y[1] (numeric) = 1.8838643928368068 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 3.53599663175332000000000000000E-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 = 8.18429080705522900E-2 " "
Order of pole (three term test) = 22.993256260374412 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.589999999999925 " "
y[1] (analytic) = 1.8697760649569963 " "
y[1] (numeric) = 1.8697760649570025 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 3.32513024122162440000000000000E-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 = 9.16910075801778900E-2 " "
Order of pole (three term test) = 22.991520863370955 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.599999999999925 " "
y[1] (analytic) = 1.855700759362177 " "
y[1] (numeric) = 1.855700759362183 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 3.23069562952404970000000000000E-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 = 0.101502431909302 " "
Order of pole (three term test) = 22.98958886457567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.609999999999925 " "
y[1] (analytic) = 1.8416398835711727 " "
y[1] (numeric) = 1.8416398835711782 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 3.01422399278270860000000000000E-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 = 0.11127325661901015 " "
Order of pole (three term test) = 22.98746103676233 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.619999999999925 " "
y[1] (analytic) = 1.8275948436598446 " "
y[1] (numeric) = 1.8275948436598501 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 3.0373882605235490000000000000E-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 = 0.12099957350969438 " "
Order of pole (three term test) = 22.985138231033662 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.629999999999924 " "
y[1] (analytic) = 1.81356704412048 " "
y[1] (numeric) = 1.8135670441204854 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 2.93844693278773940000000000000E-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 = 0.13067749218428096 " "
Order of pole (three term test) = 22.982621376481013 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.639999999999924 " "
y[1] (analytic) = 1.7995578877213436 " "
y[1] (numeric) = 1.7995578877213485 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.71454524563041640000000000000E-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 = 0.14030314160433668 " "
Order of pole (three term test) = 22.979911479812632 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.649999999999924 " "
y[1] (analytic) = 1.7855687753664005 " "
y[1] (numeric) = 1.785568775366405 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.48710223866305650000000000000E-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 = 0.14987267163843462 " "
Order of pole (three term test) = 22.97700962495106 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.659999999999924 " "
y[1] (analytic) = 1.7716011059552281 " "
y[1] (numeric) = 1.7716011059552326 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.5067110669397250000000000000E-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 = 0.15938225460215286 " "
Order of pole (three term test) = 22.973916972599564 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.6699999999999235 " "
y[1] (analytic) = 1.7576562762431291 " "
y[1] (numeric) = 1.757656276243133 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 2.14760891236016940000000000000E-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 = 0.16882808678909872 " "
Order of pole (three term test) = 22.970634759777827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.679999999999923 " "
y[1] (analytic) = 1.743735680701453 " "
y[1] (numeric) = 1.7437356807014566 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.0374152562912230000000000000E-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 = 0.17820638999233943 " "
Order of pole (three term test) = 22.967164299327223 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.689999999999923 " "
y[1] (analytic) = 1.7298407113781538 " "
y[1] (numeric) = 1.729840711378157 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 1.92541952098118090000000000000E-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 = 0.18751341301563743 " "
Order of pole (three term test) = 22.96350697938567 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.699999999999923 " "
y[1] (analytic) = 1.7159727577585846 " "
y[1] (numeric) = 1.715972757758588 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 1.94098015764889660000000000000E-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 = 0.19674543317387452 " "
Order of pole (three term test) = 22.95966426283237 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.709999999999923 " "
y[1] (analytic) = 1.7021332066265513 " "
y[1] (numeric) = 1.7021332066265542 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 1.6958601434880080000000000000E-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 = 0.20589875778207953 " "
Order of pole (three term test) = 22.955637686702712 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.7199999999999225 " "
y[1] (analytic) = 1.688323441925634 " "
y[1] (numeric) = 1.6883234419256363 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.31517811937608420000000000000E-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 = 0.21496972563245162 " "
Order of pole (three term test) = 22.951428861573454 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.729999999999922 " "
y[1] (analytic) = 1.6745448446207944 " "
y[1] (numeric) = 1.6745448446207964 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.19339977710649220000000000000E-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 = 0.22395470845879573 " "
Order of pole (three term test) = 22.947039470918547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.739999999999922 " "
y[1] (analytic) = 1.6607987925602807 " "
y[1] (numeric) = 1.6607987925602827 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.2032772743316811000000000000E-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 = 0.23285011238777922 " "
Order of pole (three term test) = 22.942471270435718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.749999999999922 " "
y[1] (analytic) = 1.6470866603378447 " "
y[1] (numeric) = 1.6470866603378462 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 9.43673621979552800000000000000E-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 = 0.24165237937643433 " "
Order of pole (three term test) = 22.93772608734424 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.759999999999922 " "
y[1] (analytic) = 1.633409819155281 " "
y[1] (numeric) = 1.6334098191552824 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 8.15635864267775100000000000000E-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 = 0.2503579886353278 " "
Order of pole (three term test) = 22.93280581965412 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.769999999999921 " "
y[1] (analytic) = 1.6197696366853112 " "
y[1] (numeric) = 1.6197696366853123 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 6.8542032118660500000000000000E-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 = 0.25896345803682935 " "
Order of pole (three term test) = 22.927712435406793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.779999999999921 " "
y[1] (analytic) = 1.6061674769348153 " "
y[1] (numeric) = 1.606167476934816 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.14734966521880500000000000000E-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 = 0.26746534550791584 " "
Order of pole (three term test) = 22.922447971888058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.789999999999921 " "
y[1] (analytic) = 1.5926047001084331 " "
y[1] (numeric) = 1.5926047001084336 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.788445932752971500000000000000E-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 = 0.2758602504069564 " "
Order of pole (three term test) = 22.917014534813127 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.799999999999920 " "
y[1] (analytic) = 1.5790826624725451 " "
y[1] (numeric) = 1.5790826624725454 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.40616200913352700000000000000E-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 = 0.2841448148839218 " "
Order of pole (three term test) = 22.9114142974844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.809999999999920 " "
y[1] (analytic) = 1.5656027162196469 " "
y[1] (numeric) = 1.5656027162196466 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.418269160015173700000000000000E-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 = 0.29231572522348026 " "
Order of pole (three term test) = 22.90564949992212 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.81999999999992 " "
y[1] (analytic) = 1.5521662093331299 " "
y[1] (numeric) = 1.5521662093331294 " "
absolute error = 4.4408920985006260000000000000000E-16 " "
relative error = 2.86109314311680800000000000000E-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 = 0.3003697131704411 " "
Order of pole (three term test) = 22.899722447968475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.82999999999992 " "
y[1] (analytic) = 1.538774485452486 " "
y[1] (numeric) = 1.5387744854524854 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.328989212342009300000000000000E-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 = 0.30830355723700953 " "
Order of pole (three term test) = 22.89363551236519 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.83999999999992 " "
y[1] (analytic) = 1.5254288837389436 " "
y[1] (numeric) = 1.5254288837389427 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 5.82248329743915400000000000000E-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 = 0.3161140839913424 " "
Order of pole (three term test) = 22.887391127805373 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.84999999999992 " "
y[1] (analytic) = 1.5121307387415526 " "
y[1] (numeric) = 1.5121307387415515 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 7.34211001853664200000000000000E-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 = 0.3237981693268771 " "
Order of pole (three term test) = 22.880991791959577 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.8599999999999195 " "
y[1] (analytic) = 1.498881380263731 " "
y[1] (numeric) = 1.4988813802637297 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 8.88841269958115500000000000000E-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 = 0.33135273971193246 " "
Order of pole (three term test) = 22.87444006447681 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.869999999999920 " "
y[1] (analytic) = 1.485682133230286 " "
y[1] (numeric) = 1.4856821332302843 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.19565067093992490000000000000E-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 = 0.3387747734190807 " "
Order of pole (three term test) = 22.867738565960725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.879999999999919 " "
y[1] (analytic) = 1.4725343175549208 " "
y[1] (numeric) = 1.472534317554919 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.20632627587913450000000000000E-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 = 0.34606130173379773 " "
Order of pole (three term test) = 22.86088997692137 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.889999999999919 " "
y[1] (analytic) = 1.459439248008247 " "
y[1] (numeric) = 1.459439248008245 " "
absolute error = 1.9984014443252818000000000000000E-15 " "
relative error = 1.36929402649173440000000000000E-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 = 0.3532094101419106 " "
Order of pole (three term test) = 22.853897036703053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.899999999999919 " "
y[1] (analytic) = 1.4463982340863064 " "
y[1] (numeric) = 1.4463982340863042 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.53515539283894030000000000000E-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 = 0.36021623949536263 " "
Order of pole (three term test) = 22.846762542388614 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.909999999999918 " "
y[1] (analytic) = 1.433412579879624 " "
y[1] (numeric) = 1.4334125798796216 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 1.70396903756799830000000000000E-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 = 0.3670789871558357 " "
Order of pole (three term test) = 22.839489347680665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.919999999999918 " "
y[1] (analytic) = 1.4204835839427992 " "
y[1] (numeric) = 1.4204835839427963 " "
absolute error = 2.886579864025407000000000000000E-15 " "
relative error = 2.03211068164068640000000000000E-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 = 0.37379490811576793 " "
Order of pole (three term test) = 22.832080361760102 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.929999999999918 " "
y[1] (analytic) = 1.4076125391646512 " "
y[1] (numeric) = 1.4076125391646481 " "
absolute error = 3.1086244689504383000000000000000E-15 " "
relative error = 2.20843760797644920000000000000E-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 = 0.38036131609631935 " "
Order of pole (three term test) = 22.824538548122526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.939999999999918 " "
y[1] (analytic) = 1.3948007326389322 " "
y[1] (numeric) = 1.394800732638929 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 2.3879174966978380000000000000E-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 = 0.38677558462184874 " "
Order of pole (three term test) = 22.816866923392816 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.949999999999918 " "
y[1] (analytic) = 1.3820494455356183 " "
y[1] (numeric) = 1.3820494455356147 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.57061257126269760000000000000E-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 = 0.39303514807046863 " "
Order of pole (three term test) = 22.80906855611858 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.959999999999917 " "
y[1] (analytic) = 1.3693599529727936 " "
y[1] (numeric) = 1.3693599529727898 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 2.7565858600806686000000000000E-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 = 0.399137502700259 " "
Order of pole (three term test) = 22.80114656554277 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.969999999999917 " "
y[1] (analytic) = 1.3567335238891403 " "
y[1] (numeric) = 1.356733523889136 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 3.10956235641769300000000000000E-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 = 0.40508020765073166 " "
Order of pole (three term test) = 22.79310412035596 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.979999999999917 " "
y[1] (analytic) = 1.3441714209170443 " "
y[1] (numeric) = 1.3441714209170397 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 3.4690044966470320000000000000E-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 = 0.4108608859191415 " "
Order of pole (three term test) = 22.784944437429015 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.989999999999917 " "
y[1] (analytic) = 1.3316749002563344 " "
y[1] (numeric) = 1.3316749002563297 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 3.50155785209144300000000000000E-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 = 0.41647722531125586 " "
Order of pole (three term test) = 22.776670780526306 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 5.9999999999999165 " "
y[1] (analytic) = 1.3192452115486633 " "
y[1] (numeric) = 1.3192452115486584 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 3.7028607461202790000000000000E-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 = 0.4219269793662013 " "
Order of pole (three term test) = 22.76828645900029 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.009999999999916 " "
y[1] (analytic) = 1.3068835977525437 " "
y[1] (numeric) = 1.3068835977525384 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 4.07769332124543360000000000000E-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 = 0.4272079682550184 " "
Order of pole (three term test) = 22.75979482646777 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.019999999999916 " "
y[1] (analytic) = 1.2945912950190537 " "
y[1] (numeric) = 1.2945912950190481 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 4.2879286648100640000000000000E-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 = 0.43231807965256364 " "
Order of pole (three term test) = 22.75119927946855 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.029999999999916 " "
y[1] (analytic) = 1.282369532568223 " "
y[1] (numeric) = 1.2823695325682172 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 4.50194704523961260000000000000E-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 = 0.4372552695824122 " "
Order of pole (three term test) = 22.74250325610683 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.039999999999916 " "
y[1] (analytic) = 1.270219532566112 " "
y[1] (numeric) = 1.270219532566106 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 4.7198174640443963000000000000E-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 = 0.4420175632344202 " "
Order of pole (three term test) = 22.733710234675986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.0499999999999154 " "
y[1] (analytic) = 1.2581425100025962 " "
y[1] (numeric) = 1.25814251000259 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 4.9416094667114040000000000000E-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 = 0.4466030557546233 " "
Order of pole (three term test) = 22.724823732267378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.059999999999915 " "
y[1] (analytic) = 1.246139672569868 " "
y[1] (numeric) = 1.2461396725698612 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 5.3455790666013450000000000000E-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 = 0.45100991300715276 " "
Order of pole (three term test) = 22.715847303363464 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.069999999999915 " "
y[1] (analytic) = 1.2342122205416675 " "
y[1] (numeric) = 1.2342122205416606 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 5.5771468132563230000000000000E-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 = 0.45523637230786457 " "
Order of pole (three term test) = 22.706784538416134 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.079999999999915 " "
y[1] (analytic) = 1.2223613466532586 " "
y[1] (numeric) = 1.2223613466532515 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 5.8128698007795930000000000000E-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 = 0.4592807431293907 " "
Order of pole (three term test) = 22.69763906241053 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.089999999999915 " "
y[1] (analytic) = 1.210588235982154 " "
y[1] (numeric) = 1.210588235982147 " "
absolute error = 7.105427357601002000000000000000E-15 " "
relative error = 5.8694006321946010000000000000E-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 = 0.46314140777732654 " "
Order of pole (three term test) = 22.688414533415116 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.099999999999914 " "
y[1] (analytic) = 1.1988940658296108 " "
y[1] (numeric) = 1.1988940658296032 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 6.2970672577538780000000000000E-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 = 0.46681682203728814 " "
Order of pole (three term test) = 22.679114641118495 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.109999999999914 " "
y[1] (analytic) = 1.1872800056028983 " "
y[1] (numeric) = 1.1872800056028905 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 6.5456852096399230000000000000E-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 = 0.47030551579257585 " "
Order of pole (three term test) = 22.669743105353586 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.119999999999914 " "
y[1] (analytic) = 1.1757472166983611 " "
y[1] (numeric) = 1.1757472166983531 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 6.7987452266722160000000000000E-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 = 0.4736060936122033 " "
Order of pole (three term test) = 22.66030367460975 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.129999999999914 " "
y[1] (analytic) = 1.1642968523852788 " "
y[1] (numeric) = 1.1642968523852708 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 6.8656079941509230000000000000E-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 = 0.47671723530904964 " "
Order of pole (three term test) = 22.650800124533426 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.1399999999999135 " "
y[1] (analytic) = 1.1529300576905415 " "
y[1] (numeric) = 1.152930057690533 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 7.3184794956711550000000000000E-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 = 0.4796376964679174 " "
Order of pole (three term test) = 22.641236256417926 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.149999999999913 " "
y[1] (analytic) = 1.1416479692841457 " "
y[1] (numeric) = 1.1416479692841368 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.779792401829830000000000000E-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 = 0.4823663089432821 " "
Order of pole (three term test) = 22.63161589568299 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.159999999999913 " "
y[1] (analytic) = 1.1304517153655302 " "
y[1] (numeric) = 1.1304517153655214 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.8568452559951560000000000000E-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 = 0.48490198132653434 " "
Order of pole (three term test) = 22.62194289034463 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.169999999999913 " "
y[1] (analytic) = 1.1193424155507572 " "
y[1] (numeric) = 1.119342415550748 " "
absolute error = 9.103828801926284000000000000000E-15 " "
relative error = 8.133193806871750000000000000E-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 = 0.4872436993825295 " "
Order of pole (three term test) = 22.61222110947601 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.179999999999913 " "
y[1] (analytic) = 1.1083211807605504 " "
y[1] (numeric) = 1.1083211807605409 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 8.6147573262331680000000000000E-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 = 0.48939052645526787 " "
Order of pole (three term test) = 22.602454441659873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.1899999999999125 " "
y[1] (analytic) = 1.0973891131092042 " "
y[1] (numeric) = 1.0973891131091944 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 8.9029155656742350000000000000E-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 = 0.49134160384254394 " "
Order of pole (three term test) = 22.592646793433104 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.199999999999912 " "
y[1] (analytic) = 1.0865473057943738 " "
y[1] (numeric) = 1.0865473057943638 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 9.1961087826924040000000000000E-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 = 0.4930961511394171 " "
Order of pole (three term test) = 22.582802087724236 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.209999999999912 " "
y[1] (analytic) = 1.075796842987756 " "
y[1] (numeric) = 1.0757968429877458 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 9.494405837987470000000000000E-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 = 0.4946534665503625 " "
Order of pole (three term test) = 22.572924262284303 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.219999999999912 " "
y[1] (analytic) = 1.0651387997266726 " "
y[1] (numeric) = 1.0651387997266621 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 9.7978746377040260000000000000E-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 = 0.4960129271699791 " "
Order of pole (three term test) = 22.563017268111757 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.229999999999912 " "
y[1] (analytic) = 1.0545742418065682 " "
y[1] (numeric) = 1.0545742418065576 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 1.0106581987194446000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49717398923214523 " "
Order of pole (three term test) = 22.553085067872182 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.239999999999911 " "
y[1] (analytic) = 1.044104225674431 " "
y[1] (numeric) = 1.0441042256744202 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 1.0420593436731436000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4981361883275169 " "
Order of pole (three term test) = 22.543131634313262 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.249999999999911 " "
y[1] (analytic) = 1.033729798323149 " "
y[1] (numeric) = 1.0337297983231382 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 1.0525173656574166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4988991395892845 " "
Order of pole (three term test) = 22.533160948675693 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.259999999999911 " "
y[1] (analytic) = 1.0234519971868123 " "
y[1] (numeric) = 1.0234519971868012 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 1.0847827037094597000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49946253784711636 " "
Order of pole (three term test) = 22.523176999100787 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.269999999999910 " "
y[1] (analytic) = 1.0132718500369697 " "
y[1] (numeric) = 1.0132718500369584 " "
absolute error = 1.132427485117659700000000000000E-14 " "
relative error = 1.117594932767887000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49982615774922107 " "
Order of pole (three term test) = 22.513183779035266 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.2799999999999105 " "
y[1] (analytic) = 1.0031903748798527 " "
y[1] (numeric) = 1.0031903748798412 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 1.1509599518919303000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49998985385248607 " "
Order of pole (three term test) = 22.503185285633922 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.28999999999991 " "
y[1] (analytic) = 0.9932085798545758 " "
y[1] (numeric) = 0.993208579854564 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 1.1848834474174366000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49995356068065266 " "
Order of pole (three term test) = 22.493185518160782 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.29999999999991 " "
y[1] (analytic) = 0.9833274631323232 " "
y[1] (numeric) = 0.9833274631323113 " "
absolute error = 1.187938636348917500000000000000E-14 " "
relative error = 1.208080401380044000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49971729275050525 " "
Order of pole (three term test) = 22.48318847638952 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.30999999999991 " "
y[1] (analytic) = 0.9735480128165332 " "
y[1] (numeric) = 0.9735480128165211 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 1.243023539579114900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49928114456606654 " "
Order of pole (three term test) = 22.47319815900356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.31999999999991 " "
y[1] (analytic) = 0.9638712068440878 " "
y[1] (numeric) = 0.9638712068440755 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 1.2785396519612643000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49864529058079415 " "
Order of pole (three term test) = 22.46321856199663 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.3299999999999095 " "
y[1] (analytic) = 0.9542980128875201 " "
y[1] (numeric) = 0.9542980128875076 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 1.3146333754069095000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4978099851278049 " "
Order of pole (three term test) = 22.453253677074503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.339999999999910 " "
y[1] (analytic) = 0.9448293882582485 " "
y[1] (numeric) = 0.9448293882582356 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 1.3630595370655146000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4967755623181425 " "
Order of pole (three term test) = 22.443307490058267 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.349999999999909 " "
y[1] (analytic) = 0.9354662798108447 " "
y[1] (numeric) = 0.9354662798108319 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 1.3767024385161078000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49554243590713865 " "
Order of pole (three term test) = 22.433383979290117 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.359999999999909 " "
y[1] (analytic) = 0.9262096238483515 " "
y[1] (numeric) = 0.9262096238483385 " "
absolute error = 1.298960938811433200000000000000E-14 " "
relative error = 1.402448112571234000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4941110991289164 " "
Order of pole (three term test) = 22.423487114042054 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.369999999999909 " "
y[1] (analytic) = 0.9170603460286513 " "
y[1] (numeric) = 0.917060346028638 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 1.4527589545438316000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4924821244991027 " "
Order of pole (three term test) = 22.41362085292821 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.379999999999908 " "
y[1] (analytic) = 0.9080193612719015 " "
y[1] (numeric) = 0.9080193612718879 " "
absolute error = 1.365574320288942500000000000000E-14 " "
relative error = 1.503904408355483000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49065616358583003 " "
Order of pole (three term test) = 22.403789142321486 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.389999999999908 " "
y[1] (analytic) = 0.8990875736690436 " "
y[1] (numeric) = 0.8990875736690298 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 1.5311929458853274000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48863394674911825 " "
Order of pole (three term test) = 22.393995914775044 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.399999999999908 " "
y[1] (analytic) = 0.8902658763913948 " "
y[1] (numeric) = 0.8902658763913809 " "
absolute error = 1.387778780781445700000000000000E-14 " "
relative error = 1.5588363179847692000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.486416282848739 " "
Order of pole (three term test) = 22.38424508744932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.409999999999908 " "
y[1] (analytic) = 0.8815551516013314 " "
y[1] (numeric) = 0.8815551516013174 " "
absolute error = 1.398881011027697200000000000000E-14 " "
relative error = 1.5868332327100027000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4840040589206844 " "
Order of pole (three term test) = 22.37454056054524 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.419999999999908 " "
y[1] (analytic) = 0.8729562703640737 " "
y[1] (numeric) = 0.8729562703640595 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 1.627899953026885000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48139823982236285 " "
Order of pole (three term test) = 22.364886215744168 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.429999999999907 " "
y[1] (analytic) = 0.8644700925605797 " "
y[1] (numeric) = 0.8644700925605653 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.6695660664646553000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4785998678466701 " "
Order of pole (three term test) = 22.35528591465531 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.439999999999907 " "
y[1] (analytic) = 0.8560974668015577 " "
y[1] (numeric) = 0.8560974668015432 " "
absolute error = 1.45439216225895500000000000000E-14 " "
relative error = 1.6988628265572023000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.475610062305085 " "
Order of pole (three term test) = 22.345743497271098 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.449999999999907 " "
y[1] (analytic) = 0.8478392303426069 " "
y[1] (numeric) = 0.847839230342592 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.7546945219750443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4724300190799608 " "
Order of pole (three term test) = 22.33626278043124 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.459999999999907 " "
y[1] (analytic) = 0.8396962090004907 " "
y[1] (numeric) = 0.8396962090004758 " "
absolute error = 1.487698852997709800000000000000E-14 " "
relative error = 1.7717108128528425000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4690610101461876 " "
Order of pole (three term test) = 22.32684755629608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.4699999999999065 " "
y[1] (analytic) = 0.8316692170705581 " "
y[1] (numeric) = 0.831669217070543 " "
absolute error = 1.50990331349021300000000000000E-14 " "
relative error = 1.8155094387269040000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4655043830624196 " "
Order of pole (three term test) = 22.317501590829735 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.479999999999906 " "
y[1] (analytic) = 0.8237590572453123 " "
y[1] (numeric) = 0.8237590572452973 " "
absolute error = 1.498801083243961300000000000000E-14 " "
relative error = 1.8194653765095103000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46176156043206873 " "
Order of pole (three term test) = 22.30822862229378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.489999999999906 " "
y[1] (analytic) = 0.815966520534145 " "
y[1] (numeric) = 0.8159665205341295 " "
absolute error = 1.543210004228967600000000000000E-14 " "
relative error = 1.8912663269796376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45783403933428374 " "
Order of pole (three term test) = 22.29903235975199 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.499999999999906 " "
y[1] (analytic) = 0.8082923861842325 " "
y[1] (numeric) = 0.8082923861842172 " "
absolute error = 1.53210777398271600000000000000E-14 " "
relative error = 1.8954870788966036000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4537233907251377 " "
Order of pole (three term test) = 22.28991648158676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.509999999999906 " "
y[1] (analytic) = 0.8007374216026156 " "
y[1] (numeric) = 0.8007374216026 " "
absolute error = 1.565414464721470700000000000000E-14 " "
relative error = 1.9549660381656844000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4494312588092661 " "
Order of pole (three term test) = 22.280884634027828 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.519999999999905 " "
y[1] (analytic) = 0.7933023822794562 " "
y[1] (numeric) = 0.7933023822794404 " "
absolute error = 1.576516694967722300000000000000E-14 " "
relative error = 1.9872834497708136000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44495936038220757 " "
Order of pole (three term test) = 22.271940429693778 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.529999999999905 " "
y[1] (analytic) = 0.7859880117124907 " "
y[1] (numeric) = 0.7859880117124748 " "
absolute error = 1.58761892521397390000000000000E-14 " "
relative error = 2.019902214227046700000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44030948414370863 " "
Order of pole (three term test) = 22.263087446147107 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.539999999999905 " "
y[1] (analytic) = 0.778795041332681 " "
y[1] (numeric) = 0.7787950413326646 " "
absolute error = 1.6320278461989800000000000000E-14 " "
relative error = 2.0955806850108336000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43548348998226705 " "
Order of pole (three term test) = 22.254329224463177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.549999999999905 " "
y[1] (analytic) = 0.7717241904310701 " "
y[1] (numeric) = 0.7717241904310539 " "
absolute error = 1.620925615952728500000000000000E-14 " "
relative error = 2.100394980552976000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4304833082312016 " "
Order of pole (three term test) = 22.2456692678139 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.559999999999905 " "
y[1] (analytic) = 0.7647761660868566 " "
y[1] (numeric) = 0.7647761660868402 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 2.1485110929288810000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4253109388965447 " "
Order of pole (three term test) = 22.237111040066456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.569999999999904 " "
y[1] (analytic) = 0.7579516630966846 " "
y[1] (numeric) = 0.7579516630966681 " "
absolute error = 1.654232306691483200000000000000E-14 " "
relative error = 2.182503696783193000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4199684508570659 " "
Order of pole (three term test) = 22.228657964397854 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.579999999999904 " "
y[1] (analytic) = 0.7512513639051661 " "
y[1] (numeric) = 0.7512513639051495 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 2.2167474389410327000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4144579810367492 " "
Order of pole (three term test) = 22.220313421925642 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.589999999999904 " "
y[1] (analytic) = 0.7446759385366367 " "
y[1] (numeric) = 0.74467593853662 " "
absolute error = 1.676436767183986400000000000000E-14 " "
relative error = 2.2512299383250564000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4087817335500505 " "
Order of pole (three term test) = 22.21208075035556 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.599999999999904 " "
y[1] (analytic) = 0.7382260445281539 " "
y[1] (numeric) = 0.7382260445281369 " "
absolute error = 1.698641227676489500000000000000E-14 " "
relative error = 2.3009771062225207000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40294197882028193 " "
Order of pole (three term test) = 22.20396324264646 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.6099999999999035 " "
y[1] (analytic) = 0.7319023268637433 " "
y[1] (numeric) = 0.7319023268637262 " "
absolute error = 1.70974345792274100000000000000E-14 " "
relative error = 2.336026810092435000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3969410526714738 " "
Order of pole (three term test) = 22.195964145693203 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.619999999999903 " "
y[1] (analytic) = 0.7257054179099018 " "
y[1] (numeric) = 0.7257054179098846 " "
absolute error = 1.720845688168992600000000000000E-14 " "
relative error = 2.371273034071022800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3907813553940738 " "
Order of pole (three term test) = 22.188086659027906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.629999999999903 " "
y[1] (analytic) = 0.7196359373523606 " "
y[1] (numeric) = 0.7196359373523434 " "
absolute error = 1.720845688168992600000000000000E-14 " "
relative error = 2.3912725849965472000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38446535078486455 " "
Order of pole (three term test) = 22.18033393354021 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.639999999999903 " "
y[1] (analytic) = 0.713694492134118 " "
y[1] (numeric) = 0.7136944921341005 " "
absolute error = 1.743050148661495800000000000000E-14 " "
relative error = 2.4422917198777266000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37799556516147775 " "
Order of pole (three term test) = 22.172709070216946 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.649999999999903 " "
y[1] (analytic) = 0.7078816763947438 " "
y[1] (numeric) = 0.7078816763947264 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 2.446663017520232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3713745863519 " "
Order of pole (three term test) = 22.16521511890177 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.659999999999902 " "
y[1] (analytic) = 0.7021980714109688 " "
y[1] (numeric) = 0.7021980714109513 " "
absolute error = 1.754152378907747300000000000000E-14 " "
relative error = 2.4980877195846232000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3646050626593769 " "
Order of pole (three term test) = 22.1578550770753 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.669999999999902 " "
y[1] (analytic) = 0.6966442455385546 " "
y[1] (numeric) = 0.696644245538537 " "
absolute error = 1.76525460915399900000000000000E-14 " "
relative error = 2.533939841546145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3576897018031258 " "
Order of pole (three term test) = 22.150631888656115 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.679999999999902 " "
y[1] (analytic) = 0.6912207541554605 " "
y[1] (numeric) = 0.6912207541554426 " "
absolute error = 1.78745906964650200000000000000E-14 " "
relative error = 2.585945313274679000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.35063126983528603 " "
Order of pole (three term test) = 22.143548442823302 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.689999999999902 " "
y[1] (analytic) = 0.685928139606305 " "
y[1] (numeric) = 0.685928139606287 " "
absolute error = 1.809663530139005200000000000000E-14 " "
relative error = 2.6382698502173690000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3434325900345334 " "
Order of pole (three term test) = 22.136607572860726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.699999999999902 " "
y[1] (analytic) = 0.6807669311481326 " "
y[1] (numeric) = 0.6807669311481145 " "
absolute error = 1.809663530139005200000000000000E-14 " "
relative error = 2.6582717922078800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33609654177680703 " "
Order of pole (three term test) = 22.129812055023837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.709999999999901 " "
y[1] (analytic) = 0.6757376448974879 " "
y[1] (numeric) = 0.6757376448974699 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 2.661626614224819000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3286260593835975 " "
Order of pole (three term test) = 22.123164607429175 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.719999999999901 " "
y[1] (analytic) = 0.6708407837788056 " "
y[1] (numeric) = 0.6708407837787873 " "
absolute error = 1.831867990631508300000000000000E-14 " "
relative error = 2.730704564968019000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3210241309482569 " "
Order of pole (three term test) = 22.116667888967136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.729999999999901 " "
y[1] (analytic) = 0.6660768374741163 " "
y[1] (numeric) = 0.6660768374740978 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 2.766903331853778000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3132937971408015 " "
Order of pole (three term test) = 22.110324498238477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.739999999999900 " "
y[1] (analytic) = 0.6614462823740804 " "
y[1] (numeric) = 0.6614462823740621 " "
absolute error = 1.831867990631508300000000000000E-14 " "
relative error = 2.7694886787427680000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30543814999168484 " "
Order of pole (three term test) = 22.104136972514915 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.7499999999999005 " "
y[1] (analytic) = 0.6569495815303498 " "
y[1] (numeric) = 0.6569495815303312 " "
absolute error = 1.854072451124011400000000000000E-14 " "
relative error = 2.822244664202373000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.297460331655026 " "
Order of pole (three term test) = 22.098107786724253 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.7599999999999 " "
y[1] (analytic) = 0.652587184609261 " "
y[1] (numeric) = 0.6525871846092424 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 2.8581233670517800000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2893635331517902 " "
Order of pole (three term test) = 22.092239352460403 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.7699999999999 " "
y[1] (analytic) = 0.648359527846871 " "
y[1] (numeric) = 0.6483595278468522 " "
absolute error = 1.876276911616514600000000000000E-14 " "
relative error = 2.893883456679381000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.28115099309342206 " "
Order of pole (three term test) = 22.08653401701883 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.7799999999999 " "
y[1] (analytic) = 0.644267034005333 " "
y[1] (numeric) = 0.6442670340053142 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 2.929498239463146400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2728259963864467 " "
Order of pole (three term test) = 22.080994062457645 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.7899999999999 " "
y[1] (analytic) = 0.6403101123306207 " "
y[1] (numeric) = 0.6403101123306019 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 2.9476016472596767000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.26439187291854854 " "
Order of pole (three term test) = 22.075621704684814 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.7999999999998995 " "
y[1] (analytic) = 0.6364891585116041 " "
y[1] (numeric) = 0.6364891585115854 " "
absolute error = 1.876276911616514600000000000000E-14 " "
relative error = 2.9478536853700504000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2558519962266609 " "
Order of pole (three term test) = 22.0704190925718 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.809999999999900 " "
y[1] (analytic) = 0.6328045546404815 " "
y[1] (numeric) = 0.6328045546404625 " "
absolute error = 1.898481372109017700000000000000E-14 " "
relative error = 3.0001069969978517000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2472097821475971 " "
Order of pole (three term test) = 22.065388307094093 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.819999999999899 " "
y[1] (analytic) = 0.6292566691745687 " "
y[1] (numeric) = 0.6292566691745497 " "
absolute error = 1.898481372109017700000000000000E-14 " "
relative error = 3.0170222503948385000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2384686874517602 " "
Order of pole (three term test) = 22.060531360498796 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.829999999999899 " "
y[1] (analytic) = 0.6258458568994562 " "
y[1] (numeric) = 0.6258458568994372 " "
absolute error = 1.898481372109017700000000000000E-14 " "
relative error = 3.033464791976747000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22963220846048327 " "
Order of pole (three term test) = 22.0558501954998 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.839999999999899 " "
y[1] (analytic) = 0.6225724588935292 " "
y[1] (numeric) = 0.6225724588935101 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 3.0672471534463450000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22070387964754384 " "
Order of pole (three term test) = 22.051346684500686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.849999999999898 " "
y[1] (analytic) = 0.6194368024938604 " "
y[1] (numeric) = 0.6194368024938413 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 3.0827738918115000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2116872722254245 " "
Order of pole (three term test) = 22.047022628845813 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.859999999999898 " "
y[1] (analytic) = 0.6164392012634768 " "
y[1] (numeric) = 0.6164392012634575 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 3.1337852279483640000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2025859927168746 " "
Order of pole (three term test) = 22.042879758099776 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.869999999999898 " "
y[1] (analytic) = 0.6135799549600033 " "
y[1] (numeric) = 0.6135799549599839 " "
absolute error = 1.94289029309402400000000000000E-14 " "
relative error = 3.166482668457891000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.19340368151234824 " "
Order of pole (three term test) = 22.038919729355644 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.879999999999898 " "
y[1] (analytic) = 0.6108593495056874 " "
y[1] (numeric) = 0.610859349505668 " "
absolute error = 1.94289029309402400000000000000E-14 " "
relative error = 3.180585342053334000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18414401141389858 " "
Order of pole (three term test) = 22.035144126572114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.8899999999998975 " "
y[1] (analytic) = 0.6082776569588078 " "
y[1] (numeric) = 0.6082776569587883 " "
absolute error = 1.94289029309402400000000000000E-14 " "
relative error = 3.194084594209574000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17481068616610404 " "
Order of pole (three term test) = 22.03155445993997 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.899999999999897 " "
y[1] (analytic) = 0.6058351354864675 " "
y[1] (numeric) = 0.605835135486448 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.2252875557824456000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16540743897462104 " "
Order of pole (three term test) = 22.028152165277984 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.909999999999897 " "
y[1] (analytic) = 0.6035320293387783 " "
y[1] (numeric) = 0.6035320293387587 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.237595402320311300000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.15593803101295078 " "
Order of pole (three term test) = 22.02493860345866 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.919999999999897 " "
y[1] (analytic) = 0.6013685688244358 " "
y[1] (numeric) = 0.6013685688244162 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.2492428514512640000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.14640624991802215 " "
Order of pole (three term test) = 22.0219150598639 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.929999999999897 " "
y[1] (analytic) = 0.5993449702876886 " "
y[1] (numeric) = 0.599344970287669 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.2787373733081826000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13681590827518356 " "
Order of pole (three term test) = 22.0190827438708 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.9399999999998965 " "
y[1] (analytic) = 0.597461436086704 " "
y[1] (numeric) = 0.5974614360866843 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.289073796055602000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12717084209322224 " "
Order of pole (three term test) = 22.016442788368014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.949999999999896 " "
y[1] (analytic) = 0.5957181545733324 " "
y[1] (numeric) = 0.5957181545733128 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.2986987864990863000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11747490927001267 " "
Order of pole (three term test) = 22.013996249302533 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.959999999999896 " "
y[1] (analytic) = 0.5941153000742726 " "
y[1] (numeric) = 0.594115300074253 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.3075982950462030000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10773198804940573 " "
Order of pole (three term test) = 22.011744105257378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.969999999999896 " "
y[1] (analytic) = 0.5926530328736386 " "
y[1] (numeric) = 0.5926530328736189 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.315759212533231000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.79459754699873600E-2 " "
Order of pole (three term test) = 22.00968725706011 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.979999999999896 " "
y[1] (analytic) = 0.5913314991969321 " "
y[1] (numeric) = 0.5913314991969123 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.341944385706811000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.81207858063096100E-2 " "
Order of pole (three term test) = 22.007826527422615 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.989999999999895 " "
y[1] (analytic) = 0.5901508311964193 " "
y[1] (numeric) = 0.5901508311963996 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.3486303490014796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.82603490032368600E-2 " "
Order of pole (three term test) = 22.006162660611924 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 6.999999999999895 " "
y[1] (analytic) = 0.5891111469379163 " "
y[1] (numeric) = 0.5891111469378967 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.335694399606428000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.83686091040204200E-2 " "
Order of pole (three term test) = 22.004696322152576 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.009999999999895 " "
y[1] (analytic) = 0.588212550388983 " "
y[1] (numeric) = 0.5882125503889633 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.3596647717324735000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.844952267273189000E-2 " "
Order of pole (three term test) = 22.003428098560416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.019999999999895 " "
y[1] (analytic) = 0.587455131408525 " "
y[1] (numeric) = 0.5874551314085054 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.3450976057948006000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.85070572116906800E-2 " "
Order of pole (three term test) = 22.00235849710794 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.0299999999998946 " "
y[1] (analytic) = 0.5868389657378096 " "
y[1] (numeric) = 0.5868389657377898 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.3675285712293895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.85451895745174800E-2 " "
Order of pole (three term test) = 22.001487945621513 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.039999999999894 " "
y[1] (analytic) = 0.5863641149928899 " "
y[1] (numeric) = 0.5863641149928702 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.3513216503884374000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.856790437544294300E-2 " "
Order of pole (three term test) = 22.000816792310083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.049999999999894 " "
y[1] (analytic) = 0.5860306266584449 " "
y[1] (numeric) = 0.5860306266584253 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.334283968197992000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.857919239551891800E-2 " "
Order of pole (three term test) = 22.00034530562604 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.059999999999894 " "
y[1] (analytic) = 0.5858385340830304 " "
y[1] (numeric) = 0.5858385340830107 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.3732792721222630000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.583048986355565000E-3 " "
Order of pole (three term test) = 22.000073674157786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.069999999999894 " "
y[1] (analytic) = 0.5857878564757435 " "
y[1] (numeric) = 0.5857878564757237 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.3735711008454640000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.4165275279627793000E-3 " "
Order of pole (three term test) = 22.00000200655427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.0799999999998935 " "
y[1] (analytic) = 0.5858785989043028 " "
y[1] (numeric) = 0.5858785989042831 " "
absolute error = 1.976196983832778600000000000000E-14 " "
relative error = 3.3730485932215620000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 1.141553745015696400E-2 " "
Order of pole (three term test) = 22.000130331481568 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.089999999999893 " "
y[1] (analytic) = 0.5861107522945409 " "
y[1] (numeric) = 0.5861107522945214 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.333828147138865000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 2.14099813095765600E-2 " "
Order of pole (three term test) = 22.000458597611445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.099999999999893 " "
y[1] (analytic) = 0.5864842934313127 " "
y[1] (numeric) = 0.5864842934312932 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.3317047791819870000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 3.13958614619343930E-2 " "
Order of pole (three term test) = 22.000986673641812 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.109999999999893 " "
y[1] (analytic) = 0.5869991849608155 " "
y[1] (numeric) = 0.586999184960796 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 3.3287823448523396000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 4.13691836883137700E-2 " "
Order of pole (three term test) = 22.0017143483493 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.119999999999893 " "
y[1] (analytic) = 0.5876553753943256 " "
y[1] (numeric) = 0.5876553753943059 " "
absolute error = 1.96509475358652700000000000000E-14 " "
relative error = 3.3439577614140250000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 5.13259587927991300E-2 " "
Order of pole (three term test) = 22.002641330673725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.129999999999892 " "
y[1] (analytic) = 0.5884527991133459 " "
y[1] (numeric) = 0.5884527991133265 " "
absolute error = 1.94289029309402400000000000000E-14 " "
relative error = 3.3016926693551010000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 6.12622041981049400E-2 " "
Order of pole (three term test) = 22.00376724983452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.139999999999892 " "
y[1] (analytic) = 0.5893913763761698 " "
y[1] (numeric) = 0.5893913763761504 " "
absolute error = 1.94289029309402400000000000000E-14 " "
relative error = 3.296434883455106000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 7.11739455385496100E-2 " "
Order of pole (three term test) = 22.005091655479045 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.149999999999892 " "
y[1] (analytic) = 0.5904710133258527 " "
y[1] (numeric) = 0.5904710133258333 " "
absolute error = 1.94289029309402400000000000000E-14 " "
relative error = 3.290407571661499400000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 8.10572182497525800E-2 " "
Order of pole (three term test) = 22.006614017862674 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.159999999999892 " "
y[1] (analytic) = 0.5916916019995994 " "
y[1] (numeric) = 0.59169160199958 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 3.2648563142004516000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 9.09080691544034800E-2 " "
Order of pole (three term test) = 22.008333728060773 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.169999999999892 " "
y[1] (analytic) = 0.5930530203395598 " "
y[1] (numeric) = 0.5930530203395404 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 3.2573614779698845000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.10072255804348383 " "
Order of pole (three term test) = 22.010250098212182 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.179999999999891 " "
y[1] (analytic) = 0.5945551322050342 " "
y[1] (numeric) = 0.594555132205015 " "
absolute error = 1.920685832601520800000000000000E-14 " "
relative error = 3.2304587557393520000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.11049675925229736 " "
Order of pole (three term test) = 22.012362361794395 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.189999999999891 " "
y[1] (analytic) = 0.5961977873860882 " "
y[1] (numeric) = 0.5961977873860689 " "
absolute error = 1.931788062847772400000000000000E-14 " "
relative error = 3.2401798593002445000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12022676323067973 " "
Order of pole (three term test) = 22.01466967393014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.199999999999891 " "
y[1] (analytic) = 0.5979808216185719 " "
y[1] (numeric) = 0.5979808216185528 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 3.1933860306531975000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.12990867810677248 " "
Order of pole (three term test) = 22.01717111172534 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.209999999999890 " "
y[1] (analytic) = 0.5999040566005486 " "
y[1] (numeric) = 0.5999040566005295 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 3.1831483407133926000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.13953863124371466 " "
Order of pole (three term test) = 22.0198656746382 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.2199999999998905 " "
y[1] (analytic) = 0.6019673000101224 " "
y[1] (numeric) = 0.6019673000101033 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 3.1722380971909240000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1491127707886499 " "
Order of pole (three term test) = 22.02275228487951 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.22999999999989 " "
y[1] (analytic) = 0.604170345524672 " "
y[1] (numeric) = 0.6041703455246529 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 3.1606708546692310000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1586272672134133 " "
Order of pole (three term test) = 22.02582978784364 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.23999999999989 " "
y[1] (analytic) = 0.6065129728414816 " "
y[1] (numeric) = 0.6065129728414624 " "
absolute error = 1.920685832601520800000000000000E-14 " "
relative error = 3.1667679317776304000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.16807831484629343 " "
Order of pole (three term test) = 22.02909695257046 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.24999999999989 " "
y[1] (analytic) = 0.6089949476997715 " "
y[1] (numeric) = 0.6089949476997525 " "
absolute error = 1.898481372109017700000000000000E-14 " "
relative error = 3.117400857395865000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.17746213339424985 " "
Order of pole (three term test) = 22.03255247223762 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.25999999999989 " "
y[1] (analytic) = 0.6116160219041246 " "
y[1] (numeric) = 0.6116160219041056 " "
absolute error = 1.898481372109017700000000000000E-14 " "
relative error = 3.104041267915998000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.18677496945497804 " "
Order of pole (three term test) = 22.036194964683336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.269999999999890 " "
y[1] (analytic) = 0.6143759333493043 " "
y[1] (numeric) = 0.6143759333492854 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 3.072026489666701000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.1960130980182243 " "
Order of pole (three term test) = 22.040022972959193 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.279999999999890 " "
y[1] (analytic) = 0.6172744060464664 " "
y[1] (numeric) = 0.6172744060464475 " "
absolute error = 1.898481372109017700000000000000E-14 " "
relative error = 3.0755873781782980000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20517282395573602 " "
Order of pole (three term test) = 22.044034965912925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.289999999999889 " "
y[1] (analytic) = 0.6203111501507562 " "
y[1] (numeric) = 0.6203111501507373 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 3.042632945424357000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.21425048349926723 " "
Order of pole (three term test) = 22.048229338800837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.299999999999889 " "
y[1] (analytic) = 0.6234858619902942 " "
y[1] (numeric) = 0.6234858619902753 " "
absolute error = 1.88737914186276600000000000000E-14 " "
relative error = 3.027140239937224000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22324244570603316 " "
Order of pole (three term test) = 22.0526044139297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.309999999999889 " "
y[1] (analytic) = 0.6267982240965417 " "
y[1] (numeric) = 0.626798224096523 " "
absolute error = 1.876276911616514600000000000000E-14 " "
relative error = 2.9934304844608550000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2321451139110431 " "
Order of pole (three term test) = 22.05715844132779 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.319999999999888 " "
y[1] (analytic) = 0.6302479052360487 " "
y[1] (numeric) = 0.63024790523603 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 2.9594301954430036000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24095492716571612 " "
Order of pole (three term test) = 22.06188959944488 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.329999999999888 " "
y[1] (analytic) = 0.6338345604435758 " "
y[1] (numeric) = 0.6338345604435571 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 2.942683781813601000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.249668361662212 " "
Order of pole (three term test) = 22.066795995880806 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.339999999999888 " "
y[1] (analytic) = 0.637557831056591 " "
y[1] (numeric) = 0.6375578310565725 " "
absolute error = 1.854072451124011400000000000000E-14 " "
relative error = 2.9080851348831444000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2582819321429098 " "
Order of pole (three term test) = 22.071875668142386 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.349999999999888 " "
y[1] (analytic) = 0.641417344751136 " "
y[1] (numeric) = 0.6414173447511174 " "
absolute error = 1.854072451124011400000000000000E-14 " "
relative error = 2.890586708164829000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2667921932944646 " "
Order of pole (three term test) = 22.077126584428477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.3599999999998875 " "
y[1] (analytic) = 0.6454127155790574 " "
y[1] (numeric) = 0.6454127155790389 " "
absolute error = 1.854072451124011400000000000000E-14 " "
relative error = 2.8726927845859950000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.27519574112588246 " "
Order of pole (three term test) = 22.082546644442548 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.369999999999887 " "
y[1] (analytic) = 0.6495435440066019 " "
y[1] (numeric) = 0.6495435440065834 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 2.837331288845861000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2834892143300778 " "
Order of pole (three term test) = 22.08813368023288 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.379999999999887 " "
y[1] (analytic) = 0.6538094169543691 " "
y[1] (numeric) = 0.6538094169543507 " "
absolute error = 1.8429702208777599000000000000E-14 " "
relative error = 2.8188187154948630000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.29166929562834687 " "
Order of pole (three term test) = 22.093885457059635 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.389999999999887 " "
y[1] (analytic) = 0.658209907838619 " "
y[1] (numeric) = 0.6582099078386008 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 2.7662387616803774000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2997327130972368 " "
Order of pole (three term test) = 22.099799674288775 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.399999999999887 " "
y[1] (analytic) = 0.6627445766139305 " "
y[1] (numeric) = 0.6627445766139123 " "
absolute error = 1.820765760385256700000000000000E-14 " "
relative error = 2.7473114449126750000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.30767624147727074 " "
Order of pole (three term test) = 22.105873966312277 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.4099999999998865 " "
y[1] (analytic) = 0.6674129698172048 " "
y[1] (numeric) = 0.6674129698171867 " "
absolute error = 1.809663530139005200000000000000E-14 " "
relative error = 2.711459938566443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.31549670346300906 " "
Order of pole (three term test) = 22.112105903494303 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.419999999999886 " "
y[1] (analytic) = 0.6722146206130117 " "
y[1] (numeric) = 0.6722146206129938 " "
absolute error = 1.798561299892753600000000000000E-14 " "
relative error = 2.675575991269863000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3231909709739287 " "
Order of pole (three term test) = 22.118492993143075 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.429999999999886 " "
y[1] (analytic) = 0.6771490488402733 " "
y[1] (numeric) = 0.6771490488402554 " "
absolute error = 1.78745906964650200000000000000E-14 " "
relative error = 2.6396833499328004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3307559664056142 " "
Order of pole (three term test) = 22.125032680507903 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.439999999999886 " "
y[1] (analytic) = 0.6822157610602788 " "
y[1] (numeric) = 0.6822157610602609 " "
absolute error = 1.78745906964650200000000000000E-14 " "
relative error = 2.6200788250164260000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.33818866386075824 " "
Order of pole (three term test) = 22.131722349801027 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.449999999999886 " "
y[1] (analytic) = 0.6874142506060283 " "
y[1] (numeric) = 0.6874142506060106 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 2.584114073623298000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3454860903594801 " "
Order of pole (three term test) = 22.13855932524393 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.459999999999885 " "
y[1] (analytic) = 0.6927439976328993 " "
y[1] (numeric) = 0.6927439976328819 " "
absolute error = 1.743050148661495800000000000000E-14 " "
relative error = 2.516153376452895000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3526453270284779 " "
Order of pole (three term test) = 22.145540872137595 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.469999999999885 " "
y[1] (analytic) = 0.6982044691706308 " "
y[1] (numeric) = 0.6982044691706134 " "
absolute error = 1.743050148661495800000000000000E-14 " "
relative error = 2.496475209807802200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3596635102685393 " "
Order of pole (three term test) = 22.152664197956337 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.479999999999885 " "
y[1] (analytic) = 0.7037951191766191 " "
y[1] (numeric) = 0.7037951191766019 " "
absolute error = 1.720845688168992600000000000000E-14 " "
relative error = 2.445094660761838200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3665378328999431 " "
Order of pole (three term test) = 22.159926453464827 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.489999999999885 " "
y[1] (analytic) = 0.7095153885905229 " "
y[1] (numeric) = 0.7095153885905056 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 2.4410293931126978000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3732655452852925 " "
Order of pole (three term test) = 22.167324733857665 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.4999999999998845 " "
y[1] (analytic) = 0.7153647053901669 " "
y[1] (numeric) = 0.71536470539015 " "
absolute error = 1.698641227676489500000000000000E-14 " "
relative error = 2.3745108122856493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3798439564293357 " "
Order of pole (three term test) = 22.174856079921355 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.509999999999884 " "
y[1] (analytic) = 0.7213424846487464 " "
y[1] (numeric) = 0.7213424846487295 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 2.3394421281757383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.38627043505532555 " "
Order of pole (three term test) = 22.18251747921788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.519999999999884 " "
y[1] (analytic) = 0.7274481285933164 " "
y[1] (numeric) = 0.7274481285932998 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 2.2892828663371936000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.392542410657497 " "
Order of pole (three term test) = 22.190305867289677 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.529999999999884 " "
y[1] (analytic) = 0.733681026664571 " "
y[1] (numeric) = 0.7336810266645544 " "
absolute error = 1.665334536937734800000000000000E-14 " "
relative error = 2.2698345417334923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3986573745292344 " "
Order of pole (three term test) = 22.19821812888535 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.539999999999884 " "
y[1] (analytic) = 0.7400405555778967 " "
y[1] (numeric) = 0.7400405555778802 " "
absolute error = 1.654232306691483200000000000000E-14 " "
relative error = 2.2353265563935149000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4046128807665213 " "
Order of pole (three term test) = 22.206251099205772 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.5499999999998835 " "
y[1] (analytic) = 0.7465260793857019 " "
y[1] (numeric) = 0.7465260793856855 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 2.201035063366203200000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.41040654724626774 " "
Order of pole (three term test) = 22.214401565169908 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.559999999999883 " "
y[1] (analytic) = 0.7531369495410104 " "
y[1] (numeric) = 0.7531369495409941 " "
absolute error = 1.6320278461989800000000000000E-14 " "
relative error = 2.166973546037807000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4160360565791299 " "
Order of pole (three term test) = 22.22266626670005 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.569999999999883 " "
y[1] (analytic) = 0.7598725049623156 " "
y[1] (numeric) = 0.7598725049622995 " "
absolute error = 1.60982338570647700000000000000E-14 " "
relative error = 2.118544065213036000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4214991570364342 " "
Order of pole (three term test) = 22.23104189802578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.579999999999883 " "
y[1] (analytic) = 0.7667320720996886 " "
y[1] (numeric) = 0.7667320720996726 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 2.08511057986937000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4267936634508376 " "
Order of pole (three term test) = 22.239525109006234 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.589999999999883 " "
y[1] (analytic) = 0.7737149650021318 " "
y[1] (numeric) = 0.7737149650021159 " "
absolute error = 1.58761892521397390000000000000E-14 " "
relative error = 2.051942895029308000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4319174580903672 " "
Order of pole (three term test) = 22.24811250647014 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.599999999999882 " "
y[1] (analytic) = 0.7808204853861738 " "
y[1] (numeric) = 0.7808204853861581 " "
absolute error = 1.565414464721470700000000000000E-14 " "
relative error = 2.0048327291864745000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4368684915054831 " "
Order of pole (three term test) = 22.256800655573002 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.609999999999882 " "
y[1] (analytic) = 0.7880479227056979 " "
y[1] (numeric) = 0.7880479227056822 " "
absolute error = 1.565414464721470700000000000000E-14 " "
relative error = 1.9864457726717288000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44164478334883245 " "
Order of pole (three term test) = 22.265586081171012 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.619999999999882 " "
y[1] (analytic) = 0.7953965542229945 " "
y[1] (numeric) = 0.7953965542229791 " "
absolute error = 1.543210004228967600000000000000E-14 " "
relative error = 1.9401768791122004000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4462444231673608 " "
Order of pole (three term test) = 22.27446526921108 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.629999999999882 " "
y[1] (analytic) = 0.8028656450810362 " "
y[1] (numeric) = 0.8028656450810208 " "
absolute error = 1.543210004228967600000000000000E-14 " "
relative error = 1.9221273368512434000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45066557116646855 " "
Order of pole (three term test) = 22.28343466813638 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.6399999999998816 " "
y[1] (analytic) = 0.8104544483769607 " "
y[1] (numeric) = 0.8104544483769457 " "
absolute error = 1.498801083243961300000000000000E-14 " "
relative error = 1.8493341436344798000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45490645894590387 " "
Order of pole (three term test) = 22.292490690306916 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.649999999999881 " "
y[1] (analytic) = 0.8181622052367633 " "
y[1] (numeric) = 0.8181622052367483 " "
absolute error = 1.498801083243961300000000000000E-14 " "
relative error = 1.831911904082921800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4589653902070994 " "
Order of pole (three term test) = 22.301629713434583 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.659999999999881 " "
y[1] (analytic) = 0.8259881448911804 " "
y[1] (numeric) = 0.8259881448911657 " "
absolute error = 1.476596622751458200000000000000E-14 " "
relative error = 1.7876729004942218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4628407414316691 " "
Order of pole (three term test) = 22.310848082031974 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.669999999999881 " "
y[1] (analytic) = 0.8339314847527686 " "
y[1] (numeric) = 0.8339314847527539 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 1.757331890328705000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46653096253079385 " "
Order of pole (three term test) = 22.32014210887456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.679999999999880 " "
y[1] (analytic) = 0.8419914304941608 " "
y[1] (numeric) = 0.8419914304941464 " "
absolute error = 1.443289932012703500000000000000E-14 " "
relative error = 1.7141385051456443000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4700345774652359 " "
Order of pole (three term test) = 22.329508076475516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.6899999999998805 " "
y[1] (analytic) = 0.8501671761274998 " "
y[1] (numeric) = 0.8501671761274855 " "
absolute error = 1.43218770176645200000000000000E-14 " "
relative error = 1.684595385451186000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4733501848357362 " "
Order of pole (three term test) = 22.3389422385727 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.69999999999988 " "
y[1] (analytic) = 0.8584579040850352 " "
y[1] (numeric) = 0.8584579040850211 " "
absolute error = 1.409983241273948800000000000000E-14 " "
relative error = 1.6424605499750655000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4764764584435538 " "
Order of pole (three term test) = 22.348440821627033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.70999999999988 " "
y[1] (analytic) = 0.8668627853008801 " "
y[1] (numeric) = 0.8668627853008662 " "
absolute error = 1.387778780781445700000000000000E-14 " "
relative error = 1.6009209350240597000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4794121478209288 " "
Order of pole (three term test) = 22.35800002633196 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.71999999999988 " "
y[1] (analytic) = 0.8753809792939171 " "
y[1] (numeric) = 0.8753809792939035 " "
absolute error = 1.365574320288942500000000000000E-14 " "
relative error = 1.5599771443405314000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4821560787312521 " "
Order of pole (three term test) = 22.367616029133043 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.72999999999988 " "
y[1] (analytic) = 0.8840116342518454 " "
y[1] (numeric) = 0.8840116342518318 " "
absolute error = 1.35447209004269100000000000000E-14 " "
relative error = 1.5321880816523467000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48470715363874484 " "
Order of pole (three term test) = 22.37728498375738 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.739999999999880 " "
y[1] (analytic) = 0.8927538871163612 " "
y[1] (numeric) = 0.8927538871163478 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 1.4923123256886367000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4870643521474582 " "
Order of pole (three term test) = 22.38700302275204 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.749999999999880 " "
y[1] (analytic) = 0.9016068636694633 " "
y[1] (numeric) = 0.9016068636694502 " "
absolute error = 1.310063169057684700000000000000E-14 " "
relative error = 1.4530314950419065000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48922673140941725 " "
Order of pole (three term test) = 22.396766259030986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.759999999999879 " "
y[1] (analytic) = 0.9105696786208739 " "
y[1] (numeric) = 0.910569678620861 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 1.4143439418230358000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4911934265017485 " "
Order of pole (three term test) = 22.406570787429885 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.769999999999879 " "
y[1] (analytic) = 0.919641435696567 " "
y[1] (numeric) = 0.9196414356965542 " "
absolute error = 1.2767564783189300000000000000E-14 " "
relative error = 1.3883198698543553000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49296365077263765 " "
Order of pole (three term test) = 22.416412686268114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.779999999999879 " "
y[1] (analytic) = 0.9288212277283945 " "
y[1] (numeric) = 0.9288212277283819 " "
absolute error = 1.254552017826427000000000000000E-14 " "
relative error = 1.3506926633176414000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49453669615597873 " "
Order of pole (three term test) = 22.42628801891735 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.789999999999878 " "
y[1] (analytic) = 0.9381081367448031 " "
y[1] (numeric) = 0.9381081367447908 " "
absolute error = 1.232347557333923800000000000000E-14 " "
relative error = 1.3136519224853113000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49591193345459206 " "
Order of pole (three term test) = 22.436192835376204 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.799999999999878 " "
y[1] (analytic) = 0.9475012340626303 " "
y[1] (numeric) = 0.9475012340626182 " "
absolute error = 1.210143096841420600000000000000E-14 " "
relative error = 1.2771942171015996000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4970888125918944 " "
Order of pole (three term test) = 22.446123173850154 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.809999999999878 " "
y[1] (analytic) = 0.956999580379972 " "
y[1] (numeric) = 0.95699958037996 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 1.2529168154066440000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49806686283192275 " "
Order of pole (three term test) = 22.45607506233622 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.819999999999878 " "
y[1] (analytic) = 0.9666022258701115 " "
y[1] (numeric) = 0.9666022258700997 " "
absolute error = 1.17683640610266600000000000000E-14 " "
relative error = 1.2174981337781493000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49884569296762105 " "
Order of pole (three term test) = 22.4660445202117 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.8299999999998775 " "
y[1] (analytic) = 0.9763082102765018 " "
y[1] (numeric) = 0.9763082102764904 " "
absolute error = 1.143529715363911200000000000000E-14 " "
relative error = 1.171279421116463000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4994249914773197 " "
Order of pole (three term test) = 22.476027559826353 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.839999999999877 " "
y[1] (analytic) = 0.9861165630087912 " "
y[1] (numeric) = 0.9861165630087798 " "
absolute error = 1.143529715363911200000000000000E-14 " "
relative error = 1.1596293564675848000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4998045266493386 " "
Order of pole (three term test) = 22.486020188097452 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.849999999999877 " "
y[1] (analytic) = 0.9960263032398795 " "
y[1] (numeric) = 0.9960263032398683 " "
absolute error = 1.121325254871408100000000000000E-14 " "
relative error = 1.1257988380667813000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49998414667466917 " "
Order of pole (three term test) = 22.49601840810691 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.859999999999877 " "
y[1] (analytic) = 1.0060364400040016 " "
y[1] (numeric) = 1.006036440003991 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 1.059418984501109000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999637797076959 " "
Order of pole (three term test) = 22.506018220700035 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.869999999999877 " "
y[1] (analytic) = 1.0161459722958237 " "
y[1] (numeric) = 1.0161459722958128 " "
absolute error = 1.088018564132653400000000000000E-14 " "
relative error = 1.0707305778858178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49974343389493486 " "
Order of pole (three term test) = 22.516015626085135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.879999999999876 " "
y[1] (analytic) = 1.0263538891705397 " "
y[1] (numeric) = 1.0263538891705295 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 9.9517836238785530000000000000E-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 = 0.4993231973717726 " "
Order of pole (three term test) = 22.52600662543333 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.889999999999876 " "
y[1] (analytic) = 1.0366591698449708 " "
y[1] (numeric) = 1.03665916984496 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 1.0281239337317968000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49870323822721563 " "
Order of pole (three term test) = 22.53598722247811 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.899999999999876 " "
y[1] (analytic) = 1.047060783799635 " "
y[1] (numeric) = 1.0470607837996249 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 9.7549750545389480000000000000E-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 = 0.49788380443665564 " "
Order of pole (three term test) = 22.545953425113716 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.909999999999876 " "
y[1] (analytic) = 1.0575576908818065 " "
y[1] (numeric) = 1.0575576908817963 " "
absolute error = 1.02140518265514400000000000000E-14 " "
relative error = 9.6581509591545970000000000000E-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 = 0.4968652237626833 " "
Order of pole (three term test) = 22.555901246991986 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.919999999999876 " "
y[1] (analytic) = 1.0681488414095233 " "
y[1] (numeric) = 1.0681488414095135 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 9.1466303551937480000000000000E-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 = 0.4956479036239869 " "
Order of pole (three term test) = 22.56582670911679 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.929999999999875 " "
y[1] (analytic) = 1.0788331762765593 " "
y[1] (numeric) = 1.0788331762765497 " "
absolute error = 9.547918011776346000000000000000E-15 " "
relative error = 8.8502265426519790000000000000E-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 = 0.4942323309323918 " "
Order of pole (three term test) = 22.575725841435634 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.939999999999875 " "
y[1] (analytic) = 1.0896096270583313 " "
y[1] (numeric) = 1.089609627058322 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 8.5589124538379860000000000000E-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 = 0.4926190718981001 " "
Order of pole (three term test) = 22.585594684427562 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.949999999999875 " "
y[1] (analytic) = 1.100477116118741 " "
y[1] (numeric) = 1.1004771161187321 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 8.0708486045819000000000000000E-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 = 0.4908087718032161 " "
Order of pole (three term test) = 22.595429290686972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.959999999999875 " "
y[1] (analytic) = 1.1114345567179393 " "
y[1] (numeric) = 1.1114345567179305 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 7.991279507476461000000000000E-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 = 0.48880215474364047 " "
Order of pole (three term test) = 22.60522572650248 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.9699999999998745 " "
y[1] (analytic) = 1.1224808531209969 " "
y[1] (numeric) = 1.1224808531209884 " "
absolute error = 8.43769498715119000000000000000E-15 " "
relative error = 7.5170057143430460000000000000E-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 = 0.48660002333944236 " "
Order of pole (three term test) = 22.614980073430374 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.979999999999874 " "
y[1] (analytic) = 1.1336149007074794 " "
y[1] (numeric) = 1.1336149007074707 " "
absolute error = 8.659739592076221000000000000000E-15 " "
relative error = 7.6390488398412460000000000000E-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 = 0.4842032584138224 " "
Order of pole (three term test) = 22.624688429861944 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.989999999999874 " "
y[1] (analytic) = 1.1448355860819053 " "
y[1] (numeric) = 1.144835586081897 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 7.1762709703525800000000000000E-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 = 0.4816128186407943 " "
Order of pole (three term test) = 22.634346912584054 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 7.999999999999874 " "
y[1] (analytic) = 1.1561417871850885 " "
y[1] (numeric) = 1.1561417871850805 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 6.91403586126190000000000000E-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 = 0.47882974016172875 " "
Order of pole (three term test) = 22.643951658332416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.009999999999874 " "
y[1] (analytic) = 1.1675323734063405 " "
y[1] (numeric) = 1.1675323734063328 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 6.6563988711526120000000000000E-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 = 0.4758551361709096 " "
Order of pole (three term test) = 22.65349882533676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.019999999999873 " "
y[1] (analytic) = 1.1790062056965314 " "
y[1] (numeric) = 1.1790062056965236 " "
absolute error = 7.771561172376096000000000000000E-15 " "
relative error = 6.5916202432410650000000000000E-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 = 0.4726901964702728 " "
Order of pole (three term test) = 22.662984594857598 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.029999999999873 " "
y[1] (analytic) = 1.1905621366819932 " "
y[1] (numeric) = 1.1905621366819856 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 6.3411361195233340000000000000E-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 = 0.4693361869934996 " "
Order of pole (three term test) = 22.67240517271359 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.039999999999873 " "
y[1] (analytic) = 1.202199010779257 " "
y[1] (numeric) = 1.2021990107792502 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 5.7256599705686070000000000000E-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 = 0.46579444929966174 " "
Order of pole (three term test) = 22.681756790799202 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.049999999999873 " "
y[1] (analytic) = 1.2139156643106115 " "
y[1] (numeric) = 1.2139156643106048 " "
absolute error = 6.661338147750939000000000000000E-15 " "
relative error = 5.4874801797157340000000000000E-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 = 0.46206640003661364 " "
Order of pole (three term test) = 22.691035708591887 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.059999999999873 " "
y[1] (analytic) = 1.2257109256204666 " "
y[1] (numeric) = 1.2257109256204604 " "
absolute error = 6.217248937900877000000000000000E-15 " "
relative error = 5.0723615233776640000000000000E-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 = 0.4581535303743542 " "
Order of pole (three term test) = 22.700238214648245 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.069999999999872 " "
y[1] (analytic) = 1.2375836151925208 " "
y[1] (numeric) = 1.237583615192515 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 4.6648643834483305000000000000E-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 = 0.4540574054085773 " "
Order of pole (three term test) = 22.709360628088547 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.079999999999872 " "
y[1] (analytic) = 1.2495325457677113 " "
y[1] (numeric) = 1.2495325457677056 " "
absolute error = 5.773159728050814000000000000000E-15 " "
relative error = 4.6202555888640673000000000000E-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 = 0.4497796635346548 " "
Order of pole (three term test) = 22.718399300069052 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.089999999999872 " "
y[1] (analytic) = 1.2615565224629375 " "
y[1] (numeric) = 1.261556522462932 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 4.4002111869615940000000000000E-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 = 0.4453220157923009 " "
Order of pole (three term test) = 22.72735061524148 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.099999999999872 " "
y[1] (analytic) = 1.2736543428905494 " "
y[1] (numeric) = 1.2736543428905445 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 3.83540584273772360000000000000E-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 = 0.4406862451811778 " "
Order of pole (three term test) = 22.73621099319912 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.109999999999872 " "
y[1] (analytic) = 1.2858247972785868 " "
y[1] (numeric) = 1.285824797278582 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 3.7991033604964064000000000000E-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 = 0.43587420594772025 " "
Order of pole (three term test) = 22.74497688990891 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.119999999999871 " "
y[1] (analytic) = 1.2980666685917521 " "
y[1] (numeric) = 1.2980666685917475 " "
absolute error = 4.6629367034256575000000000000000E-15 " "
relative error = 3.592216652850650000000000000E-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 = 0.4308878228434624 " "
Order of pole (three term test) = 22.75364479912906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.129999999999871 " "
y[1] (analytic) = 1.3103787326531156 " "
y[1] (numeric) = 1.3103787326531113 " "
absolute error = 4.218847493575595000000000000000E-15 " "
relative error = 3.2195634654675150000000000000E-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 = 0.4257290903551616 " "
Order of pole (three term test) = 22.762211253811433 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.139999999999871 " "
y[1] (analytic) = 1.3227597582665314 " "
y[1] (numeric) = 1.3227597582665274 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 3.02156371455414500000000000000E-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 = 0.42040007190703094 " "
Order of pole (three term test) = 22.77067282748839 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.14999999999987 " "
y[1] (analytic) = 1.3352085073397557 " "
y[1] (numeric) = 1.3352085073397517 " "
absolute error = 3.9968028886505635000000000000000E-15 " "
relative error = 2.99339231788877560000000000000E-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 = 0.41490289903539684 " "
Order of pole (three term test) = 22.77902613564328 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.15999999999987 " "
y[1] (analytic) = 1.347723735008255 " "
y[1] (numeric) = 1.3477237350082512 " "
absolute error = 3.774758283725532000000000000000E-15 " "
relative error = 2.8008398054237810000000000000E-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 = 0.4092397705361136 " "
Order of pole (three term test) = 22.78726783706421 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.16999999999987 " "
y[1] (analytic) = 1.3603041897596913 " "
y[1] (numeric) = 1.360304189759688 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 2.4484737303234058000000000000E-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 = 0.4034129515850734 " "
Order of pole (three term test) = 22.7953946351805 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.17999999999987 " "
y[1] (analytic) = 1.3729486135590734 " "
y[1] (numeric) = 1.3729486135590707 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.94073924747492350000000000000E-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 = 0.39742477283216704 " "
Order of pole (three term test) = 22.80340327938125 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.18999999999987 " "
y[1] (analytic) = 1.3856557419745592 " "
y[1] (numeric) = 1.3856557419745565 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.92294173681510060000000000000E-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 = 0.3912776294690537 " "
Order of pole (three term test) = 22.81129056631558 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.19999999999987 " "
y[1] (analytic) = 1.3984243043038953 " "
y[1] (numeric) = 1.398424304303893 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.58781997882652760000000000000E-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 = 0.3849739802711187 " "
Order of pole (three term test) = 22.81905334117387 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.20999999999987 " "
y[1] (analytic) = 1.41125302370149 " "
y[1] (numeric) = 1.4112530237014878 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.57338621208154420000000000000E-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 = 0.3785163466139931 " "
Order of pole (three term test) = 22.826688498949686 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.21999999999987 " "
y[1] (analytic) = 1.424140617306093 " "
y[1] (numeric) = 1.4241406173060915 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 1.09140362657120130000000000000E-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 = 0.3719073114650391 " "
Order of pole (three term test) = 22.8341929856817 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.229999999999869 " "
y[1] (analytic) = 1.4370857963690848 " "
y[1] (numeric) = 1.4370857963690835 " "
absolute error = 1.3322676295501878000000000000000E-15 " "
relative error = 9.27061997910125800000000000000E-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 = 0.365149518350197 " "
Order of pole (three term test) = 22.84156379967529 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.239999999999869 " "
y[1] (analytic) = 1.450087266383346 " "
y[1] (numeric) = 1.4500872663833448 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 7.65624973312231800000000000000E-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 = 0.35824567029661025 " "
Order of pole (three term test) = 22.84879799270313 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.249999999999869 " "
y[1] (analytic) = 1.4631437272127097 " "
y[1] (numeric) = 1.4631437272127088 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 6.07034294157899300000000000000E-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 = 0.35119852875145025 " "
Order of pole (three term test) = 22.855892671184467 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.259999999999868 " "
y[1] (analytic) = 1.4762538732219734 " "
y[1] (numeric) = 1.4762538732219728 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.51232560237918100000000000000E-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 = 0.3440109124773744 " "
Order of pole (three term test) = 22.862844997342503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.269999999999868 " "
y[1] (analytic) = 1.4894163934074607 " "
y[1] (numeric) = 1.489416393407461 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.490816174092468300000000000000E-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 = 0.3366856964250587 " "
Order of pole (three term test) = 22.869652190339476 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.279999999999868 " "
y[1] (analytic) = 1.502629971528123 " "
y[1] (numeric) = 1.5026299715281233 " "
absolute error = 2.2204460492503130000000000000000E-16 " "
relative error = 1.477706482183498400000000000000E-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 = 0.3292258105832553 " "
Order of pole (three term test) = 22.87631152738894 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.289999999999868 " "
y[1] (analytic) = 1.5158932862371586 " "
y[1] (numeric) = 1.5158932862371592 " "
absolute error = 6.6613381477509390000000000000000E-16 " "
relative error = 4.394331849233341000000000000000E-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 = 0.3216342388068373 " "
Order of pole (three term test) = 22.882820344844873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.299999999999867 " "
y[1] (analytic) = 1.5292050112141498 " "
y[1] (numeric) = 1.5292050112141506 " "
absolute error = 8.8817841970012520000000000000000E-16 " "
relative error = 5.80810560511395500000000000000E-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 = 0.31391401762329657 " "
Order of pole (three term test) = 22.88917603926707 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.309999999999867 " "
y[1] (analytic) = 1.5425638152976915 " "
y[1] (numeric) = 1.5425638152976926 " "
absolute error = 1.1102230246251565000000000000000E-15 " "
relative error = 7.1972583151180700000000000000E-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 = 0.3060682350181708 " "
Order of pole (three term test) = 22.895376068462497 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.319999999999867 " "
y[1] (analytic) = 1.5559683626185077 " "
y[1] (numeric) = 1.5559683626185092 " "
absolute error = 1.5543122344752192000000000000000E-15 " "
relative error = 9.98935628652178100000000000000E-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 = 0.29810002919989315 " "
Order of pole (three term test) = 22.90141795250216 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.329999999999867 " "
y[1] (analytic) = 1.5694173127330373 " "
y[1] (numeric) = 1.569417312733039 " "
absolute error = 1.7763568394002505000000000000000E-15 " "
relative error = 1.13185755311112340000000000000E-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 = 0.29001258734454943 " "
Order of pole (three term test) = 22.90729927471298 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.339999999999867 " "
y[1] (analytic) = 1.5829093207574756 " "
y[1] (numeric) = 1.5829093207574778 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.4027626346831760000000000000E-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 = 0.28180914432105114 " "
Order of pole (three term test) = 22.9130176826445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.349999999999866 " "
y[1] (analytic) = 1.5964430375022642 " "
y[1] (numeric) = 1.5964430375022665 " "
absolute error = 2.220446049250313000000000000000E-15 " "
relative error = 1.39087082789019570000000000000E-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 = 0.2734929813972295 " "
Order of pole (three term test) = 22.9185708890098 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.359999999999866 " "
y[1] (analytic) = 1.6100171096070057 " "
y[1] (numeric) = 1.6100171096070084 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.65497325662009300000000000000E-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 = 0.26506742492737334 " "
Order of pole (three term test) = 22.923956672600358 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.369999999999866 " "
y[1] (analytic) = 1.6236301796758026 " "
y[1] (numeric) = 1.623630179675805 " "
absolute error = 2.4424906541753444000000000000000E-15 " "
relative error = 1.50433927919660070000000000000E-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 = 0.2565358450217314 " "
Order of pole (three term test) = 22.92917287917457 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.379999999999866 " "
y[1] (analytic) = 1.6372808864129909 " "
y[1] (numeric) = 1.6372808864129935 " "
absolute error = 2.6645352591003757000000000000000E-15 " "
relative error = 1.62741486889151160000000000000E-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 = 0.24790165419851312 " "
Order of pole (three term test) = 22.934217422319325 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.389999999999866 " "
y[1] (analytic) = 1.6509678647592725 " "
y[1] (numeric) = 1.6509678647592758 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 2.01740393921060020000000000000E-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 = 0.23916830601892652 " "
Order of pole (three term test) = 22.939088284284647 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.399999999999865 " "
y[1] (analytic) = 1.6646897460282197 " "
y[1] (numeric) = 1.664689746028223 " "
absolute error = 3.3306690738754696000000000000000E-15 " "
relative error = 2.00077466796567150000000000000E-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 = 0.23033929370580114 " "
Order of pole (three term test) = 22.943783516790692 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.409999999999865 " "
y[1] (analytic) = 1.6784451580431397 " "
y[1] (numeric) = 1.6784451580431432 " "
absolute error = 3.552713678800501000000000000000E-15 " "
relative error = 2.11666950318622700000000000000E-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 = 0.22141814874634272 " "
Order of pole (three term test) = 22.94830124180705 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.419999999999865 " "
y[1] (analytic) = 1.6922327252742932 " "
y[1] (numeric) = 1.6922327252742977 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.62427976493647130000000000000E-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 = 0.2124084394795887 " "
Order of pole (three term test) = 22.952639652303958 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.429999999999865 " "
y[1] (analytic) = 1.7060510689764483 " "
y[1] (numeric) = 1.7060510689764528 " "
absolute error = 4.440892098500626000000000000000E-15 " "
relative error = 2.60302412938022750000000000000E-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 = 0.2033137696691169 " "
Order of pole (three term test) = 22.956797012975056 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.439999999999864 " "
y[1] (analytic) = 1.7198988073267487 " "
y[1] (numeric) = 1.7198988073267536 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.84027251344132900000000000000E-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 = 0.19413777706159263 " "
Order of pole (three term test) = 22.96077166093151 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.449999999999864 " "
y[1] (analytic) = 1.7337745555629 " "
y[1] (numeric) = 1.733774555562905 " "
absolute error = 4.884981308350689000000000000000E-15 " "
relative error = 2.81754123837899700000000000000E-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 = 0.1848841319317119 " "
Order of pole (three term test) = 22.964562006367135 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.459999999999864 " "
y[1] (analytic) = 1.7476769261216407 " "
y[1] (numeric) = 1.747676926121646 " "
absolute error = 5.329070518200751000000000000000E-15 " "
relative error = 3.04923091822626800000000000000E-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 = 0.17555653561414783 " "
Order of pole (three term test) = 22.968166533194285 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.469999999999864 " "
y[1] (analytic) = 1.761604528777501 " "
y[1] (numeric) = 1.7616045287775066 " "
absolute error = 5.551115123125783000000000000000E-15 " "
relative error = 3.151169875214890000000000000E-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 = 0.1661587190230607 " "
Order of pole (three term test) = 22.9715837996503 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.479999999999864 " "
y[1] (analytic) = 1.7755559707818211 " "
y[1] (numeric) = 1.7755559707818271 " "
absolute error = 5.995204332975845000000000000000E-15 " "
relative error = 3.37652230153916700000000000000E-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 = 0.15669444115978462 " "
Order of pole (three term test) = 22.97481243887416 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.489999999999863 " "
y[1] (analytic) = 1.789529857002027 " "
y[1] (numeric) = 1.7895298570020335 " "
absolute error = 6.439293542825908000000000000000E-15 " "
relative error = 3.5983157909494520000000000000E-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 = 0.14716748760927553 " "
Order of pole (three term test) = 22.977851159453206 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.499999999999863 " "
y[1] (analytic) = 1.803524790061142 " "
y[1] (numeric) = 1.8035247900611484 " "
absolute error = 6.439293542825908000000000000000E-15 " "
relative error = 3.57039369700463460000000000000E-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 = 0.1375816690259302 " "
Order of pole (three term test) = 22.98069874593974 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.509999999999863 " "
y[1] (analytic) = 1.8175393704775216 " "
y[1] (numeric) = 1.8175393704775284 " "
absolute error = 6.8833827526759700000000000000000E-15 " "
relative error = 3.78719870638483100000000000000E-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 = 0.12794081960937206 " "
Order of pole (three term test) = 22.98335405933713 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.519999999999863 " "
y[1] (analytic) = 1.8315721968048033 " "
y[1] (numeric) = 1.8315721968048106 " "
absolute error = 7.327471962526033000000000000000E-15 " "
relative error = 4.00064598889898150000000000000E-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 = 0.11824879557082495 " "
Order of pole (three term test) = 22.985816037555423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.529999999999863 " "
y[1] (analytic) = 1.8456218657720487 " "
y[1] (numeric) = 1.8456218657720562 " "
absolute error = 7.549516567451064000000000000000E-15 " "
relative error = 4.09050017636900850000000000000E-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 = 0.10850947359067885 " "
Order of pole (three term test) = 22.988083695836146 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.539999999999862 " "
y[1] (analytic) = 1.8596869724240688 " "
y[1] (numeric) = 1.8596869724240768 " "
absolute error = 7.993605777301127000000000000000E-15 " "
relative error = 4.2983609047288240000000000000E-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 = 9.87267492678707800E-2 " "
Order of pole (three term test) = 22.990156127146232 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.549999999999862 " "
y[1] (analytic) = 1.8737661102619194 " "
y[1] (numeric) = 1.8737661102619276 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 4.3845655747705653000000000000E-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 = 8.89045355616943300E-2 " "
Order of pole (three term test) = 22.9920325025408 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.559999999999862 " "
y[1] (analytic) = 1.8878578713835497 " "
y[1] (numeric) = 1.8878578713835579 " "
absolute error = 8.215650382226158000000000000000E-15 " "
relative error = 4.351837342609470300000000000E-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 = 7.90467612266706700E-2 " "
Order of pole (three term test) = 22.993712071494684 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.569999999999862 " "
y[1] (analytic) = 1.9019608466245894 " "
y[1] (numeric) = 1.9019608466245983 " "
absolute error = 8.881784197001252000000000000000E-15 " "
relative error = 4.6698039093516347000000000000E-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 = 6.91573692411002200E-2 " "
Order of pole (three term test) = 22.995194162202715 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.579999999999862 " "
y[1] (analytic) = 1.9160736256992679 " "
y[1] (numeric) = 1.9160736256992772 " "
absolute error = 9.325873406851315000000000000000E-15 " "
relative error = 4.8671790487423740000000000000E-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 = 5.92403152299187300E-2 " "
Order of pole (three term test) = 22.99647818184837 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.589999999999861 " "
y[1] (analytic) = 1.9301947973414377 " "
y[1] (numeric) = 1.9301947973414477 " "
absolute error = 9.992007221626409000000000000000E-15 " "
relative error = 5.1766833251177270000000000000E-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 = 4.92995658825052700E-2 " "
Order of pole (three term test) = 22.997563616840896 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.599999999999861 " "
y[1] (analytic) = 1.9443229494457035 " "
y[1] (numeric) = 1.9443229494457133 " "
absolute error = 9.769962616701378000000000000000E-15 " "
relative error = 5.0248661723026230000000000000E-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 = 3.933909736605812300E-2 " "
Order of pole (three term test) = 22.998450033020784 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.60999999999986 " "
y[1] (analytic) = 1.9584566692086263 " "
y[1] (numeric) = 1.958456669208637 " "
absolute error = 1.065814103640150300000000000000E-14 " "
relative error = 5.442112252965110000000000000E-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 = 2.936289373517891300E-2 " "
Order of pole (three term test) = 22.999137075833378 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.61999999999986 " "
y[1] (analytic) = 1.9725945432700098 " "
y[1] (numeric) = 1.9725945432700203 " "
absolute error = 1.043609643147647100000000000000E-14 " "
relative error = 5.2905430906121950000000000000E-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 = 1.937494533830506000E-2 " "
Order of pole (three term test) = 22.99962447047071 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.62999999999986 " "
y[1] (analytic) = 1.9867351578542278 " "
y[1] (numeric) = 1.986735157854239 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 5.5881782744724380000000000000E-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 = 9.379247221625581000E-3 " "
Order of pole (three term test) = 22.999912021981427 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.63999999999986 " "
y[1] (analytic) = 2.000877098911607 " "
y[1] (numeric) = 2.000877098911618 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 5.548681751763120000000000000E-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 = 6.2020246888826060000E-4 " "
Order of pole (three term test) = 22.99999961534875 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.64999999999986 " "
y[1] (analytic) = 2.0150189522598256 " "
y[1] (numeric) = 2.0150189522598367 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 5.5097398631414930000000000000E-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 = 1.061940408668260300E-2 " "
Order of pole (three term test) = 22.999887215536507 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.65999999999986 " "
y[1] (analytic) = 2.029159303725334 " "
y[1] (numeric) = 2.0291593037253453 " "
absolute error = 1.110223024625156500000000000000E-14 " "
relative error = 5.4713448204234030000000000000E-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 = 2.06143580844332320E-2 " "
Order of pole (three term test) = 22.999574867503124 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.66999999999986 " "
y[1] (analytic) = 2.043296739284769 " "
y[1] (numeric) = 2.0432967392847807 " "
absolute error = 1.154631945610162800000000000000E-14 " "
relative error = 5.6508285038145150000000000000E-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 = 3.060106661380422300E-2 " "
Order of pole (three term test) = 22.999062696183653 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.67999999999986 " "
y[1] (analytic) = 2.0574298452063564 " "
y[1] (numeric) = 2.0574298452063684 " "
absolute error = 1.19904086659516900000000000000E-14 " "
relative error = 5.8278578459860310000000000000E-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 = 4.057553512453855300E-2 " "
Order of pole (three term test) = 22.998350906439782 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.68999999999986 " "
y[1] (analytic) = 2.071557208191281 " "
y[1] (numeric) = 2.0715572081912934 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 6.0024882859298710000000000000E-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 = 5.05337739622235300E-2 " "
Order of pole (three term test) = 22.997439782977942 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.699999999999859 " "
y[1] (analytic) = 2.0856774155150175 " "
y[1] (numeric) = 2.08567741551503 " "
absolute error = 1.243449787580175300000000000000E-14 " "
relative error = 5.9618509474684490000000000000E-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 = 6.04717999640979200E-2 " "
Order of pole (three term test) = 22.996329690235335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.709999999999859 " "
y[1] (analytic) = 2.0997890551686 " "
y[1] (numeric) = 2.0997890551686127 " "
absolute error = 1.287858708565181600000000000000E-14 " "
relative error = 6.1332766041195250000000000000E-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 = 7.03856380522662200E-2 " "
Order of pole (three term test) = 22.995021072234273 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.719999999999859 " "
y[1] (analytic) = 2.1138907159998226 " "
y[1] (numeric) = 2.113890715999836 " "
absolute error = 1.332267629550187800000000000000E-14 " "
relative error = 6.3024432600341650000000000000E-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 = 8.02713228236765900E-2 " "
Order of pole (three term test) = 22.993514452404526 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.729999999999858 " "
y[1] (analytic) = 2.127980987854354 " "
y[1] (numeric) = 2.1279809878543676 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 6.4694024918112580000000000000E-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 = 9.0124900136227890E-2 " "
Order of pole (three term test) = 22.991810433373917 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.739999999999858 " "
y[1] (analytic) = 2.1420584617167506 " "
y[1] (numeric) = 2.1420584617167644 " "
absolute error = 1.376676550535194000000000000000E-14 " "
relative error = 6.4268859843902580000000000000E-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 = 9.9942428690373400E-2 " "
Order of pole (three term test) = 22.98990969672734 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.749999999999858 " "
y[1] (analytic) = 2.156121729851357 " "
y[1] (numeric) = 2.156121729851371 " "
absolute error = 1.421085471520200400000000000000E-14 " "
relative error = 6.5909333960386830000000000000E-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 = 0.10971998160559134 " "
Order of pole (three term test) = 22.98781300273411 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.759999999999858 " "
y[1] (analytic) = 2.1701693859430793 " "
y[1] (numeric) = 2.170169385943094 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 6.7529032618269770000000000000E-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 = 0.11945364799107976 " "
Order of pole (three term test) = 22.985521190043873 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.769999999999857 " "
y[1] (analytic) = 2.184200025238015 " "
y[1] (numeric) = 2.1842000252380296 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 6.709524656953110000000000000E-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 = 0.12913953451006652 " "
Order of pole (three term test) = 22.983035175351155 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.779999999999857 " "
y[1] (analytic) = 2.1982122446839263 " "
y[1] (numeric) = 2.198212244683941 " "
absolute error = 1.465494392505206600000000000000E-14 " "
relative error = 6.666755660420430000000000000E-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 = 0.1387737669370865 " "
Order of pole (three term test) = 22.980355953028685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.789999999999857 " "
y[1] (analytic) = 2.2122046430705447 " "
y[1] (numeric) = 2.21220464307056 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 7.0260779866994150000000000000E-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 = 0.14835249170762405 " "
Order of pole (three term test) = 22.97748459472965 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.799999999999857 " "
y[1] (analytic) = 2.2261758211696936 " "
y[1] (numeric) = 2.226175821169709 " "
absolute error = 1.55431223447521920000000000000E-14 " "
relative error = 6.9819832723658860000000000000E-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 = 0.157871877459485 " "
Order of pole (three term test) = 22.974422248959108 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.809999999999857 " "
y[1] (analytic) = 2.240124381875204 " "
y[1] (numeric) = 2.24012438187522 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 7.1367517285890110000000000000E-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 = 0.16732811656529303 " "
Order of pole (three term test) = 22.971170140614525 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.819999999999856 " "
y[1] (analytic) = 2.2540489303426305 " "
y[1] (numeric) = 2.2540489303426465 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 7.0926639343947570000000000000E-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 = 0.17671742665548631 " "
Order of pole (three term test) = 22.967729570495877 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.829999999999856 " "
y[1] (analytic) = 2.2679480741287295 " "
y[1] (numeric) = 2.2679480741287454 " "
absolute error = 1.598721155460225400000000000000E-14 " "
relative error = 7.0491964683732940000000000000E-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 = 0.18603605213121863 " "
Order of pole (three term test) = 22.964101914785356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.839999999999856 " "
y[1] (analytic) = 2.2818204233307045 " "
y[1] (numeric) = 2.281820423330721 " "
absolute error = 1.643130076445231700000000000000E-14 " "
relative error = 7.2009613887441870000000000000E-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 = 0.19528026566654555 " "
Order of pole (three term test) = 22.96028862449685 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.849999999999856 " "
y[1] (analytic) = 2.2956645907251962 " "
y[1] (numeric) = 2.295664590725213 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 7.3509823876193850000000000000E-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 = 0.20444636969930885 " "
Order of pole (three term test) = 22.956291224895647 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.859999999999856 " "
y[1] (analytic) = 2.309479191907002 " "
y[1] (numeric) = 2.309479191907019 " "
absolute error = 1.68753899743023800000000000000E-14 " "
relative error = 7.3070110496938030000000000000E-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 = 0.21353069791010698 " "
Order of pole (three term test) = 22.952111314888292 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.869999999999855 " "
y[1] (analytic) = 2.3232628454275153 " "
y[1] (numeric) = 2.3232628454275326 " "
absolute error = 1.731947918415244200000000000000E-14 " "
relative error = 7.4548083176380320000000000000E-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 = 0.22252961668877944 " "
Order of pole (three term test) = 22.947750566383057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.879999999999855 " "
y[1] (analytic) = 2.3370141729328706 " "
y[1] (numeric) = 2.3370141729328884 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.6009673367576760000000000000E-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 = 0.23143952658779834 " "
Order of pole (three term test) = 22.943210723621192 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.889999999999855 " "
y[1] (analytic) = 2.3507317993017773 " "
y[1] (numeric) = 2.350731799301795 " "
absolute error = 1.776356839400250500000000000000E-14 " "
relative error = 7.5566121151203650000000000000E-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 = 0.24025686376200128 " "
Order of pole (three term test) = 22.938493602479266 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.899999999999855 " "
y[1] (analytic) = 2.3644143527830286 " "
y[1] (numeric) = 2.3644143527830472 " "
absolute error = 1.86517468137026300000000000000E-14 " "
relative error = 7.8885271491219940000000000000E-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 = 0.2489781013940817 " "
Order of pole (three term test) = 22.93360108974287 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.909999999999854 " "
y[1] (analytic) = 2.3780604651326795 " "
y[1] (numeric) = 2.3780604651326986 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 8.0300044105427220000000000000E-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 = 0.25759975110526784 " "
Order of pole (three term test) = 22.928535142351823 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.919999999999854 " "
y[1] (analytic) = 2.3916687717508665 " "
y[1] (numeric) = 2.391668771750886 " "
absolute error = 1.953992523340275500000000000000E-14 " "
relative error = 8.1699963908874310000000000000E-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 = 0.26611836435062947 " "
Order of pole (three term test) = 22.923297786617578 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.929999999999854 " "
y[1] (analytic) = 2.4052379118182685 " "
y[1] (numeric) = 2.4052379118182876 " "
absolute error = 1.909583602355269200000000000000E-14 " "
relative error = 7.9392711755141790000000000000E-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 = 0.2745305337984488 " "
Order of pole (three term test) = 22.917891117412587 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.939999999999854 " "
y[1] (analytic) = 2.418766528432185 " "
y[1] (numeric) = 2.418766528432205 " "
absolute error = 1.998401444325281800000000000000E-14 " "
relative error = 8.2620683759032390000000000000E-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 = 0.28283289469310696 " "
Order of pole (three term test) = 22.912317297332425 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.949999999999854 " "
y[1] (analytic) = 2.432253268742229 " "
y[1] (numeric) = 2.4322532687422496 " "
absolute error = 2.04281036531028800000000000000E-14 " "
relative error = 8.398839017150009000000000000E-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 = 0.29102212620094253 " "
Order of pole (three term test) = 22.90657855583083 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.959999999999853 " "
y[1] (analytic) = 2.445696784085609 " "
y[1] (numeric) = 2.44569678408563 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.5342520784957340000000000000E-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 = 0.29909495273854136 " "
Order of pole (three term test) = 22.900677188327865 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.969999999999853 " "
y[1] (analytic) = 2.459095730121994 " "
y[1] (numeric) = 2.459095730122015 " "
absolute error = 2.087219286295294300000000000000E-14 " "
relative error = 8.4877512523343250000000000000E-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 = 0.3070481452829246 " "
Order of pole (three term test) = 22.89461555529188 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.979999999999853 " "
y[1] (analytic) = 2.4724487669679447 " "
y[1] (numeric) = 2.472448766967966 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 8.6215263012078300000000000000E-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 = 0.31487852266311495 " "
Order of pole (three term test) = 22.88839608129524 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.989999999999853 " "
y[1] (analytic) = 2.4857545593309047 " "
y[1] (numeric) = 2.485754559330926 " "
absolute error = 2.131628207280300600000000000000E-14 " "
relative error = 8.5753768379050070000000000000E-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 = 0.3225829528325641 " "
Order of pole (three term test) = 22.882021254044616 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 8.999999999999853 " "
y[1] (analytic) = 2.499011776642725 " "
y[1] (numeric) = 2.4990117766427473 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 8.8852964600004870000000000000E-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 = 0.33015835412192934 " "
Order of pole (three term test) = 22.875493623385932 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.009999999999852 " "
y[1] (analytic) = 2.5122190931927237 " "
y[1] (numeric) = 2.512219093192746 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 8.8385844023993830000000000000E-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 = 0.3376016964716983 " "
Order of pole (three term test) = 22.86881580028441 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.019999999999852 " "
y[1] (analytic) = 2.5253751882602504 " "
y[1] (numeric) = 2.525375188260273 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 8.9683900466116270000000000000E-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 = 0.3449100026441747 " "
Order of pole (three term test) = 22.861990455780248 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.029999999999852 " "
y[1] (analytic) = 2.538478746246763 " "
y[1] (numeric) = 2.5384787462467853 " "
absolute error = 2.22044604925031300000000000000E-14 " "
relative error = 8.7471524137569660000000000000E-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 = 0.35208034941433203 " "
Order of pole (three term test) = 22.855020319920254 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.039999999999852 " "
y[1] (analytic) = 2.551528456807381 " "
y[1] (numeric) = 2.5515284568074037 " "
absolute error = 2.264854970235319300000000000000E-14 " "
relative error = 8.8764636905881730000000000000E-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 = 0.3591098687390658 " "
Order of pole (three term test) = 22.847908180665833 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.049999999999851 " "
y[1] (analytic) = 2.564523014981924 " "
y[1] (numeric) = 2.564523014981947 " "
absolute error = 2.309263891220325600000000000000E-14 " "
relative error = 9.0046526302537490000000000000E-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 = 0.3659957489043716 " "
Order of pole (three term test) = 22.84065688277786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.059999999999851 " "
y[1] (analytic) = 2.5774611213254035 " "
y[1] (numeric) = 2.5774611213254266 " "
absolute error = 2.309263891220325600000000000000E-14 " "
relative error = 8.9594518889690830000000000000E-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 = 0.37273523564999417 " "
Order of pole (three term test) = 22.8332693266788 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.069999999999851 " "
y[1] (analytic) = 2.590341482037966 " "
y[1] (numeric) = 2.5903414820379895 " "
absolute error = 2.35367281220533200000000000000E-14 " "
relative error = 9.0863418144914490000000000000E-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 = 0.3793256332710931 " "
Order of pole (three term test) = 22.825748467292605 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.07999999999985 " "
y[1] (analytic) = 2.603162809094274 " "
y[1] (numeric) = 2.603162809094298 " "
absolute error = 2.39808173319033800000000000000E-14 " "
relative error = 9.2121849805648910000000000000E-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 = 0.38576430569649156 " "
Order of pole (three term test) = 22.818097312862758 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.08999999999985 " "
y[1] (analytic) = 2.615923820372307 " "
y[1] (numeric) = 2.6159238203723314 " "
absolute error = 2.442490654175344400000000000000E-14 " "
relative error = 9.3370098744990240000000000000E-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 = 0.3920486775430672 " "
Order of pole (three term test) = 22.810318923748994 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.09999999999985 " "
y[1] (analytic) = 2.6286232397815708 " "
y[1] (numeric) = 2.6286232397815956 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 9.4608445117718850000000000000E-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 = 0.3981762351458714 " "
Order of pole (three term test) = 22.80241641120326 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.10999999999985 " "
y[1] (analytic) = 2.641259797390707 " "
y[1] (numeric) = 2.6412597973907324 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.583716447151580000000000000E-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 = 0.4041445275635628 " "
Order of pole (three term test) = 22.794392936125217 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.11999999999985 " "
y[1] (analytic) = 2.653832229554486 " "
y[1] (numeric) = 2.6538322295545114 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.5383139444738070000000000000E-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 = 0.4099511675587509 " "
Order of pole (three term test) = 22.786251707797906 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.12999999999985 " "
y[1] (analytic) = 2.6663392790401685 " "
y[1] (numeric) = 2.6663392790401934 " "
absolute error = 2.486899575160350700000000000000E-14 " "
relative error = 9.3270184882682560000000000000E-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 = 0.4155938325528579 " "
Order of pole (three term test) = 22.77799598260411 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.13999999999985 " "
y[1] (analytic) = 2.678779695153227 " "
y[1] (numeric) = 2.6787796951532523 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.449483661255560000000000000E-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 = 0.4210702655551214 " "
Order of pole (three term test) = 22.76962906272385 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.14999999999985 " "
y[1] (analytic) = 2.6911522338624185 " "
y[1] (numeric) = 2.691152233862444 " "
absolute error = 2.53130849614535700000000000000E-14 " "
relative error = 9.4060397784050690000000000000E-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 = 0.4263782760653577 " "
Order of pole (three term test) = 22.761154294813494 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.15999999999985 " "
y[1] (analytic) = 2.7034556579241817 " "
y[1] (numeric) = 2.7034556579242075 " "
absolute error = 2.575717417130363000000000000000E-14 " "
relative error = 9.5275001444192320000000000000E-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 = 0.43151574095013606 " "
Order of pole (three term test) = 22.75257506866723 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.169999999999849 " "
y[1] (analytic) = 2.7156887370063636 " "
y[1] (numeric) = 2.71568873700639 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 9.6481098971734990000000000000E-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 = 0.4364806052920008 " "
Order of pole (three term test) = 22.74389481586112 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.179999999999849 " "
y[1] (analytic) = 2.7278502478112507 " "
y[1] (numeric) = 2.727850247811277 " "
absolute error = 2.620126338115369400000000000000E-14 " "
relative error = 9.6050959550205670000000000000E-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 = 0.44127088321141267 " "
Order of pole (three term test) = 22.735117008380552 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.189999999999849 " "
y[1] (analytic) = 2.739938974197896 " "
y[1] (numeric) = 2.7399389741979228 " "
absolute error = 2.664535259100375700000000000000E-14 " "
relative error = 9.7247978301429340000000000000E-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 = 0.4458846586610731 " "
Order of pole (three term test) = 22.726245157231475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.199999999999848 " "
y[1] (analytic) = 2.751953707303735 " "
y[1] (numeric) = 2.7519537073037625 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 1.0005085091958267000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.45032008619231856 " "
Order of pole (three term test) = 22.717282811036085 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.209999999999848 " "
y[1] (analytic) = 2.76389324566547 " "
y[1] (numeric) = 2.7638932456654977 " "
absolute error = 2.753353101070388000000000000000E-14 " "
relative error = 9.9618648635883020000000000000E-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 = 0.45457539169327504 " "
Order of pole (three term test) = 22.708233554613336 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.219999999999848 " "
y[1] (analytic) = 2.775756395339214 " "
y[1] (numeric) = 2.775756395339242 " "
absolute error = 2.797762022055394500000000000000E-14 " "
relative error = 1.0079277946555866000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4586488730984786 " "
Order of pole (three term test) = 22.699101007545156 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.229999999999848 " "
y[1] (analytic) = 2.787541970019886 " "
y[1] (numeric) = 2.787541970019914 " "
absolute error = 2.84217094304040100000000000000E-14 " "
relative error = 1.0195975427843067000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4625389010696796 " "
Order of pole (three term test) = 22.689888822728594 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.239999999999847 " "
y[1] (analytic) = 2.799248791159838 " "
y[1] (numeric) = 2.799248791159867 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 1.0311980389672275000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46624391964755574 " "
Order of pole (three term test) = 22.68060068491477 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.249999999999847 " "
y[1] (analytic) = 2.8108756880867127 " "
y[1] (numeric) = 2.810875688086742 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.0427315577963031000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46976244687407553 " "
Order of pole (three term test) = 22.67124030923495 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.259999999999847 " "
y[1] (analytic) = 2.8224214981205065 " "
y[1] (numeric) = 2.8224214981205358 " "
absolute error = 2.93098878501041300000000000000E-14 " "
relative error = 1.0384660076328796000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4730930753852617 " "
Order of pole (three term test) = 22.661811439714608 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.269999999999847 " "
y[1] (analytic) = 2.8338850666898376 " "
y[1] (numeric) = 2.8338850666898665 " "
absolute error = 2.88657986402540700000000000000E-14 " "
relative error = 1.0185945428609497000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47623447297411725 " "
Order of pole (three term test) = 22.652317847775844 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.279999999999847 " "
y[1] (analytic) = 2.8452652474474007 " "
y[1] (numeric) = 2.8452652474474305 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.0457364945727873000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47918538312349146 " "
Order of pole (three term test) = 22.64276333072884 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.289999999999846 " "
y[1] (analytic) = 2.8565609023846052 " "
y[1] (numeric) = 2.856560902384635 " "
absolute error = 2.975397705995419500000000000000E-14 " "
relative error = 1.0416013548010168000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48194462550866957 " "
Order of pole (three term test) = 22.633151710253042 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.299999999999846 " "
y[1] (analytic) = 2.867770901945369 " "
y[1] (numeric) = 2.8677709019453994 " "
absolute error = 3.01980662698042600000000000000E-14 " "
relative error = 1.0530152966305371000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4845110964694867 " "
Order of pole (three term test) = 22.62348683086845 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.309999999999846 " "
y[1] (analytic) = 2.8788941251390785 " "
y[1] (numeric) = 2.878894125139109 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0643724342649805000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4868837694517781 " "
Order of pole (three term test) = 22.613772558398008 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.319999999999846 " "
y[1] (analytic) = 2.889929459652684 " "
y[1] (numeric) = 2.8899294596527145 " "
absolute error = 3.06421554796543200000000000000E-14 " "
relative error = 1.0603080769776625000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4890616954179855 " "
Order of pole (three term test) = 22.60401277842114 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.329999999999846 " "
y[1] (analytic) = 2.900875801961929 " "
y[1] (numeric) = 2.90087580196196 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0716158433422086000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4910440032267618 " "
Order of pole (three term test) = 22.594211394719725 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.339999999999845 " "
y[1] (analytic) = 2.9117320574417054 " "
y[1] (numeric) = 2.9117320574417365 " "
absolute error = 3.10862446895043830000000000000E-14 " "
relative error = 1.0676203742736294000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4928298999814132 " "
Order of pole (three term test) = 22.584372327716554 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.349999999999845 " "
y[1] (analytic) = 2.9224971404755116 " "
y[1] (numeric) = 2.922497140475543 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0788833105316309000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49441867134705 " "
Order of pole (three term test) = 22.57449951290726 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.359999999999845 " "
y[1] (analytic) = 2.933169974564015 " "
y[1] (numeric) = 2.933169974564047 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 1.090097859533598000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4958096818363087 " "
Order of pole (three term test) = 22.564596899286094 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.369999999999845 " "
y[1] (analytic) = 2.943749492432702 " "
y[1] (numeric) = 2.9437494924327336 " "
absolute error = 3.153033389935444600000000000000E-14 " "
relative error = 1.0710943298812398000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4970023750635409 " "
Order of pole (three term test) = 22.55466844776651 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.379999999999844 " "
y[1] (analytic) = 2.9542346361386005 " "
y[1] (numeric) = 2.9542346361386325 " "
absolute error = 3.19744231092045100000000000000E-14 " "
relative error = 1.0823251043795698000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49799627396735746 " "
Order of pole (three term test) = 22.54471812959672 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.389999999999844 " "
y[1] (analytic) = 2.9646243571760778 " "
y[1] (numeric) = 2.96462435717611 " "
absolute error = 3.24185123190545700000000000000E-14 " "
relative error = 1.0935116363253011000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4987909810014487 " "
Order of pole (three term test) = 22.534749924771322 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.399999999999844 " "
y[1] (analytic) = 2.9749176165816884 " "
y[1] (numeric) = 2.9749176165817213 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.1046558515010312000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49938617829359744 " "
Order of pole (three term test) = 22.52476782043934 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.409999999999844 " "
y[1] (analytic) = 2.98511338503807 " "
y[1] (numeric) = 2.985113385038103 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.1008828573687673000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49978162777282215 " "
Order of pole (three term test) = 22.514775809309423 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.419999999999844 " "
y[1] (analytic) = 2.995210642976873 " "
y[1] (numeric) = 2.9952106429769056 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0971716331858127000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999771712646042 " "
Order of pole (three term test) = 22.504777888052782 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.429999999999843 " "
y[1] (analytic) = 3.0052083806807173 " "
y[1] (numeric) = 3.00520838068075 " "
absolute error = 3.286260152890463400000000000000E-14 " "
relative error = 1.0935215587765945000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4999727305541533 " "
Order of pole (three term test) = 22.494778055704625 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.439999999999843 " "
y[1] (analytic) = 3.0151055983841637 " "
y[1] (numeric) = 3.0151055983841974 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.1193896481334605000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49976830741769535 " "
Order of pole (three term test) = 22.48478031206456 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.449999999999843 " "
y[1] (analytic) = 3.024901306373691 " "
y[1] (numeric) = 3.024901306373725 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.1157646656930383000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4993639836217587 " "
Order of pole (three term test) = 22.47478865609675 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.459999999999843 " "
y[1] (analytic) = 3.034594525086663 " "
y[1] (numeric) = 3.0345945250866966 " "
absolute error = 3.37507799486047600000000000000E-14 " "
relative error = 1.1122006472229067000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.498759920890471 " "
Order of pole (three term test) = 22.464807084330346 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.469999999999843 " "
y[1] (analytic) = 3.0441842852092846 " "
y[1] (numeric) = 3.044184285209319 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.1232851218829532000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49795636084087097 " "
Order of pole (three term test) = 22.454839589260988 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.479999999999842 " "
y[1] (analytic) = 3.0536696277735365 " "
y[1] (numeric) = 3.0536696277735706 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.1197959611428782000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49695362488626416 " "
Order of pole (three term test) = 22.444890157753793 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.489999999999842 " "
y[1] (analytic) = 3.0630496042530657 " "
y[1] (numeric) = 3.0630496042531004 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.1308650803502644000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4957521141076627 " "
Order of pole (three term test) = 22.434962769448695 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.499999999999842 " "
y[1] (analytic) = 3.072323276658042 " "
y[1] (numeric) = 3.0723232766580764 " "
absolute error = 3.41948691584548200000000000000E-14 " "
relative error = 1.1129971060744205000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49435230909335837 " "
Order of pole (three term test) = 22.425061395168676 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.509999999999842 " "
y[1] (analytic) = 3.0814897176289517 " "
y[1] (numeric) = 3.0814897176289864 " "
absolute error = 3.463895836830488400000000000000E-14 " "
relative error = 1.1240978079575675000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.49275476974669286 " "
Order of pole (three term test) = 22.415189995331428 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.519999999999841 " "
y[1] (analytic) = 3.090548010529337 " "
y[1] (numeric) = 3.090548010529372 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.1351723855649166000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4909601350621048 " "
Order of pole (three term test) = 22.405352518365255 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.529999999999841 " "
y[1] (analytic) = 3.099497249537457 " "
y[1] (numeric) = 3.099497249537492 " "
absolute error = 3.508304757815494700000000000000E-14 " "
relative error = 1.1318947801418583000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48896912286953964 " "
Order of pole (three term test) = 22.395552899129786 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.539999999999841 " "
y[1] (analytic) = 3.108336539736867 " "
y[1] (numeric) = 3.1083365397369027 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.1429630071849464000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4867825295473279 " "
Order of pole (three term test) = 22.385795057342055 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.54999999999984 " "
y[1] (analytic) = 3.117064997205915 " "
y[1] (numeric) = 3.1170649972059503 " "
absolute error = 3.55271367880050100000000000000E-14 " "
relative error = 1.1397624630814868000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48440122970364463 " "
Order of pole (three term test) = 22.376082896008672 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.55999999999984 " "
y[1] (analytic) = 3.1256817491061257 " "
y[1] (numeric) = 3.1256817491061617 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.150828167587504100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.48182617582667675 " "
Order of pole (three term test) = 22.36642029986468 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.56999999999984 " "
y[1] (analytic) = 3.1341859337694915 " "
y[1] (numeric) = 3.1341859337695275 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.1477055528289098000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47905839790364196 " "
Order of pole (three term test) = 22.35681113381972 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.57999999999984 " "
y[1] (analytic) = 3.142576700784632 " "
y[1] (numeric) = 3.142576700784668 " "
absolute error = 3.59712259978550700000000000000E-14 " "
relative error = 1.144641147147621000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47609900300880537 " "
Order of pole (three term test) = 22.34725924141205 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.58999999999984 " "
y[1] (analytic) = 3.150853211081838 " "
y[1] (numeric) = 3.1508532110818743 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.1557287111830265000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.47294917486066745 " "
Order of pole (three term test) = 22.337768443271308 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.59999999999984 " "
y[1] (analytic) = 3.159014637016977 " "
y[1] (numeric) = 3.1590146370170133 " "
absolute error = 3.641531520770513500000000000000E-14 " "
relative error = 1.1527428452212465000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46961017334849026 " "
Order of pole (three term test) = 22.3283425355902 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.60999999999984 " "
y[1] (analytic) = 3.1670601624542565 " "
y[1] (numeric) = 3.1670601624542933 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1638365716738283000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4660833340283593 " "
Order of pole (three term test) = 22.31898528860612 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.61999999999984 " "
y[1] (analytic) = 3.1749889828478377 " "
y[1] (numeric) = 3.1749889828478746 " "
absolute error = 3.6859404417555197000000000000E-14 " "
relative error = 1.1609301517794178000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.46237006758897825 " "
Order of pole (three term test) = 22.309700445093096 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.62999999999984 " "
y[1] (analytic) = 3.182800305322288 " "
y[1] (numeric) = 3.1828003053223255 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1720337454104879000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.458471859287414 " "
Order of pole (three term test) = 22.30049171886475 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.639999999999839 " "
y[1] (analytic) = 3.1904933487518705 " "
y[1] (numeric) = 3.190493348751908 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.169207691406048000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4543902683550113 " "
Order of pole (three term test) = 22.29136279328878 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.649999999999839 " "
y[1] (analytic) = 3.1980673438386518 " "
y[1] (numeric) = 3.198067343838689 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1664386523715208000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4501269273737226 " "
Order of pole (three term test) = 22.2823173198137 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.659999999999838 " "
y[1] (analytic) = 3.2055215331894353 " "
y[1] (numeric) = 3.2055215331894726 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1637261906111411000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.445683541623097 " "
Order of pole (three term test) = 22.273358916508297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.669999999999838 " "
y[1] (analytic) = 3.212855171391498 " "
y[1] (numeric) = 3.2128551713915354 " "
absolute error = 3.73034936274052600000000000000E-14 " "
relative error = 1.1610698782680885000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.44106188839818994 " "
Order of pole (three term test) = 22.26449116661445 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.679999999999838 " "
y[1] (analytic) = 3.2200675250871305 " "
y[1] (numeric) = 3.220067525087168 " "
absolute error = 3.77475828372553200000000000000E-14 " "
relative error = 1.1722605983622635000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43626381629867045 " "
Order of pole (three term test) = 22.25571761711388 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.689999999999838 " "
y[1] (analytic) = 3.227157873046974 " "
y[1] (numeric) = 3.227157873047012 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1834460398135432000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.43129124448940487 " "
Order of pole (three term test) = 22.247041777309413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.699999999999838 " "
y[1] (analytic) = 3.234125506242141 " "
y[1] (numeric) = 3.234125506242179 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.180896411515019000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4261461619328166 " "
Order of pole (three term test) = 22.23846711742129 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.709999999999837 " "
y[1] (analytic) = 3.240969727915118 " "
y[1] (numeric) = 3.2409697279151564 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1784026156786627000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.42083062659332865 " "
Order of pole (three term test) = 22.229997067199136 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.719999999999837 " "
y[1] (analytic) = 3.247689853649442 " "
y[1] (numeric) = 3.2476898536494803 " "
absolute error = 3.819167204710538500000000000000E-14 " "
relative error = 1.1759642628494606000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4153467646142035 " "
Order of pole (three term test) = 22.221635014550117 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.729999999999837 " "
y[1] (analytic) = 3.254285211438139 " "
y[1] (numeric) = 3.2542852114381775 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1872272633375448000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.4096967694671154 " "
Order of pole (three term test) = 22.21338430418379 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.739999999999837 " "
y[1] (analytic) = 3.260755141750926 " "
y[1] (numeric) = 3.260755141750965 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1848715888617513000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.40388290107479125 " "
Order of pole (three term test) = 22.205248236274297 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.749999999999837 " "
y[1] (analytic) = 3.267098997600164 " "
y[1] (numeric) = 3.2670989976002027 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1825708766503618000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3979074849070712 " "
Order of pole (three term test) = 22.197230065140335 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.759999999999836 " "
y[1] (analytic) = 3.2733161446055545 " "
y[1] (numeric) = 3.273316144605593 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.180324770053984100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.39177291105075013 " "
Order of pole (three term test) = 22.18933299794342 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.769999999999836 " "
y[1] (analytic) = 3.279405961057577 " "
y[1] (numeric) = 3.2794059610576163 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1916746792215573000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3854816332535782 " "
Order of pole (three term test) = 22.18156019340516 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.779999999999836 " "
y[1] (analytic) = 3.285367837979663 " "
y[1] (numeric) = 3.2853678379797016 " "
absolute error = 3.86357612569554500000000000000E-14 " "
relative error = 1.1759949924120068000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37903616794279166 " "
Order of pole (three term test) = 22.173914760543745 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.789999999999836 " "
y[1] (analytic) = 3.2912011791890863 " "
y[1] (numeric) = 3.2912011791891254 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1874038789823942000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.37243909321857566 " "
Order of pole (three term test) = 22.16639975743035 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.799999999999836 " "
y[1] (analytic) = 3.2969054013565886 " "
y[1] (numeric) = 3.2969054013566277 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1853494628849585000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.36569304782286105 " "
Order of pole (three term test) = 22.159018189966055 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.809999999999835 " "
y[1] (analytic) = 3.302479934064706 " "
y[1] (numeric) = 3.302479934064745 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1833486121657025000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3588007300838594 " "
Order of pole (three term test) = 22.151773010679403 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.819999999999835 " "
y[1] (analytic) = 3.3079242198648133 " "
y[1] (numeric) = 3.3079242198648524 " "
absolute error = 3.90798504668055100000000000000E-14 " "
relative error = 1.1814010197731376000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3517648968367702 " "
Order of pole (three term test) = 22.144667117545506 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.829999999999835 " "
y[1] (analytic) = 3.313237714332867 " "
y[1] (numeric) = 3.3132377143329066 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.192909868968272000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.34458836232108236 " "
Order of pole (three term test) = 22.137703352826893 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.839999999999835 " "
y[1] (analytic) = 3.318419886123849 " "
y[1] (numeric) = 3.3184198861238885 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.191046975156069100000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3372739970549163 " "
Order of pole (three term test) = 22.13088450193658 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.849999999999834 " "
y[1] (analytic) = 3.3234702170248975 " "
y[1] (numeric) = 3.3234702170249375 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.202599279565206800000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3298247266868551 " "
Order of pole (three term test) = 22.124213292324033 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.859999999999834 " "
y[1] (analytic) = 3.3283882020071323 " "
y[1] (numeric) = 3.3283882020071722 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.2008223338372472000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.32224353082572327 " "
Order of pole (three term test) = 22.11769239238413 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.869999999999834 " "
y[1] (analytic) = 3.3331733492761533 " "
y[1] (numeric) = 3.333173349276193 " "
absolute error = 3.95239396766555730000000000000E-14 " "
relative error = 1.1857751018331754000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3145334418487848 " "
Order of pole (three term test) = 22.111324410389898 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.879999999999834 " "
y[1] (analytic) = 3.3378251803212198 " "
y[1] (numeric) = 3.3378251803212597 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.1974272685743016000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.3066975436888296 " "
Order of pole (three term test) = 22.105111893449248 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.889999999999834 " "
y[1] (analytic) = 3.3423432299631055 " "
y[1] (numeric) = 3.3423432299631455 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.1958086329436256000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2987389706006452 " "
Order of pole (three term test) = 22.099057326486108 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.899999999999833 " "
y[1] (analytic) = 3.34672704640061 " "
y[1] (numeric) = 3.3467270464006504 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 1.2075116236269925000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2906609059073535 " "
Order of pole (three term test) = 22.09316313124654 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.909999999999833 " "
y[1] (analytic) = 3.350976191255744 " "
y[1] (numeric) = 3.350976191255784 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.192727927784172900000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2824665807271265 " "
Order of pole (three term test) = 22.087431665330058 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.919999999999833 " "
y[1] (analytic) = 3.3550902396175615 " "
y[1] (numeric) = 3.3550902396176014 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.1912653917487923000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2741592726807789 " "
Order of pole (three term test) = 22.08186522124661 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.929999999999833 " "
y[1] (analytic) = 3.3590687800846557 " "
y[1] (numeric) = 3.3590687800846957 " "
absolute error = 3.996802888650563500000000000000E-14 " "
relative error = 1.1898544359516913000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2657423045807675 " "
Order of pole (three term test) = 22.076466025499602 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.939999999999833 " "
y[1] (analytic) = 3.362911414806294 " "
y[1] (numeric) = 3.362911414806335 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 1.2149058439756466000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.25721904310210736 " "
Order of pole (three term test) = 22.071236237695356 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.949999999999832 " "
y[1] (analytic) = 3.3666177595222084 " "
y[1] (numeric) = 3.3666177595222493 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 1.2135683414206218000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.24859289743574717 " "
Order of pole (three term test) = 22.06617794967925 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.959999999999832 " "
y[1] (analytic) = 3.370187443601015 " "
y[1] (numeric) = 3.3701874436010555 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 1.1991059480411485000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23986731792494145 " "
Order of pole (three term test) = 22.061293184699057 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.969999999999832 " "
y[1] (analytic) = 3.3736201100772805 " "
y[1] (numeric) = 3.373620110077321 " "
absolute error = 4.0412118096355700000000000000E-14 " "
relative error = 1.1978858548904597000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.23104579468515368 " "
Order of pole (three term test) = 22.056583896595637 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.979999999999832 " "
y[1] (analytic) = 3.3769154156872174 " "
y[1] (numeric) = 3.3769154156872583 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 1.2098676536703049000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.22213185620806158 " "
Order of pole (three term test) = 22.05205196902145 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.989999999999831 " "
y[1] (analytic) = 3.3800730309030116 " "
y[1] (numeric) = 3.3800730309030524 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 1.2087374128508319000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.2131290679502039 " "
Order of pole (three term test) = 22.04769921468709 " "
"NO COMPLEX POLE (six term test) for Equation 1"
" "
"TOP MAIN SOLVE Loop"
x[1] = 9.999999999999831 " "
y[1] (analytic) = 3.3830926399657724 " "
y[1] (numeric) = 3.383092639965813 " "
absolute error = 4.08562073062057600000000000000E-14 " "
relative error = 1.2076585436519145000000000000E-12 "%"
Correct digits = 15
h = 1.00E-2 " "
"NO INFO (given) for Equation 1"
"NO POLE (ratio test) for Equation 1"
Radius of convergence (three term test) for eq 1 = 0.20404103090684994 " "
Order of pole (three term test) = 22.043527374636252 " "
"NO COMPLEX POLE (six term test) for Equation 1"
"Finished!"
"diff ( y , x , 1 ) = sin ( x ) - cos ( x ) ; "
Iterations = 1001
"Total Elapsed Time "= 29 Seconds
"Elapsed Time(since restart) "= 29 Seconds
"Time to Timeout "= 9 Minutes 30 Seconds
Percent Done = 100.19999999999831 "%"
(%o226) true
(%o226) diffeq.max