(%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(-cos(x)-cos(x)+2.0) (%o212) exact_soln_y(x) := block(- cos(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]:sin(array_x[1]), array_tmp3_g[1]:cos(array_x[1]), array_tmp4[1]:array_tmp3[1]+array_tmp2[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_tmp3[2]+array_tmp2[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_tmp3[3]+array_tmp2[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_tmp3[4]+array_tmp2[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_tmp3[5]+array_tmp2[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_tmp3[kkk]+array_tmp2[kkk], order_d:1, if order_d+kkk <= MAX_TERMS then (if not array_y_set_initial[1,order_d+kkk] then ( temporary :array_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 : sin(array_x ), 1 1 1 1 1 array_tmp3_g : cos(array_x ), array_tmp4 : array_tmp3 + array_tmp2 , 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 : ----------------------, 2 1 array_tmp4 : array_tmp3 + array_tmp2 , 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 : ----------------------, 3 2 array_tmp4 : array_tmp3 + array_tmp2 , 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 : ----------------------, 4 3 array_tmp4 : array_tmp3 + array_tmp2 , 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 : ----------------------, 5 4 array_tmp4 : array_tmp3 + array_tmp2 , 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_tmp3 + array_tmp2 , 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(-cos(x)-cos(x)+2.0) (%o223) exact_soln_y(x) := block(- cos(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]),max_terms:30, Digits:32,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/addpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; "), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"max_terms:30,"), omniout_str(ALWAYS,"Digits:32,"),omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"x_start:-5.0,"), omniout_str(ALWAYS,"x_end:5.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_max_iter:100,"), omniout_str(ALWAYS,"glob_display_interval:0.1,"), omniout_str(ALWAYS,"glob_max_minutes:10,"), omniout_str(ALWAYS,"/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS,"glob_desired_digits_correct:10,"), omniout_str(ALWAYS,"glob_display_interval:0.01,"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_max_iter:1000000000,"), omniout_str(ALWAYS,"glob_max_minutes:10.0,"), omniout_str(ALWAYS,"glob_subiter_method:3,"), omniout_str(ALWAYS,"/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS,"exact_soln_y (x) := (block("), omniout_str(ALWAYS," (2.0 - cos(x) - cos(x)) "), omniout_str(ALWAYS,"));"), omniout_str(ALWAYS,"/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:0.0,glob_smallish_float:0.0, glob_large_float:1.0E+100,glob_larger_float:1.1E+100, glob_almost_1:0.99,x_start:-5.0,x_end:5.0, array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_max_iter:100, glob_display_interval:0.1,glob_max_minutes:10, glob_desired_digits_correct:10,glob_display_interval:0.01, glob_look_poles:true,glob_max_iter:1000000000, glob_max_minutes:10.0,glob_subiter_method:3, glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, omniout_str(ALWAYS,"START of Optimize"), glob_check_sign:my_check_sign(x_start,x_end),found_h:false, glob_h:glob_min_h*glob_check_sign, if abs(glob_max_h) < abs(glob_h) then glob_h:abs(glob_max_h)*glob_check_sign, if abs(glob_display_interval) < abs(glob_h) then glob_h:abs(glob_display_interval), if glob_h > 0.0 then (glob_neg_h:false, glob_display_interval:abs(glob_display_interval)) else (glob_neg_h:true, glob_display_interval :-abs(glob_display_interval)),chk_data(), best_h:glob_h,min_value:glob_larger_float, est_answer:est_size_answer(),opt_iter:1, est_needed_step_err:estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(ALWAYS,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:0.0, while opt_iter <= 100 and not found_h do (omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""), array_x[1]:x_start,array_x[2]:glob_h, glob_next_display:x_start,order_diff:1,term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no]*expt(glob_h,term_no-1) /factorial_1(term_no-1),term_no:1+term_no), rows:order_diff,r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < MAX_TERMS then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no),r_order:1+r_order), atomall(),estimated_step_error:test_suggested_h(), omniout_float(ALWAYS,"estimated_step_error",32, estimated_step_error,32,""), if estimated_step_error > est_needed_step_err and opt_iter = 1 or glob_check_sign*glob_h >= glob_check_sign*glob_max_h then (found_h:true, glob_h:glob_check_sign*glob_max_h, best_h:glob_h) elseif estimated_step_error > est_needed_step_err and not found_h then (glob_h:glob_h/2.0,best_h:glob_h, found_h:true) else (glob_h:glob_h*2.0,best_h:glob_h), omniout_float(ALWAYS,"best_h",32,best_h,32,""), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(ALWAYS,"Beginning glob_h too large."), found_h:false), if opt_iter > 100 then (glob_h:glob_check_sign*glob_max_h,found_h:false), if glob_check_sign*glob_display_interval < glob_check_sign*glob_h then glob_h:glob_check_sign*glob_display_interval, if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(ALWAYS,"START of Soultion"), array_x[1]:x_start,array_x[2]:glob_h, glob_next_display:x_start,order_diff:1,term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < MAX_TERMS then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(), glob_current_iter:0,glob_iter:0, omniout_str(DEBUGL," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(INFO," "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), glob_current_iter:1+glob_current_iter, atomall(),display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:2, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1),ord:1, calc_term:2,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:1, calc_term:2,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1),ord:1, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:1, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1), term_no:MAX_TERMS, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(ALWAYS,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = sin ( x ) + sin ( 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, "2014-01-08T19:36:39-06:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "add"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) + sin ( 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, "add diffeq.max"), logitem_str(html_log_file, "add 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]), max_terms : 30, Digits : 32, 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/addpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; "), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:-5.0,"), omniout_str(ALWAYS, "x_end:5.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:100,"), omniout_str(ALWAYS, "glob_display_interval:0.1,"), omniout_str(ALWAYS, "glob_max_minutes:10,"), omniout_str(ALWAYS, "/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS, "glob_desired_digits_correct:10,"), omniout_str(ALWAYS, "glob_display_interval:0.01,"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter:1000000000,"), omniout_str(ALWAYS, "glob_max_minutes:10.0,"), omniout_str(ALWAYS, "glob_subiter_method:3,"), omniout_str(ALWAYS, "/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS, "exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (2.0 - cos(x) - cos(x)) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_larger_float : 1.1E+100, glob_almost_1 : 0.99, x_start : - 5.0, x_end : 5.0, array_y_init : exact_soln_y(x_start), glob_look_poles : true, 1 + 0 glob_max_iter : 100, glob_display_interval : 0.1, glob_max_minutes : 10, glob_desired_digits_correct : 10, glob_display_interval : 0.01, glob_look_poles : true, glob_max_iter : 1000000000, glob_max_minutes : 10.0, glob_subiter_method : 3, glob_last_good_h : glob_h, glob_max_sec : 3600.0 glob_max_hours + 60.0 glob_max_minutes, omniout_str(ALWAYS, "START of Optimize"), glob_check_sign : my_check_sign(x_start, x_end), found_h : false, glob_h : glob_min_h glob_check_sign, if mabs(glob_max_h) < mabs(glob_h) then glob_h : mabs(glob_max_h) glob_check_sign, if mabs(glob_display_interval) < mabs(glob_h) then glob_h : mabs(glob_display_interval), if glob_h > 0.0 then (glob_neg_h : false, glob_display_interval : mabs(glob_display_interval)) else (glob_neg_h : true, glob_display_interval : - mabs(glob_display_interval)), chk_data(), best_h : glob_h, min_value : glob_larger_float, est_answer : est_size_answer(), opt_iter : 1, est_needed_step_err : estimated_needed_step_error(x_start, x_end, glob_h, est_answer), omniout_float(ALWAYS, "est_needed_step_err", 32, est_needed_step_err, 16, ""), estimated_step_error : 0.0, while (opt_iter <= 100) and (not found_h) do (omniout_int(ALWAYS, "opt_iter", 32, opt_iter, 4, ""), array_x : x_start, array_x : glob_h, 1 2 glob_next_display : x_start, order_diff : 1, term_no : 1, while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, if term_no < MAX_TERMS then array_y_higher : r_order, term_no array_y_init expt(glob_h, term_no - 1) it ----------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) r_order : 1 + r_order), atomall(), estimated_step_error : test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error", 32, estimated_step_error, 32, ""), if ((estimated_step_error > est_needed_step_err) and (opt_iter = 1)) or (glob_check_sign glob_h >= glob_check_sign glob_max_h) then (found_h : true, glob_h : glob_check_sign glob_max_h, best_h : glob_h) elseif (estimated_step_error > est_needed_step_err) and (not found_h) glob_h then (glob_h : ------, best_h : glob_h, found_h : true) 2.0 else (glob_h : glob_h 2.0, best_h : glob_h), omniout_float(ALWAYS, "best_h", 32, best_h, 32, ""), opt_iter : 1 + opt_iter), if (not found_h) and (opt_iter = 1) then (omniout_str(ALWAYS, "Beginning glob_h too large."), found_h : false), if opt_iter > 100 then (glob_h : glob_check_sign glob_max_h, found_h : false), if glob_check_sign glob_display_interval < glob_check_sign glob_h then glob_h : glob_check_sign glob_display_interval, if glob_html_log then html_log_file : openw("entry.html"), if found_h then (omniout_str(ALWAYS, "START of Soultion"), array_x : x_start, 1 array_x : glob_h, glob_next_display : x_start, order_diff : 1, term_no : 1, 2 while term_no <= order_diff do (array_y : term_no array_y_init expt(glob_h, term_no - 1) term_no ---------------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) rows : order_diff, r_order : 1, while r_order <= rows do (term_no : 1, while term_no <= 1 - r_order + rows do (it : - 1 + r_order + term_no, if term_no < MAX_TERMS then array_y_higher : r_order, term_no array_y_init expt(glob_h, term_no - 1) it ----------------------------------------, term_no : 1 + term_no), factorial_1(term_no - 1) r_order : 1 + r_order), current_iter : 1, glob_clock_start_sec : elapsed_time_seconds(), glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 0, glob_iter : 0, omniout_str(DEBUGL, " "), glob_reached_optimal_h : true, glob_optimal_clock_start_sec : elapsed_time_seconds(), while (glob_current_iter < glob_max_iter) and (glob_check_sign array_x < glob_check_sign x_end) 1 and (glob_clock_sec - glob_orig_start_sec < glob_max_sec) do (if reached_interval () then (omniout_str(INFO, " "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter : 1 + glob_iter, glob_clock_sec : elapsed_time_seconds(), glob_current_iter : 1 + glob_current_iter, atomall(), display_alot(current_iter), if glob_look_poles then check_for_pole(), if reached_interval() then glob_next_display : glob_display_interval + glob_next_display, array_x : glob_h + array_x , 1 1 array_x : glob_h, order_diff : 2, ord : 2, calc_term : 1, iii : MAX_TERMS, 2 while iii >= calc_term do (array_y_higher_work : 2, iii array_y_higher 2, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 2, calc_term : 1, iii : MAX_TERMS, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 2, iii : MAX_TERMS, factorial_1(calc_term - 1) while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 2, iii : MAX_TERMS, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, ord : 1, calc_term : 1, iii : MAX_TERMS, factorial_1(calc_term - 1) while iii >= calc_term do (array_y_higher_work : 1, iii array_y_higher 1, iii --------------------------- expt(glob_h, calc_term - 1) -------------------------------------, iii : iii - 1), temp_sum : 0.0, factorial_3(iii - calc_term, iii - 1) ord : 1, calc_term : 1, iii : MAX_TERMS, while iii >= calc_term do (temp_sum : array_y_higher_work + temp_sum, ord, iii iii : iii - 1), array_y_higher_work2 : ord, calc_term temp_sum expt(glob_h, calc_term - 1) ------------------------------------, term_no : MAX_TERMS, factorial_1(calc_term - 1) while term_no >= 1 do (array_y : array_y_higher_work2 , term_no 1, term_no ord : 1, while ord <= order_diff do (array_y_higher : ord, term_no array_y_higher_work2 , ord : 1 + ord), term_no : term_no - 1)), ord, term_no omniout_str(ALWAYS, "Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds() - glob_orig_start_sec >= glob_max_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec : elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x \ , 1 ) = sin ( x ) + sin ( 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, "2014-01-08T19:36:39-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "add"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sin ( x ) + sin ( 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, "add diffeq.max"), logitem_str(html_log_file, "add 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 : $MAX_TERMS 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 $MAIN_PROG : |$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/addpostode.ode#################" "diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "max_terms:30," "Digits:32," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:-5.0," "x_end:5.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter:100," "glob_display_interval:0.1," "glob_max_minutes:10," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.01," "glob_look_poles:true," "glob_max_iter:1000000000," "glob_max_minutes:10.0," "glob_subiter_method:3," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (2.0 - cos(x) - cos(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 = 1.4067353021209567000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-183 "" estimated_step_error = 1.4067353021209567000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 9.44044021641167100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 "" estimated_step_error = 9.44044021641167100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-176 "" best_h = 4.000000E-6 "" opt_iter = 3 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 6.335371392617306000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 "" estimated_step_error = 6.335371392617306000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-168 "" best_h = 8.000000E-6 "" opt_iter = 4 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.251594707130319500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-160 "" estimated_step_error = 4.251594707130319500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 2.853195480908763000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-152 "" estimated_step_error = 2.853195480908763000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.9147451570588833000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-144 "" estimated_step_error = 1.9147451570588833000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.28496114926386680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-136 "" estimated_step_error = 1.28496114926386680000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 8.623193751672547000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 "" estimated_step_error = 8.623193751672547000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-129 "" best_h = 2.560000E-4 "" opt_iter = 9 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 5.7868809957316230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 "" estimated_step_error = 5.7868809957316230000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-121 "" best_h = 5.120000E-4 "" opt_iter = 10 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.88344785832068500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-113 "" estimated_step_error = 3.88344785832068500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 2.6060542057123004000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-105 "" estimated_step_error = 2.6060542057123004000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.74878125159457100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-97 "" estimated_step_error = 1.74878125159457100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 1.173436742978699600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-89 "" estimated_step_error = 1.173436742978699600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 7.8727807875841280000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 "" estimated_step_error = 7.8727807875841280000000000000000000000000000000000000000000000000000000000000000000000000000000000E-82 "" best_h = 1.638400E-2 "" opt_iter = 15 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 5.280622522761977000000000000000000000000000000000000000000000000000000000000000000000000000E-74 "" estimated_step_error = 5.280622522761977000000000000000000000000000000000000000000000000000000000000000000000000000E-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 = 3.540126366427311000000000000000000000000000000000000000000000000000000000000000000E-66 "" estimated_step_error = 3.540126366427311000000000000000000000000000000000000000000000000000000000000000000E-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 = 2.37085258139452030000000000000000000000000000000000000000000000000000000000E-58 "" estimated_step_error = 2.37085258139452030000000000000000000000000000000000000000000000000000000000E-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 = 1.584490988421280700000000000000000000000000000000000000000000000000E-50 "" estimated_step_error = 1.584490988421280700000000000000000000000000000000000000000000000000E-50 "" best_h = 0.1 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = -5. " " y[1] (analytic) = 1.4326756290735476 " " y[1] (numeric) = 1.4326756290735476 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2720105554446847 " " Order of pole (three term test) = 22.91953576453822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.99 " " y[1] (analytic) = 1.451882160909145 " " y[1] (numeric) = 1.4518821609091457 " " absolute error = 6.6613381477509390000000000000000E-16 " " relative error = 4.58807080016722440000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26356599922604296 " " Order of pole (three term test) = 22.924891708617597 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.98 " " y[1] (analytic) = 1.4711435040718883 " " y[1] (numeric) = 1.4711435040718894 " " absolute error = 1.1102230246251565000000000000000E-15 " " relative error = 7.54666707600066200000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25501602012187713 " " Order of pole (three term test) = 22.930077701678666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.970000000000000 " " y[1] (analytic) = 1.4904577324435122 " " y[1] (numeric) = 1.4904577324435138 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.0428422092366360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24636403800983075 " " Order of pole (three term test) = 22.935091669393344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.960000000000000 " " y[1] (analytic) = 1.509822914617275 " " y[1] (numeric) = 1.5098229146172766 " " absolute error = 1.5543122344752192000000000000000E-15 " " relative error = 1.0294665814296650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23761351356739058 " " Order of pole (three term test) = 22.939931606241423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.950000000000001 " " y[1] (analytic) = 1.5292371140910959 " " y[1] (numeric) = 1.529237114091098 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.45199591926595230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22876794688766142 " " Order of pole (three term test) = 22.944595576312675 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.940000000000001 " " y[1] (analytic) = 1.5486983894612067 " " y[1] (numeric) = 1.5486983894612094 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 1.7204997933957750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21983087607937582 " " Order of pole (three term test) = 22.949081714081274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.9300000000000015 " " y[1] (analytic) = 1.568204794616288 " " y[1] (numeric) = 1.5682047946162911 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 1.98228221187849630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21080587585169777 " " Order of pole (three term test) = 22.953388225151915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.920000000000002 " " y[1] (analytic) = 1.5877543789320798 " " y[1] (numeric) = 1.5877543789320832 " " absolute error = 3.3306690738754696000000000000000E-15 " " relative error = 2.09772312271352100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20169655608438633 " " Order of pole (three term test) = 22.957513386977585 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.910000000000002 " " y[1] (analytic) = 1.6073451874664415 " " y[1] (numeric) = 1.607345187466445 " " absolute error = 3.552713678800501000000000000000E-15 " " relative error = 2.21029913580692820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19250656038389283 " " Order of pole (three term test) = 22.96145554954856 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.900000000000002 " " y[1] (analytic) = 1.6269752611548451 " " y[1] (numeric) = 1.6269752611548491 " " absolute error = 3.9968028886505635000000000000000E-15 " " relative error = 2.4565849180851030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18323956462596586 " " Order of pole (three term test) = 22.965213136052377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.890000000000002 " " y[1] (analytic) = 1.64664263700628 " " y[1] (numeric) = 1.6466426370062848 " " absolute error = 4.6629367034256575000000000000000E-15 " " relative error = 2.8317842612791970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17389927548535003 " " Order of pole (three term test) = 22.968784643504534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.880000000000003 " " y[1] (analytic) = 1.6663453482995512 " " y[1] (numeric) = 1.6663453482995563 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.06480641512113130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16448942895316607 " " Order of pole (three term test) = 22.97216864334966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.870000000000003 " " y[1] (analytic) = 1.6860814247799478 " " y[1] (numeric) = 1.6860814247799532 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.1606246530450060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15501378884256412 " " Order of pole (three term test) = 22.975363782032954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.860000000000003 " " y[1] (analytic) = 1.7058488928562685 " " y[1] (numeric) = 1.7058488928562743 " " absolute error = 5.773159728050814000000000000000E-15 " " relative error = 3.38433242957660360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14547614528324804 " " Order of pole (three term test) = 22.97836878154153 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.850000000000003 " " y[1] (analytic) = 1.7256457757981782 " " y[1] (numeric) = 1.7256457757981847 " " absolute error = 6.439293542825908000000000000000E-15 " " relative error = 3.7315268481722350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1358803132054746 " " Order of pole (three term test) = 22.981182439915656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.840000000000003 " " y[1] (analytic) = 1.7454700939338808 " " y[1] (numeric) = 1.7454700939338874 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 3.8163576511000785000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12623013081413237 " " Order of pole (three term test) = 22.98380363172949 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.830000000000004 " " y[1] (analytic) = 1.765319864848082 " " y[1] (numeric) = 1.7653198648480892 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.1507899550864760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11652945805351067 " " Order of pole (three term test) = 22.98623130854127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.820000000000004 " " y[1] (analytic) = 1.7851931035802324 " " y[1] (numeric) = 1.78519310358024 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.22896355151181850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10678217506337286 " " Order of pole (three term test) = 22.988464499312624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.810000000000004 " " y[1] (analytic) = 1.8050878228230198 " " y[1] (numeric) = 1.8050878228230276 " " absolute error = 7.771561172376096000000000000000E-15 " " relative error = 4.305364577897360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.69921806269529600E-2 " " Order of pole (three term test) = 22.990502310797037 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.800000000000004 " " y[1] (analytic) = 1.8250020331210983 " " y[1] (numeric) = 1.8250020331211068 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 4.6233893628716330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.71633906114942300E-2 " " Order of pole (three term test) = 22.992343927897068 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.7900000000000045 " " y[1] (analytic) = 1.8449337430700337 " " y[1] (numeric) = 1.8449337430700425 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 4.8141480583588080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.72997364019538400E-2 " " Order of pole (three term test) = 22.99398861399043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.780000000000005 " " y[1] (analytic) = 1.8648809595154408 " " y[1] (numeric) = 1.8648809595154499 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 4.881721139075690400000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.7405163328502200E-2 " " Order of pole (three term test) = 22.99543571122463 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.770000000000005 " " y[1] (analytic) = 1.884841687752297 " " y[1] (numeric) = 1.8848416877523069 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 5.1834393732834970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.748362908844252000E-2 " " Order of pole (three term test) = 22.996684640780064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.760000000000005 " " y[1] (analytic) = 1.904813931724414 " " y[1] (numeric) = 1.9048139317244237 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 5.1290902769997610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.75391021631857760E-2 " " Order of pole (three term test) = 22.997734903101563 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.750000000000005 " " y[1] (analytic) = 1.924795694224036 " " y[1] (numeric) = 1.9247956942240467 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.5372843301679540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.75755602309099930E-2 " " Order of pole (three term test) = 22.99858607809819 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.7400000000000055 " " y[1] (analytic) = 1.9447849770915662 " " y[1] (numeric) = 1.9447849770915773 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.7087186383221630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.759698857554258000E-2 " " Order of pole (three term test) = 22.999237825311305 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.730000000000006 " " y[1] (analytic) = 1.9647797814153747 " " y[1] (numeric) = 1.9647797814153862 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.8766481441416140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.76073784926999100E-2 " " Order of pole (three term test) = 22.99968988405071 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.720000000000006 " " y[1] (analytic) = 1.984778107731692 " " y[1] (numeric) = 1.9847781077317035 " " absolute error = 1.154631945610162800000000000000E-14 " " relative error = 5.8174359194728140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.610725693222086000E-3 " " Order of pole (three term test) = 22.999942073498946 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.710000000000006 " " y[1] (analytic) = 2.004777956224551 " " y[1] (numeric) = 2.004777956224563 " " absolute error = 1.19904086659516900000000000000E-14 " " relative error = 5.9809160554280700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.3889712950580397000E-3 " " Order of pole (three term test) = 22.999994292783583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.700000000000006 " " y[1] (analytic) = 2.0247773269257685 " " y[1] (numeric) = 2.0247773269257814 " " absolute error = 1.287858708565181600000000000000E-14 " " relative error = 6.3604955045626930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.238771272667267400E-2 " " Order of pole (three term test) = 22.999846521017602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.690000000000007 " " y[1] (analytic) = 2.0447742199149417 " " y[1] (numeric) = 2.044774219914955 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 6.5154754817165460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.23814992383639280E-2 " " Order of pole (three term test) = 22.99949881730775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.680000000000007 " " y[1] (analytic) = 2.064766635519435 " " y[1] (numeric) = 2.0647666355194487 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.6674680172215320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.23663334487758700E-2 " " Order of pole (three term test) = 22.998951320730878 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.670000000000007 " " y[1] (analytic) = 2.084752574514349 " " y[1] (numeric) = 2.0847525745143627 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.6035488688910540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.23382215573536600E-2 " " Order of pole (three term test) = 22.9982042502783 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.660000000000007 " " y[1] (analytic) = 2.1047300383224377 " " y[1] (numeric) = 2.104730038322452 " " absolute error = 1.421085471520200400000000000000E-14 " " relative error = 6.7518657768236530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.22931749418105600E-2 " " Order of pole (three term test) = 22.997257904768244 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.6500000000000075 " " y[1] (analytic) = 2.1246970292139693 " " y[1] (numeric) = 2.124697029213984 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 6.8974275972295470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.222721175352377000E-2 " " Order of pole (three term test) = 22.996112662726304 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.640000000000008 " " y[1] (analytic) = 2.1446515505064934 " " y[1] (numeric) = 2.1446515505065085 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 7.0403199677524560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.21363585102207200E-2 " " Order of pole (three term test) = 22.994768982234014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.630000000000008 " " y[1] (analytic) = 2.1645916067645086 " " y[1] (numeric) = 2.1645916067645246 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 7.3857865403529410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.20166516853188900E-2 " " Order of pole (three term test) = 22.993227400745667 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.620000000000008 " " y[1] (analytic) = 2.1845152039990072 " " y[1] (numeric) = 2.1845152039990237 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 7.5217149939597240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.1864139293283700E-2 " " Order of pole (three term test) = 22.991488534873305 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.610000000000008 " " y[1] (analytic) = 2.2044203498668686 " " y[1] (numeric) = 2.204420349866885 " " absolute error = 1.643130076445231700000000000000E-14 " " relative error = 7.453796534515140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10167488247037001 " " Order of pole (three term test) = 22.989553080140077 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.6000000000000085 " " y[1] (analytic) = 2.2243050538700917 " " y[1] (numeric) = 2.2243050538701095 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.9861205921802340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11144495705011512 " " Order of pole (three term test) = 22.987421810702088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.590000000000009 " " y[1] (analytic) = 2.244167327554849 " " y[1] (numeric) = 2.244167327554867 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 7.915438468377021000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12117045513295327 " " Order of pole (three term test) = 22.98509557903868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.580000000000009 " " y[1] (analytic) = 2.2640051847103226 " " y[1] (numeric) = 2.264005184710341 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 8.0422331745597210000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13084748664932278 " " Order of pole (three term test) = 22.982575315611516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.570000000000010 " " y[1] (analytic) = 2.283816641567329 " " y[1] (numeric) = 2.2838166415673475 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 8.1669195653563410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14047218091564237 " " Order of pole (three term test) = 22.979862028492366 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.560000000000010 " " y[1] (analytic) = 2.3035997169966915 " " y[1] (numeric) = 2.3035997169967106 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 8.2895634526508830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1500406881825332 " " Order of pole (three term test) = 22.97695680295988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.55000000000001 " " y[1] (analytic) = 2.3233524327073534 " " y[1] (numeric) = 2.323352432707373 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 8.4102286671304940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15954918117466696 " " Order of pole (three term test) = 22.97386080106556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.54000000000001 " " y[1] (analytic) = 2.3430728134442047 " " y[1] (numeric) = 2.343072813444224 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 8.1499114811898340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1689938566216246 " " Order of pole (three term test) = 22.970575261168868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.53000000000001 " " y[1] (analytic) = 2.3627588871856036 " " y[1] (numeric) = 2.3627588871856235 " " absolute error = 1.998401444325281800000000000000E-14 " " relative error = 8.4579152581483860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17837093677915522 " " Order of pole (three term test) = 22.967101497441966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.52000000000001 " " y[1] (analytic) = 2.3824086853405824 " " y[1] (numeric) = 2.382408685340603 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.5745589238323890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18767667094022164 " " Order of pole (three term test) = 22.963440899344025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.5100000000000104 " " y[1] (analytic) = 2.4020202429457003 " " y[1] (numeric) = 2.4020202429457207 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.5045509974766160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19690733693523407 " " Order of pole (three term test) = 22.95959493106547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.500000000000010 " " y[1] (analytic) = 2.4215915988615384 " " y[1] (numeric) = 2.4215915988615597 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 8.8025916850820010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20605924262086864 " " Order of pole (three term test) = 22.955565130942343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.490000000000010 " " y[1] (analytic) = 2.441120795968816 " " y[1] (numeric) = 2.4411207959688377 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.9140903303873400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21512872735687458 " " Order of pole (three term test) = 22.951353110840955 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.480000000000011 " " y[1] (analytic) = 2.4606058813640965 " " y[1] (numeric) = 2.4606058813641183 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.8435012886296440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22411216347028282 " " Order of pole (three term test) = 22.9469605555132 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.470000000000011 " " y[1] (analytic) = 2.4800449065550776 " " y[1] (numeric) = 2.4800449065550993 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 8.7741843807495620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23300595770642532 " " Order of pole (three term test) = 22.942389221922628 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.4600000000000115 " " y[1] (analytic) = 2.4994359276554388 " " y[1] (numeric) = 2.499435927655461 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 8.8837886367952290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24180655266618978 " " Order of pole (three term test) = 22.937640938541744 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.450000000000012 " " y[1] (analytic) = 2.5187770055792296 " " y[1] (numeric) = 2.5187770055792527 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 9.1681950649270630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25051042822893255 " " Order of pole (three term test) = 22.932717604620567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.440000000000012 " " y[1] (analytic) = 2.5380662062347756 " " y[1] (numeric) = 2.538066206234799 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 9.2734886364410820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2591141029604778 " " Order of pole (three term test) = 22.927621189427025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.430000000000012 " " y[1] (analytic) = 2.5573016007180858 " " y[1] (numeric) = 2.557301600718109 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 9.0300803416065150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26761413550564783 " " Order of pole (three term test) = 22.922353731459275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.420000000000012 " " y[1] (analytic) = 2.5764812655057394 " " y[1] (numeric) = 2.5764812655057634 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 9.3075845933605770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27600712596475613 " " Order of pole (three term test) = 22.91691733763022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.410000000000013 " " y[1] (analytic) = 2.595603282647242 " " y[1] (numeric) = 2.5956032826472666 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.4101077406723770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2842897172535246 " " Order of pole (three term test) = 22.91131418242495 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.400000000000013 " " y[1] (analytic) = 2.6146657399568154 " " y[1] (numeric) = 2.61466573995684 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.3415024981957540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2924585964458709 " " Order of pole (three term test) = 22.905546507030834 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.390000000000013 " " y[1] (analytic) = 2.6336667312046114 " " y[1] (numeric) = 2.633666731204637 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.7799671712914750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30051049609903463 " " Order of pole (three term test) = 22.899616618441115 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.380000000000013 " " y[1] (analytic) = 2.652604356307342 " " y[1] (numeric) = 2.652604356307368 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.7101454689458010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30844219556051183 " " Order of pole (three term test) = 22.89352688853217 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.370000000000013 " " y[1] (analytic) = 2.6714767215182764 " " y[1] (numeric) = 2.6714767215183026 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.8077827780070540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31625052225627276 " " Order of pole (three term test) = 22.88727975311477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.360000000000014 " " y[1] (analytic) = 2.6902819396166215 " " y[1] (numeric) = 2.6902819396166477 " " absolute error = 2.620126338115369400000000000000E-14 " " relative error = 9.7392258392395480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32393235295974887 " " Order of pole (three term test) = 22.880877710959776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.350000000000014 " " y[1] (analytic) = 2.7090181300962373 " " y[1] (numeric) = 2.7090181300962644 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 9.9997270228278130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33148461504108095 " " Order of pole (three term test) = 22.874323322798713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.340000000000014 " " y[1] (analytic) = 2.7276834193536903 " " y[1] (numeric) = 2.727683419353718 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 1.009410799484487000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3389042876961329 " " Order of pole (three term test) = 22.867619210299427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.330000000000014 " " y[1] (analytic) = 2.7462759408756092 " " y[1] (numeric) = 2.7462759408756368 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 1.0025770025835505000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3461884031547698 " " Order of pole (three term test) = 22.86076805501755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.3200000000000145 " " y[1] (analytic) = 2.7647938354253343 " " y[1] (numeric) = 2.7647938354253627 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.0279865741248526000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3533340478679289 " " Order of pole (three term test) = 22.85377259732385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.310000000000015 " " y[1] (analytic) = 2.7832352512288434 " " y[1] (numeric) = 2.7832352512288723 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.0371311094708703000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3603383636729985 " " Order of pole (three term test) = 22.84663563530812 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.300000000000015 " " y[1] (analytic) = 2.801598344159923 " " y[1] (numeric) = 2.801598344159953 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0620357883198318000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3671985489370463 " " Order of pole (three term test) = 22.83936002366002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.290000000000015 " " y[1] (analytic) = 2.8198812779245834 " " y[1] (numeric) = 2.8198812779246136 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0708984986782798000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37391185967743484 " " Order of pole (three term test) = 22.831948672527183 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.280000000000015 " " y[1] (analytic) = 2.8380822242446833 " " y[1] (numeric) = 2.838082224244714 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0796782143198586000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38047561065937735 " " Order of pole (three term test) = 22.824404546351268 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.270000000000016 " " y[1] (analytic) = 2.8561993630407585 " " y[1] (numeric) = 2.8561993630407896 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0883779715015914000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3868871764699968 " " Order of pole (three term test) = 22.816730662682154 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.260000000000016 " " y[1] (analytic) = 2.874230882614027 " " y[1] (numeric) = 2.874230882614058 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0815500201303374000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39314399256845467 " " Order of pole (three term test) = 22.808930090970975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.250000000000016 " " y[1] (analytic) = 2.8921749798275567 " " y[1] (numeric) = 2.8921749798275886 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.105549399058523000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39924355631173536 " " Order of pole (three term test) = 22.801005951342418 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.240000000000016 " " y[1] (analytic) = 2.9100298602865813 " " y[1] (numeric) = 2.910029860286613 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0835055107045988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.405183427955668 " " Order of pole (three term test) = 22.7929614133467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.230000000000016 " " y[1] (analytic) = 2.9277937385179316 " " y[1] (numeric) = 2.927793738517964 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.1072676292922545000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.410961231630792 " " Order of pole (three term test) = 22.78479969469173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.220000000000017 " " y[1] (analytic) = 2.94546483814859 " " y[1] (numeric) = 2.9454648381486224 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.1006246585999527000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41657465629267365 " " Order of pole (three term test) = 22.776524059956166 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.210000000000017 " " y[1] (analytic) = 2.9630413920833183 " " y[1] (numeric) = 2.9630413920833507 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0940958302395187000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42202145664629276 " " Order of pole (three term test) = 22.768137819283552 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.200000000000017 " " y[1] (analytic) = 2.980521642681369 " " y[1] (numeric) = 2.9805216426814027 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1323782879241744000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4272994540441315 " " Order of pole (three term test) = 22.759644327058353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.190000000000017 " " y[1] (analytic) = 2.997903841932251 " " y[1] (numeric) = 2.997903841932285 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1406259493771843000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4324065373576023 " " Order of pole (three term test) = 22.751046980564215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.1800000000000175 " " y[1] (analytic) = 3.0151862516305243 " " y[1] (numeric) = 3.015186251630558 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1193597055688792000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4373406638214741 " " Order of pole (three term test) = 22.742349218625098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.170000000000018 " " y[1] (analytic) = 3.032367143549619 " " y[1] (numeric) = 3.0323671435496538 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.1423075349562493000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.442099859850948 " " Order of pole (three term test) = 22.733554520229795 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.160000000000018 " " y[1] (analytic) = 3.049444799614662 " " y[1] (numeric) = 3.0494447996146974 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1650362319230811000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.446682221831068 " " Order of pole (three term test) = 22.724666403140436 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.150000000000018 " " y[1] (analytic) = 3.0664175120742785 " " y[1] (numeric) = 3.066417512074314 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1585877216039206000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.451085916878139 " " Order of pole (three term test) = 22.71568842248533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.140000000000018 " " y[1] (analytic) = 3.083283583671366 " " y[1] (numeric) = 3.0832835836714017 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1522500549787798000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45530918357285743 " " Order of pole (three term test) = 22.70662416933703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.1300000000000185 " " y[1] (analytic) = 3.1000413278128196 " " y[1] (numeric) = 3.100041327812855 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.146021392336423000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.459350332664855 " " Order of pole (three term test) = 22.69747726927595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.120000000000019 " " y[1] (analytic) = 3.1166890687381894 " " y[1] (numeric) = 3.1166890687382254 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.1541486880633313000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4632077477483759 " " Order of pole (three term test) = 22.68825138094015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.110000000000019 " " y[1] (analytic) = 3.133225141687257 " " y[1] (numeric) = 3.133225141687293 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.148057492558111900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4668798859088187 " " Order of pole (three term test) = 22.67895019456198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.100000000000020 " " y[1] (analytic) = 3.149647893066506 " " y[1] (numeric) = 3.1496478930665432 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1843702818185962000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4703652783398799 " " Order of pole (three term test) = 22.669577430491938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.090000000000020 " " y[1] (analytic) = 3.165955680614486 " " y[1] (numeric) = 3.1659556806145233 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.178269609262659000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4736625309310588 " " Order of pole (three term test) = 22.660136837710702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.08000000000002 " " y[1] (analytic) = 3.1821468735660314 " " y[1] (numeric) = 3.1821468735660687 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1722744143987793000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4767703248252812 " " Order of pole (three term test) = 22.65063219232951 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.07000000000002 " " y[1] (analytic) = 3.1982198528153383 " " y[1] (numeric) = 3.1982198528153765 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1941540545902718000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4796874169464265 " " Order of pole (three term test) = 22.641067296079797 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.06000000000002 " " y[1] (analytic) = 3.214173011077878 " " y[1] (numeric) = 3.214173011077916 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1882270156421278000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4824126404965403 " " Order of pole (three term test) = 22.631445974792516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.05000000000002 " " y[1] (analytic) = 3.2300047530511167 " " y[1] (numeric) = 3.2300047530511553 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1961518391098175000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4849449054225383 " " Order of pole (three term test) = 22.62177207686792 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.0400000000000205 " " y[1] (analytic) = 3.2457134955740514 " " y[1] (numeric) = 3.24571349557409 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1903626524534679000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4872831988522129 " " Order of pole (three term test) = 22.612049471736167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.030000000000020 " " y[1] (analytic) = 3.261297667785519 " " y[1] (numeric) = 3.2612976677855583 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1982914302128528000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4894265854993695 " " Order of pole (three term test) = 22.602282048309704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.020000000000021 " " y[1] (analytic) = 3.276755711281286 " " y[1] (numeric) = 3.276755711281326 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.2197439299152770000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4913742080379272 " " Order of pole (three term test) = 22.59247371342765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.010000000000021 " " y[1] (analytic) = 3.2920860802698853 " " y[1] (numeric) = 3.2920860802699248 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.200574307990616000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4931252874448384 " " Order of pole (three term test) = 22.5826283902932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.000000000000021 " " y[1] (analytic) = 3.3072872417271917 " " y[1] (numeric) = 3.3072872417272317 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.208483750133321000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49467912331168773 " " Order of pole (three term test) = 22.57275001690433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9900000000000215 " " y[1] (analytic) = 3.3223576755497284 " " y[1] (numeric) = 3.3223576755497684 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.2030019880352705000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49603509412484625 " " Order of pole (three term test) = 22.562842544478674 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9800000000000217 " " y[1] (analytic) = 3.33729587470667 " " y[1] (numeric) = 3.337295874706711 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.2375377571125873000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49719265751406794 " " Order of pole (three term test) = 22.55290993587313 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.970000000000022 " " y[1] (analytic) = 3.352100345390552 " " y[1] (numeric) = 3.3521003453905927 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2188241131381054000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49815135046943093 " " Order of pole (three term test) = 22.542956163998685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.960000000000022 " " y[1] (analytic) = 3.36676960716664 " " y[1] (numeric) = 3.3667696071666815 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.226703972500594000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49891078952653556 " " Order of pole (three term test) = 22.53298521023138 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9500000000000224 " " y[1] (analytic) = 3.381302193120983 " " y[1] (numeric) = 3.3813021931210248 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2345653639249353000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4994706709198849 " " Order of pole (three term test) = 22.523001062819784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9400000000000226 " " y[1] (analytic) = 3.3956966500070953 " " y[1] (numeric) = 3.395696650007137 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2293320054316000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49983077070438636 " " Order of pole (three term test) = 22.513007715289742 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.930000000000023 " " y[1] (analytic) = 3.409951538391283 " " y[1] (numeric) = 3.4099515383913253 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 1.2372162613096624000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999909448449277 " " Order of pole (three term test) = 22.503009164847015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.920000000000023 " " y[1] (analytic) = 3.4240654327965876 " " y[1] (numeric) = 3.4240654327966302 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 1.2450861405059682000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999511292739878 " " Order of pole (three term test) = 22.493009410778463 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9100000000000232 " " y[1] (analytic) = 3.43803692184533 " " y[1] (numeric) = 3.438036921845373 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 1.2400263614017104000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49971133991726463 " " Order of pole (three term test) = 22.4830124528524 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.9000000000000234 " " y[1] (analytic) = 3.451864608400248 " " y[1] (numeric) = 3.451864608400291 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 1.2479241871372168000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49927167268730377 " " Order of pole (three term test) = 22.473022289718703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8900000000000237 " " y[1] (analytic) = 3.465547109704209 " " y[1] (numeric) = 3.4655471097042523 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 1.2429971947238296000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4986323034451347 " " Order of pole (three term test) = 22.463042917309405 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.880000000000024 " " y[1] (analytic) = 3.4790830575184852 " " y[1] (numeric) = 3.4790830575185283 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 1.2381611086393902000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4977934879299297 " " Order of pole (three term test) = 22.453078327240444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.870000000000024 " " y[1] (analytic) = 3.492471098259574 " " y[1] (numeric) = 3.4924710982596174 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.246130357012664000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4967555616567107 " " Order of pole (three term test) = 22.443132505214965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8600000000000243 " " y[1] (analytic) = 3.5057098931345587 " " y[1] (numeric) = 3.5057098931346027 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2540921272822705000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49551893978214817 " " Order of pole (three term test) = 22.433209429429176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8500000000000245 " " y[1] (analytic) = 3.518798118274984 " " y[1] (numeric) = 3.5187981182750283 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.262047991738065000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49408411693850396 " " Order of pole (three term test) = 22.423313068981095 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8400000000000247 " " y[1] (analytic) = 3.531734464869243 " " y[1] (numeric) = 3.531734464869287 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.2574252517211945000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4924516670357847 " " Order of pole (three term test) = 22.413447382282932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.830000000000025 " " y[1] (analytic) = 3.5445176392934563 " " y[1] (numeric) = 3.5445176392935007 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.2528903931159016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49062224303218605 " " Order of pole (three term test) = 22.403616315477844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.820000000000025 " " y[1] (analytic) = 3.5571463632408333 " " y[1] (numeric) = 3.5571463632408786 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.2734111779262647000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48859657667291695 " " Order of pole (three term test) = 22.393823800861462 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8100000000000254 " " y[1] (analytic) = 3.5696193738495046 " " y[1] (numeric) = 3.56961937384955 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.2689616079671162000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4863754781975129 " " Order of pole (three term test) = 22.384073755309075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.8000000000000256 " " y[1] (analytic) = 3.581935423828802 " " y[1] (numeric) = 3.581935423828848 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2893944853712117000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4839598360157498 " " Order of pole (three term test) = 22.3743700787089 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.790000000000026 " " y[1] (analytic) = 3.5940932815839925 " " y[1] (numeric) = 3.5940932815840383 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 1.272676723471054000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48135061635229204 " " Order of pole (three term test) = 22.364716652402194 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.780000000000026 " " y[1] (analytic) = 3.606091731339431 " " y[1] (numeric) = 3.6060917313394767 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 1.2684421812410895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4785488628602161 " " Order of pole (three term test) = 22.355117337630777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.770000000000026 " " y[1] (analytic) = 3.61792957326014 " " y[1] (numeric) = 3.6179295732601866 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 1.2888412029601380000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47555569620356264 " " Order of pole (three term test) = 22.345575973992567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7600000000000264 " " y[1] (analytic) = 3.629605623571794 " " y[1] (numeric) = 3.6296056235718406 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 1.2846951396435713000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47237231360908566 " " Order of pole (three term test) = 22.3360963779058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7500000000000266 " " y[1] (analytic) = 3.6411187146790915 " " y[1] (numeric) = 3.6411187146791377 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2684364736093762000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4689999883873787 " " Order of pole (three term test) = 22.32668234108251 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.740000000000027 " " y[1] (analytic) = 3.652467695282514 " " y[1] (numeric) = 3.6524676952825614 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.3009709987395598000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4654400694235664 " " Order of pole (three term test) = 22.317337629011924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.730000000000027 " " y[1] (analytic) = 3.663651430493461 " " y[1] (numeric) = 3.6636514304935086 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2969996287981064000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46169398063776984 " " Order of pole (three term test) = 22.308065979454266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7200000000000273 " " y[1] (analytic) = 3.67466880194773 " " y[1] (numeric) = 3.674668801947778 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.3051961210323246000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45776322041555545 " " Order of pole (three term test) = 22.298871100945735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7100000000000275 " " y[1] (analytic) = 3.6855187079173577 " " y[1] (numeric) = 3.685518707917405 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2893041446751546000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45364936100860365 " " Order of pole (three term test) = 22.289756671315146 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.7000000000000277 " " y[1] (analytic) = 3.696200063420787 " " y[1] (numeric) = 3.696200063420835 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.2975930371966626000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44935404790582556 " " Order of pole (three term test) = 22.28072633621283 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.690000000000028 " " y[1] (analytic) = 3.7067118003313695 " " y[1] (numeric) = 3.706711800331418 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 1.3058939157160665000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44487899917519247 " " Order of pole (three term test) = 22.271783707652414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.680000000000028 " " y[1] (analytic) = 3.717052867484174 " " y[1] (numeric) = 3.717052867484223 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.3142081865671737000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4402260047765307 " " Order of pole (three term test) = 22.262932362566094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6700000000000284 " " y[1] (analytic) = 3.727222230781104 " " y[1] (numeric) = 3.7272222307811522 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 1.2987077473916164000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4353969258455597 " " Order of pole (three term test) = 22.25417584137389 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6600000000000286 " " y[1] (analytic) = 3.7372188732943012 " " y[1] (numeric) = 3.7372188732943505 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3189996081204933000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4303936939494654 " " Order of pole (three term test) = 22.24551764656752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6500000000000288 " " y[1] (analytic) = 3.7470417953678474 " " y[1] (numeric) = 3.7470417953678967 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3155418323407775000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42521831031429763 " " Order of pole (three term test) = 22.236961241309476 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.640000000000029 " " y[1] (analytic) = 3.7566900147177202 " " y[1] (numeric) = 3.7566900147177695 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3121631569343345000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4198728450245055 " " Order of pole (three term test) = 22.22851004804776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.630000000000029 " " y[1] (analytic) = 3.7661625665300242 " " y[1] (numeric) = 3.766162566530074 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 1.3206543962076870000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.414359436194934 " " Order of pole (three term test) = 22.220167447147016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6200000000000294 " " y[1] (analytic) = 3.7754585035574735 " " y[1] (numeric) = 3.7754585035575228 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.305640155941567000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40868028911560345 " " Order of pole (three term test) = 22.211936775536362 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.6100000000000296 " " y[1] (analytic) = 3.7845768962141104 " " y[1] (numeric) = 3.7845768962141597 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.302494404134526800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4028376753696243 " " Order of pole (three term test) = 22.203821325374705 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.60000000000003 " " y[1] (analytic) = 3.793516832668267 " " y[1] (numeric) = 3.7935168326683177 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3345444914580204000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3968339319245947 " " Order of pole (three term test) = 22.195824342733896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.59000000000003 " " y[1] (analytic) = 3.802277418933751 " " y[1] (numeric) = 3.802277418933801 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3197900937783053000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39067146019784393 " " Order of pole (three term test) = 22.187949026300373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5800000000000303 " " y[1] (analytic) = 3.8108577789592335 " " y[1] (numeric) = 3.810857778959284 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3284717735316123000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3843527250958973 " " Order of pole (three term test) = 22.180198526095708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5700000000000305 " " y[1] (analytic) = 3.8192570547158633 " " y[1] (numeric) = 3.8192570547159144 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.337177843782411000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3778802540285468 " " Order of pole (three term test) = 22.17257594221664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5600000000000307 " " y[1] (analytic) = 3.8274744062830646 " " y[1] (numeric) = 3.827474406283115 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3227043357834287000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3712566358979216 " " Order of pole (three term test) = 22.16508432359509 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.550000000000031 " " y[1] (analytic) = 3.835509011932527 " " y[1] (numeric) = 3.835509011932578 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3315119055612745000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36448452006295917 " " Order of pole (three term test) = 22.15772666677862 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.540000000000031 " " y[1] (analytic) = 3.843360068210383 " " y[1] (numeric) = 3.8433600682104334 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3172372357628373000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3575666152797008 " " Order of pole (three term test) = 22.150505914731855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5300000000000313 " " y[1] (analytic) = 3.8510267900175457 " " y[1] (numeric) = 3.8510267900175963 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3146148464647910000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35050568861782155 " " Order of pole (three term test) = 22.143424955659334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5200000000000315 " " y[1] (analytic) = 3.8585084106882235 " " y[1] (numeric) = 3.8585084106882745 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3235751667999615000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34330456435384216 " " Order of pole (three term test) = 22.136486621850285 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.5100000000000318 " " y[1] (analytic) = 3.8658041820665847 " " y[1] (numeric) = 3.865804182066636 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3210772384610547000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3359661228414543 " " Order of pole (three term test) = 22.12969368854571 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.500000000000032 " " y[1] (analytic) = 3.87291337458157 " " y[1] (numeric) = 3.8729133745816218 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3415853267844113000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3284932993594187 " " Order of pole (three term test) = 22.12304887282837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.490000000000032 " " y[1] (analytic) = 3.879835277319854 " " y[1] (numeric) = 3.8798352773199056 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3277457587888317000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32088908293749124 " " Order of pole (three term test) = 22.116554832535947 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4800000000000324 " " y[1] (analytic) = 3.8865691980969306 " " y[1] (numeric) = 3.8865691980969816 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3140190365776555000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3131565151608531 " " Order of pole (three term test) = 22.11021416519798 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4700000000000326 " " y[1] (analytic) = 3.8931144635263326 " " y[1] (numeric) = 3.8931144635263837 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3118098532992636000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3052986889535152 " " Order of pole (three term test) = 22.10402940699685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.460000000000033 " " y[1] (analytic) = 3.8994704190869722 " " y[1] (numeric) = 3.8994704190870233 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.309671664202926900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2973187473411908 " " Order of pole (three term test) = 22.09800303175339 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.450000000000033 " " y[1] (analytic) = 3.90563642918859 " " y[1] (numeric) = 3.905636429188641 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3076040245601464000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28921988219412686 " " Order of pole (three term test) = 22.09213744993734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4400000000000333 " " y[1] (analytic) = 3.9116118772353135 " " y[1] (numeric) = 3.911611877235365 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.316959605384393800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28100533295039914 " " Order of pole (three term test) = 22.086435007703216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4300000000000335 " " y[1] (analytic) = 3.917396165687318 " " y[1] (numeric) = 3.91739616568737 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3263513659293397000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2726783853201792 " " Order of pole (three term test) = 22.08089798595189 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.4200000000000337 " " y[1] (analytic) = 3.922988716120579 " " y[1] (numeric) = 3.9229887161206314 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3357807160385600000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.264242369971494 " " Order of pole (three term test) = 22.075528599418234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.410000000000034 " " y[1] (analytic) = 3.928388969284713 " " y[1] (numeric) = 3.9283889692847658 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3452490673748085000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2557006611980052 " " Order of pole (three term test) = 22.07032899578526 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.400000000000034 " " y[1] (analytic) = 3.9335963851589044 " " y[1] (numeric) = 3.9335963851589573 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3434681852856803000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2470566755693337 " " Order of pole (three term test) = 22.065301254825105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3900000000000343 " " y[1] (analytic) = 3.9386104430059046 " " y[1] (numeric) = 3.938610443005958 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3530331560624367000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23831387056447986 " " Order of pole (three term test) = 22.06044738756711 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3800000000000345 " " y[1] (analytic) = 3.943430641424108 " " y[1] (numeric) = 3.943430641424161 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3513792945211386000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22947574318887587 " " Order of pole (three term test) = 22.05576933549347 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3700000000000347 " " y[1] (analytic) = 3.9480564983976887 " " y[1] (numeric) = 3.948056498397742 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3497959110675200000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22054582857563235 " " Order of pole (three term test) = 22.05126896976264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.360000000000035 " " y[1] (analytic) = 3.952487551344804 " " y[1] (numeric) = 3.952487551344858 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.359518371501884000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2115276985715303 " " Order of pole (three term test) = 22.04694809046089 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.350000000000035 " " y[1] (analytic) = 3.9567233571638534 " " y[1] (numeric) = 3.956723357163907 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.358062961226944000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2024249603083313 " " Order of pole (three term test) = 22.042808425882352 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3400000000000354 " " y[1] (analytic) = 3.960763492277784 " " y[1] (numeric) = 3.960763492277837 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3454654711372507000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19324125475997234 " " Order of pole (three term test) = 22.038851631837655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3300000000000356 " " y[1] (analytic) = 3.9646075526764504 " " y[1] (numeric) = 3.9646075526765037 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3441609156505720000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18398025528622547 " " Order of pole (three term test) = 22.035079290991664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.320000000000036 " " y[1] (analytic) = 3.968255153957016 " " y[1] (numeric) = 3.96825515395707 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3541164140686612000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17464566616340102 " " Order of pole (three term test) = 22.03149291223041 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.310000000000036 " " y[1] (analytic) = 3.9717059313623944 " " y[1] (numeric) = 3.9717059313624477 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3417585819030530000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16524122110268943 " " Order of pole (three term test) = 22.02809393005759 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.3000000000000362 " " y[1] (analytic) = 3.9749595398177187 " " y[1] (numeric) = 3.974959539817772 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3406603173739798000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15577068175672348 " " Order of pole (three term test) = 22.02488370402075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2900000000000365 " " y[1] (analytic) = 3.978015653964855 " " y[1] (numeric) = 3.9780156539649085 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3507939401470317000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1462378362149697 " " Order of pole (three term test) = 22.021863518167496 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2800000000000367 " " y[1] (analytic) = 3.9808739681949366 " " y[1] (numeric) = 3.98087396819499 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3386684835483834000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13664649748854166 " " Order of pole (three term test) = 22.019034580531912 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.270000000000037 " " y[1] (analytic) = 3.983534196678921 " " y[1] (numeric) = 3.983534196678974 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3377745125531007000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1270005019850474 " " Order of pole (three term test) = 22.016398022651327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.260000000000037 " " y[1] (analytic) = 3.9859960733961763 " " y[1] (numeric) = 3.9859960733962305 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3592307318944688000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11730370797407631 " " Order of pole (three term test) = 22.013954899113738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2500000000000373 " " y[1] (analytic) = 3.9882593521610845 " " y[1] (numeric) = 3.9882593521611382 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3473244753438804000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10755999404394415 " " Order of pole (three term test) = 22.011706187135992 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2400000000000375 " " y[1] (analytic) = 3.9903238066476536 " " y[1] (numeric) = 3.9903238066477074 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.346627416610613200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.77732575503086800E-2 " " Order of pole (three term test) = 22.009652786172897 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2300000000000377 " " y[1] (analytic) = 3.992189230412155 " " y[1] (numeric) = 3.992189230412209 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3571221321118132000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.79474130572791400E-2 " " Order of pole (three term test) = 22.007795517557458 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.220000000000038 " " y[1] (analytic) = 3.993855436913768 " " y[1] (numeric) = 3.993855436913822 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3454366398744988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.80863907716432700E-2 " " Order of pole (three term test) = 22.00613512417235 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.210000000000038 " " y[1] (analytic) = 3.9953222595332303 " " y[1] (numeric) = 3.995322259533284 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.344942682999878000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.81941349708366800E-2 " " Order of pole (three term test) = 22.004672270152803 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.2000000000000384 " " y[1] (analytic) = 3.9965895515895014 " " y[1] (numeric) = 3.996589551589556 " " absolute error = 5.4622972811557700000000000000E-14 " " relative error = 1.3667396190292633000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.82746024252847500E-2 " " Order of pole (three term test) = 22.003407540620906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1900000000000386 " " y[1] (analytic) = 3.9976571863544335 " " y[1] (numeric) = 3.997657186354488 " " absolute error = 5.4622972811557700000000000000E-14 " " relative error = 1.3663746105595864000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.83317608157470500E-2 " " Order of pole (three term test) = 22.002341441451623 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.180000000000039 " " y[1] (analytic) = 3.9985250570654385 " " y[1] (numeric) = 3.998525057065493 " " absolute error = 5.4622972811557700000000000000E-14 " " relative error = 1.366078042077998000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.83695871462979800E-2 " " Order of pole (three term test) = 22.001474399070393 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.170000000000039 " " y[1] (analytic) = 3.9991930769361694 " " y[1] (numeric) = 3.9991930769362236 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3547453838666560000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.839206615357805500E-2 " " Order of pole (three term test) = 22.00080676028262 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.160000000000039 " " y[1] (analytic) = 3.9996611791651953 " " y[1] (numeric) = 3.9996611791652494 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.354586830602881000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.840318871295250600E-2 " " Order of pole (three term test) = 22.000338792134915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1500000000000394 " " y[1] (analytic) = 3.9999293169426835 " " y[1] (numeric) = 3.9999293169427372 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.343393598588121000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.406950242214374000E-3 " " Order of pole (three term test) = 22.00007068180829 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1400000000000396 " " y[1] (analytic) = 3.9999974634550792 " " y[1] (numeric) = 3.9999974634551334 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3544729489630608000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.5926508965294714000E-3 " " Order of pole (three term test) = 22.000002536543306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.13000000000004 " " y[1] (analytic) = 3.999865611887788 " " y[1] (numeric) = 3.999865611887843 " " absolute error = 5.4622972811557700000000000000E-14 " " relative error = 1.3656202010691473000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.159161499614976700E-2 " " Order of pole (three term test) = 22.00013438359717 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.12000000000004 " " y[1] (analytic) = 3.999533775425858 " " y[1] (numeric) = 3.999533775425913 " " absolute error = 5.4622972811557700000000000000E-14 " " relative error = 1.365733504919373000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.158594260432442300E-2 " " Order of pole (three term test) = 22.000466170232794 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1100000000000403 " " y[1] (analytic) = 3.999001987252658 " " y[1] (numeric) = 3.9990019872527127 " " absolute error = 5.4622972811557700000000000000E-14 " " relative error = 1.3659151204644450000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.15716361232660700E-2 " " Order of pole (three term test) = 22.000997763739985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.1000000000000405 " " y[1] (analytic) = 3.9982703005465625 " " y[1] (numeric) = 3.9982703005466167 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3550580508351676000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.15447014087079100E-2 " " Order of pole (three term test) = 22.001728951488385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0900000000000407 " " y[1] (analytic) = 3.9973387884756315 " " y[1] (numeric) = 3.9973387884756857 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3553738241528568000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.15011493675083400E-2 " " Order of pole (three term test) = 22.002659441012682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.080000000000041 " " y[1] (analytic) = 3.9962075441902964 " " y[1] (numeric) = 3.9962075441903506 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.3557575026470567000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.143699755323444000E-2 " " Order of pole (three term test) = 22.00378886012943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.070000000000041 " " y[1] (analytic) = 3.994876680814043 " " y[1] (numeric) = 3.994876680814097 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.356209163149124000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.13482717590884100E-2 " " Order of pole (three term test) = 22.005116757086085 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0600000000000414 " " y[1] (analytic) = 3.9933463314321003 " " y[1] (numeric) = 3.993346331432154 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3456081674886214000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.12310076075363200E-2 " " Order of pole (three term test) = 22.006642600741547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0500000000000416 " " y[1] (analytic) = 3.9916166490781304 " " y[1] (numeric) = 3.991616649078184 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3461912582278587000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.10812521360069200E-2 " " Order of pole (three term test) = 22.008365780778696 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.040000000000042 " " y[1] (analytic) = 3.989687806718927 " " y[1] (numeric) = 3.9896878067189814 " " absolute error = 5.41788836017076400000000000000E-14 " " relative error = 1.357973010080298000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10089506537802359 " " Order of pole (three term test) = 22.01028560794851 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.030000000000042 " " y[1] (analytic) = 3.9875599972371205 " " y[1] (numeric) = 3.9875599972371742 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3475607747366572000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11066852193913868 " " Order of pole (three term test) = 22.01240131434569 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.020000000000042 " " y[1] (analytic) = 3.985233433411884 " " y[1] (numeric) = 3.985233433411938 " " absolute error = 5.373479439185758000000000000000E-14 " " relative error = 1.3483474754916305000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12039771256703867 " " Order of pole (three term test) = 22.014712053715915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0100000000000424 " " y[1] (analytic) = 3.9827083478976633 " " y[1] (numeric) = 3.982708347897716 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.326901478991134000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1300787457151933 " " Order of pole (three term test) = 22.017216901794228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.0000000000000426 " " y[1] (analytic) = 3.979984993200903 " " y[1] (numeric) = 3.979984993200956 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3389674904062507000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13970774909942205 " " Order of pole (three term test) = 22.019914856674802 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.990000000000043 " " y[1] (analytic) = 3.977063641654805 " " y[1] (numeric) = 3.977063641654858 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3287847702172717000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14928087124675615 " " Order of pole (three term test) = 22.022804839211656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.980000000000043 " " y[1] (analytic) = 3.973944585392089 " " y[1] (numeric) = 3.973944585392142 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3298277023393207000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15879428303597648 " " Order of pole (three term test) = 22.025885693450313 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9700000000000433 " " y[1] (analytic) = 3.9706281363157823 " " y[1] (numeric) = 3.970628136315835 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3309384348742395000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1682441792292116 " " Order of pole (three term test) = 22.029156187090148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9600000000000435 " " y[1] (analytic) = 3.967114626068028 " " y[1] (numeric) = 3.9671146260680814 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.343311454421627000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17762677999398058 " " Order of pole (three term test) = 22.032615011977303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9500000000000437 " " y[1] (analytic) = 3.9634044059969247 " " y[1] (numeric) = 3.9634044059969775 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3333642131546455000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18693833241507776 " " Order of pole (three term test) = 22.03626078462796 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.940000000000044 " " y[1] (analytic) = 3.959497847121386 " " y[1] (numeric) = 3.959497847121439 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3346797501248225000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1961751119956865 " " Order of pole (three term test) = 22.040092046781666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.930000000000044 " " y[1] (analytic) = 3.9553953400940447 " " y[1] (numeric) = 3.9553953400940975 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.336064070169556100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20533342414713043 " " Order of pole (three term test) = 22.044107265984625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9200000000000443 " " y[1] (analytic) = 3.951097295162185 " " y[1] (numeric) = 3.9510972951622376 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3262778121528482000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21440960566665787 " " Order of pole (three term test) = 22.0483048362027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9100000000000446 " " y[1] (analytic) = 3.946604142126718 " " y[1] (numeric) = 3.94660414212677 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3165353220467238000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2234000262026751 " " Order of pole (three term test) = 22.052683078463776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.9000000000000448 " " y[1] (analytic) = 3.941916330299202 " " y[1] (numeric) = 3.941916330299255 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3406326148009906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23230108970683913 " " Order of pole (three term test) = 22.057240241529318 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.890000000000045 " " y[1] (analytic) = 3.9370343284569156 " " y[1] (numeric) = 3.937034328456968 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3310152361014865000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24110923587242647 " " Order of pole (three term test) = 22.061974502594865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.880000000000045 " " y[1] (analytic) = 3.931958624795973 " " y[1] (numeric) = 3.9319586247960254 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3327334227741658000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24982094155841206 " " Order of pole (three term test) = 22.066883968019113 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8700000000000454 " " y[1] (analytic) = 3.926689726882511 " " y[1] (numeric) = 3.926689726882563 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3232122007691277000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2584327221986757 " " Order of pole (three term test) = 22.071966674081352 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8600000000000456 " " y[1] (analytic) = 3.92122816160193 " " y[1] (numeric) = 3.921228161601982 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3250551972785707000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2669411331957836 " " Order of pole (three term test) = 22.077220587766917 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.850000000000046 " " y[1] (analytic) = 3.915574475106207 " " y[1] (numeric) = 3.915574475106259 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3269684405900106000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27534277129878065 " " Order of pole (three term test) = 22.082643607580394 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.840000000000046 " " y[1] (analytic) = 3.90972923275928 " " y[1] (numeric) = 3.9097292327593323 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3403108922027435000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28363427596444646 " " Order of pole (three term test) = 22.088233564386165 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8300000000000463 " " y[1] (analytic) = 3.903693019080513 " " y[1] (numeric) = 3.903693019080565 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.342383391987376000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2918123307014663 " " Order of pole (three term test) = 22.093988222276025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8200000000000465 " " y[1] (analytic) = 3.8974664376862433 " " y[1] (numeric) = 3.8974664376862957 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3445279799103668000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2998736643969847 " " Order of pole (three term test) = 22.099905279463567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.8100000000000467 " " y[1] (analytic) = 3.891050111229422 " " y[1] (numeric) = 3.8910501112294744 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3467451013050616000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30781505262500647 " " Order of pole (three term test) = 22.1059823692048 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.800000000000047 " " y[1] (analytic) = 3.8844446813373477 " " y[1] (numeric) = 3.8844446813373996 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3376027158293555000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3156333189361242 " " Order of pole (three term test) = 22.112217060744843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.790000000000047 " " y[1] (analytic) = 3.8776508085475045 " " y[1] (numeric) = 3.8776508085475565 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3399462746342544000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3233253361280557 " " Order of pole (three term test) = 22.118606860290228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7800000000000473 " " y[1] (analytic) = 3.870669172241511 " " y[1] (numeric) = 3.8706691722415627 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.330889984399653800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33088802749648333 " " Order of pole (three term test) = 22.125149212006317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7700000000000475 " " y[1] (analytic) = 3.863500470577179 " " y[1] (numeric) = 3.8635004705772302 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3218649647304861000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3383183680656933 " " Order of pole (three term test) = 22.13184149903966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7600000000000477 " " y[1] (analytic) = 3.8561454204187005 " " y[1] (numeric) = 3.856145420418752 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3359026366026888000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3456133857985289 " " Order of pole (three term test) = 22.138681044564667 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.750000000000048 " " y[1] (analytic) = 3.8486047572649635 " " y[1] (numeric) = 3.8486047572650146 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.326981136120889000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3527701627851622 " " Order of pole (three term test) = 22.145665112854335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.740000000000048 " " y[1] (analytic) = 3.840879235175999 " " y[1] (numeric) = 3.8408792351760495 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3180880424267574000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3597858364102203 " " Order of pole (three term test) = 22.152790910374456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7300000000000484 " " y[1] (analytic) = 3.8329696266975777 " " y[1] (numeric) = 3.832969626697628 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.309221976702516200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3666576004977955 " " Order of pole (three term test) = 22.16005558690104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.7200000000000486 " " y[1] (analytic) = 3.824876722783956 " " y[1] (numeric) = 3.824876722784006 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3119921072000404000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37338270643387367 " " Order of pole (three term test) = 22.16745623666032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.710000000000049 " " y[1] (analytic) = 3.816601332718781 " " y[1] (numeric) = 3.8166013327188315 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3264725736194002000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37995846426574864 " " Order of pole (three term test) = 22.17498989949108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.700000000000049 " " y[1] (analytic) = 3.8081442840341637 " " y[1] (numeric) = 3.8081442840342143 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3294183766922882000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3863822437779626 " " Order of pole (three term test) = 22.182653562028648 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6900000000000492 " " y[1] (analytic) = 3.7995064224279256 " " y[1] (numeric) = 3.7995064224279758 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.320752622415366000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3926514755443599 " " Order of pole (three term test) = 22.19044415891016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6800000000000495 " " y[1] (analytic) = 3.7906886116790286 " " y[1] (numeric) = 3.790688611679078 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3003943964556602000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3987636519558224 " " Order of pole (three term test) = 22.198358574000757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6700000000000497 " " y[1] (analytic) = 3.781691733561198 " " y[1] (numeric) = 3.7816917335612477 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 1.3152312511831582000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4047163282232807 " " Order of pole (three term test) = 22.206393641639927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.66000000000005 " " y[1] (analytic) = 3.7725166877547505 " " y[1] (numeric) = 3.7725166877547998 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3066582966580512000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41050712335559514 " " Order of pole (three term test) = 22.214546147907736 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.65000000000005 " " y[1] (analytic) = 3.763164391756619 " " y[1] (numeric) = 3.7631643917566686 " " absolute error = 4.97379915032070130000000000000E-14 " " relative error = 1.3217065832191738000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4161337211119229 " " Order of pole (three term test) = 22.222812831910378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6400000000000503 " " y[1] (analytic) = 3.7536357807886116 " " y[1] (numeric) = 3.7536357807886604 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.3013999209386237000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42159387092818146 " " Order of pole (three term test) = 22.231190387084478 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6300000000000505 " " y[1] (analytic) = 3.7439318077038823 " " y[1] (numeric) = 3.7439318077039316 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3166346190367295000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4268853888172453 " " Order of pole (three term test) = 22.239675462519664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.6200000000000507 " " y[1] (analytic) = 3.734053442891655 " " y[1] (numeric) = 3.734053442891704 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.3082247972776076000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4320061582425118 " " Order of pole (three term test) = 22.248264664298897 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.610000000000051 " " y[1] (analytic) = 3.7240016741801787 " " y[1] (numeric) = 3.724001674180227 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 1.2998308837847963000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43695413096448643 " " Order of pole (three term test) = 22.256954556855987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.600000000000051 " " y[1] (analytic) = 3.713777506737947 " " y[1] (numeric) = 3.7137775067379954 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 1.3034093664963448000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44172732786005264 " " Order of pole (three term test) = 22.26574166434976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5900000000000514 " " y[1] (analytic) = 3.703381962973185 " " y[1] (numeric) = 3.703381962973233 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.2950766392268578000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.446323839714094 " " Order of pole (three term test) = 22.274622472054407 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5800000000000516 " " y[1] (analytic) = 3.692816082431606 " " y[1] (numeric) = 3.6928160824316536 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.286756350526610800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4507418279831552 " " Order of pole (three term test) = 22.28359342776523 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.570000000000052 " " y[1] (analytic) = 3.6820809216924593 " " y[1] (numeric) = 3.6820809216925063 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2784470859067767000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45497952553083376 " " Order of pole (three term test) = 22.292650943219556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.560000000000052 " " y[1] (analytic) = 3.671177554262872 " " y[1] (numeric) = 3.6711775542629193 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2822440633372856000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4590352373346128 " " Order of pole (three term test) = 22.30179139553199 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5500000000000522 " " y[1] (analytic) = 3.6601070704705023 " " y[1] (numeric) = 3.6601070704705494 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2861223821535747000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4629073411638465 " " Order of pole (three term test) = 22.311011128643464 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5400000000000524 " " y[1] (analytic) = 3.6488705773545043 " " y[1] (numeric) = 3.6488705773545504 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2657417369374513000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46659428822863 " " Order of pole (three term test) = 22.320306454783655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5300000000000527 " " y[1] (analytic) = 3.6374691985548235 " " y[1] (numeric) = 3.63746919855487 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 1.2819178524668345000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47009460379929624 " " Order of pole (three term test) = 22.329673655946053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.520000000000053 " " y[1] (analytic) = 3.625904074199841 " " y[1] (numeric) = 3.6259040741998874 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.273758954436725000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4734068877962874 " " Order of pole (three term test) = 22.339108985375088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.510000000000053 " " y[1] (analytic) = 3.6141763607923547 " " y[1] (numeric) = 3.6141763607924005 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 1.265604775427405200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47652981535016764 " " Order of pole (three term test) = 22.34860866906479 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.5000000000000533 " " y[1] (analytic) = 3.602287231093931 " " y[1] (numeric) = 3.602287231093977 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 1.2697818269384897000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.479462137331554 " " Order of pole (three term test) = 22.358168907268333 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4900000000000535 " " y[1] (analytic) = 3.5902378740076335 " " y[1] (numeric) = 3.590237874007679 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.2616740448493768000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4822026808507511 " " Order of pole (three term test) = 22.367785876017916 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4800000000000537 " " y[1] (analytic) = 3.5780294944591287 " " y[1] (numeric) = 3.5780294944591735 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 1.2535673689754342000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4847503497268912 " " Order of pole (three term test) = 22.377455728654265 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.470000000000054 " " y[1] (analytic) = 3.5656633132761977 " " y[1] (numeric) = 3.5656633132762425 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 1.257914902617223000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4871041249263924 " " Order of pole (three term test) = 22.387174597365252 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.460000000000054 " " y[1] (analytic) = 3.553140567066654 " " y[1] (numeric) = 3.553140567066699 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 1.2623483182902998000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48926306497055816 " " Order of pole (three term test) = 22.396938594732966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4500000000000544 " " y[1] (analytic) = 3.5404625080946843 " " y[1] (numeric) = 3.5404625080947283 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2417821591003395000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.491226306312156 " " Order of pole (three term test) = 22.40674381528866 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4400000000000546 " " y[1] (analytic) = 3.5276304041556186 " " y[1] (numeric) = 3.5276304041556625 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2462992643266925000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.492993063680826 " " Order of pole (three term test) = 22.416586337074836 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.430000000000055 " " y[1] (analytic) = 3.514645538449159 " " y[1] (numeric) = 3.5146455384492024 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.2382683286039055000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49456263039717674 " " Order of pole (three term test) = 22.426462223214013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.420000000000055 " " y[1] (analytic) = 3.5015092094510543 " " y[1] (numeric) = 3.501509209451098 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.242913839776222000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49593437865544926 " " Order of pole (three term test) = 22.43636752348342 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.410000000000055 " " y[1] (analytic) = 3.4882227307832583 " " y[1] (numeric) = 3.488222730783302 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.2476480409705325000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49710775977462973 " " Order of pole (three term test) = 22.446298275895007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.4000000000000554 " " y[1] (analytic) = 3.474787431082566 " " y[1] (numeric) = 3.474787431082609 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 1.2269114295812876000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4980823044179154 " " Order of pole (three term test) = 22.45625050828022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3900000000000556 " " y[1] (analytic) = 3.4612046538677506 " " y[1] (numeric) = 3.4612046538677927 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 1.2188957069791324000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49885762278044293 " " Order of pole (three term test) = 22.46622023987881 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.380000000000056 " " y[1] (analytic) = 3.447475757405215 " " y[1] (numeric) = 3.4474757574052566 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2108681442135887000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4994334047452044 " " Order of pole (three term test) = 22.47620348293105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.370000000000056 " " y[1] (analytic) = 3.433602114573164 " " y[1] (numeric) = 3.4336021145732056 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.215760718131291000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.499809420007091 " " Order of pole (three term test) = 22.486196244272833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3600000000000563 " " y[1] (analytic) = 3.41958511272432 " " y[1] (numeric) = 3.419585112724362 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2207441648571486000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999855181650119 " " Order of pole (three term test) = 22.496194526932868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3500000000000565 " " y[1] (analytic) = 3.4054261535471877 " " y[1] (numeric) = 3.4054261535472294 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2258197313256597000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49996162878205136 " " Order of pole (three term test) = 22.506194331731397 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3400000000000567 " " y[1] (analytic) = 3.3911266529258857 " " y[1] (numeric) = 3.3911266529259265 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2047974460333047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4997377614136439 " " Order of pole (three term test) = 22.516191658879805 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.330000000000057 " " y[1] (analytic) = 3.376688040798559 " " y[1] (numeric) = 3.3766880407985997 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2099491221150416000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4993140056037524 " " Order of pole (three term test) = 22.526182509580554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.320000000000057 " " y[1] (analytic) = 3.362111761014389 " " y[1] (numeric) = 3.3621117610144293 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.2019861613452995000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49869053084905085 " " Order of pole (three term test) = 22.53616288762657 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3100000000000573 " " y[1] (analytic) = 3.3473992711892064 " " y[1] (numeric) = 3.347399271189247 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.2072691311185825000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.497867586531128 " " Order of pole (three term test) = 22.5461288009997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.3000000000000576 " " y[1] (analytic) = 3.332552042559734 " " y[1] (numeric) = 3.332552042559774 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.1993219723526413000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4968455018167386 " " Order of pole (three term test) = 22.556076263467467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2900000000000578 " " y[1] (analytic) = 3.3175715598364626 " " y[1] (numeric) = 3.3175715598365016 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1779655619163773000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49562468552614103 " " Order of pole (three term test) = 22.566001296177525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.280000000000058 " " y[1] (analytic) = 3.3024593210551796 " " y[1] (numeric) = 3.3024593210552182 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1699087710370588000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4942056259695741 " " Order of pole (three term test) = 22.575899929249125 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.270000000000058 " " y[1] (analytic) = 3.28721683742717 " " y[1] (numeric) = 3.287216837427209 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1753335167020737000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49258889075193973 " " Order of pole (three term test) = 22.585768203361 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2600000000000584 " " y[1] (analytic) = 3.2718456331880947 " " y[1] (numeric) = 3.271845633188134 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1944283089152347000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4907751265457688 " " Order of pole (three term test) = 22.59560217133509 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2500000000000586 " " y[1] (analytic) = 3.2563472454455695 " " y[1] (numeric) = 3.2563472454456077 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.172837820061158000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48876505883256094 " " Order of pole (three term test) = 22.60539789971533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.240000000000059 " " y[1] (analytic) = 3.2407232240254515 " " y[1] (numeric) = 3.2407232240254897 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1784922502473305000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4865594916126002 " " Order of pole (three term test) = 22.615151470340965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.230000000000059 " " y[1] (analytic) = 3.2249751313168638 " " y[1] (numeric) = 3.2249751313169015 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.17047671067906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48415930708336835 " " Order of pole (three term test) = 22.624858981913807 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2200000000000593 " " y[1] (analytic) = 3.209104542115954 " " y[1] (numeric) = 3.2091045421159907 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1485884592981066000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48156546528667427 " " Order of pole (three term test) = 22.634516551558644 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2100000000000595 " " y[1] (analytic) = 3.193113043468415 " " y[1] (numeric) = 3.1931130434684523 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.168248449697401000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4787790037246528 " " Order of pole (three term test) = 22.644120316376384 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.2000000000000597 " " y[1] (analytic) = 3.1770022345107876 " " y[1] (numeric) = 3.1770022345108244 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1601944756967102000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47580103694477616 " " Order of pole (three term test) = 22.653666434989148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.19000000000006 " " y[1] (analytic) = 3.1607737263105413 " " y[1] (numeric) = 3.1607737263105777 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.1521013005322413000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4726327560940513 " " Order of pole (three term test) = 22.66315108907678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.18000000000006 " " y[1] (analytic) = 3.144429141704972 " " y[1] (numeric) = 3.144429141705008 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.143966818039053000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46927542844257464 " " Order of pole (three term test) = 22.67257048490411 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1700000000000603 " " y[1] (analytic) = 3.12797011513892 " " y[1] (numeric) = 3.1279701151389556 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1357888816155512000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4657303968766432 " " Order of pole (three term test) = 22.68192085483837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1600000000000605 " " y[1] (analytic) = 3.1113982925013257 " " y[1] (numeric) = 3.1113982925013612 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.1418382813164017000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46199907936161705 " " Order of pole (three term test) = 22.69119845885628 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1500000000000608 " " y[1] (analytic) = 3.0947153309606437 " " y[1] (numeric) = 3.0947153309606787 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1336437709527444000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4580829683747517 " " Order of pole (three term test) = 22.700399586039936 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.140000000000061 " " y[1] (analytic) = 3.077922898799126 " " y[1] (numeric) = 3.07792289879916 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1109722459843357000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4539836303082282 " " Order of pole (three term test) = 22.709520556061122 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.130000000000061 " " y[1] (analytic) = 3.0610226752459937 " " y[1] (numeric) = 3.0610226752460274 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1025981683030962000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44970270484261565 " " Order of pole (three term test) = 22.71855772065346 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1200000000000614 " " y[1] (analytic) = 3.0440163503095192 " " y[1] (numeric) = 3.044016350309553 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1087581689622968000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44524190429102206 " " Order of pole (three term test) = 22.727507465071596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.1100000000000616 " " y[1] (analytic) = 3.026905624608025 " " y[1] (numeric) = 3.0269056246080583 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 1.10035445003568000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44060301291419185 " " Order of pole (three term test) = 22.7363662095371 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.100000000000062 " " y[1] (analytic) = 3.0096922091998213 " " y[1] (numeric) = 3.0096922091998546 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 1.106647737497711000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4357878862068243 " " Order of pole (three term test) = 22.7451304106703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.090000000000062 " " y[1] (analytic) = 2.992377825412106 " " y[1] (numeric) = 2.9923778254121385 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.083369621434417000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4307984501554018 " " Order of pole (three term test) = 22.75379656290758 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0800000000000622 " " y[1] (analytic) = 2.9749642046688276 " " y[1] (numeric) = 2.9749642046688596 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.074783456521080900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42563670046782 " " Order of pole (three term test) = 22.762361199903623 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0700000000000625 " " y[1] (analytic) = 2.95745308831755 " " y[1] (numeric) = 2.9574530883175814 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0661313284699159000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42030470177513113 " " Order of pole (three term test) = 22.77082089591779 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0600000000000627 " " y[1] (analytic) = 2.939846227455315 " " y[1] (numeric) = 2.9398462274553463 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0574105679130077000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4148045868057203 " " Order of pole (three term test) = 22.779172267184503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.050000000000063 " " y[1] (analytic) = 2.9221453827535377 " " y[1] (numeric) = 2.9221453827535684 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0486184452184996000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4091385555322415 " " Order of pole (three term test) = 22.787411973266586 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.040000000000063 " " y[1] (analytic) = 2.9043523242819367 " " y[1] (numeric) = 2.904352324281967 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0397521684036849000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40330887429165757 " " Order of pole (three term test) = 22.79553671839147 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0300000000000633 " " y[1] (analytic) = 2.8864688313315314 " " y[1] (numeric) = 2.8864688313315616 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.046194088154205000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.397317874878737 " " Order of pole (three term test) = 22.80354325276943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0200000000000635 " " y[1] (analytic) = 2.8684966922367154 " " y[1] (numeric) = 2.8684966922367447 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.021785659695137900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.391167953613366 " " Order of pole (three term test) = 22.81142837389347 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.0100000000000637 " " y[1] (analytic) = 2.8504377041964197 " " y[1] (numeric) = 2.850437704196449 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0282591970683681000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38486157038205265 " " Order of pole (three term test) = 22.81918892782028 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.000000000000064 " " y[1] (analytic) = 2.8322936730944015 " " y[1] (numeric) = 2.8322936730944295 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 9.8780788469534660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.378401247654006 " " Order of pole (three term test) = 22.82682181043176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.990000000000064 " " y[1] (analytic) = 2.814066413318648 " " y[1] (numeric) = 2.814066413318676 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 9.9420610999580990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37178956947218 " " Order of pole (three term test) = 22.83432396867662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.980000000000064 " " y[1] (analytic) = 2.795757747579949 " " y[1] (numeric) = 2.7957577475799775 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.0166012936924267000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3650291804196936 " " Order of pole (three term test) = 22.841692401791626 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.970000000000064 " " y[1] (analytic) = 2.777369506729622 " " y[1] (numeric) = 2.77736950672965 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0073423846831907000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3581227845620298 " " Order of pole (three term test) = 22.84892416250174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.960000000000064 " " y[1] (analytic) = 2.7589035295764273 " " y[1] (numeric) = 2.7589035295764552 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0140847594206867000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3510731443654481 " " Order of pole (three term test) = 22.85601635819911 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.950000000000064 " " y[1] (analytic) = 2.7403616627026928 " " y[1] (numeric) = 2.7403616627027207 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0209462714845056000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34388307959203346 " " Order of pole (three term test) = 22.862966152100032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.940000000000064 " " y[1] (analytic) = 2.7217457602796538 " " y[1] (numeric) = 2.7217457602796817 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0279292294251356000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3365554661718282 " " Order of pole (three term test) = 22.86977076437959 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9300000000000639 " " y[1] (analytic) = 2.7030576838820393 " " y[1] (numeric) = 2.7030576838820677 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.0514651463000123000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3290932350525007 " " Order of pole (three term test) = 22.8764274732836 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9200000000000639 " " y[1] (analytic) = 2.684299302301916 " " y[1] (numeric) = 2.6842993023019446 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.0588129798354087000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32149937102700354 " " Order of pole (three term test) = 22.882933616217272 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9100000000000639 " " y[1] (analytic) = 2.665472491361811 " " y[1] (numeric) = 2.665472491361839 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0496307994632485000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3137769115396963 " " Order of pole (three term test) = 22.889286590810176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.9000000000000639 " " y[1] (analytic) = 2.646579133727128 " " y[1] (numeric) = 2.646579133727156 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.057123887361478000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3059289454714101 " " Order of pole (three term test) = 22.895483855957174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8900000000000639 " " y[1] (analytic) = 2.6276211187178857 " " y[1] (numeric) = 2.627621118717914 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.081651735402097000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29795861190393325 " " Order of pole (three term test) = 22.90152293283483 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8800000000000638 " " y[1] (analytic) = 2.6086003421197885 " " y[1] (numeric) = 2.6086003421198165 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0725146266682961000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2898690988644235 " " Order of pole (three term test) = 22.907401405892923 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8700000000000638 " " y[1] (analytic) = 2.589518705994644 " " y[1] (numeric) = 2.589518705994672 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0804177685910028000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2816636420502378 " " Order of pole (three term test) = 22.913116923820596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8600000000000638 " " y[1] (analytic) = 2.570378118490164 " " y[1] (numeric) = 2.570378118490192 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0884632116689488000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27334552353469715 " " Order of pole (three term test) = 22.918667200486905 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8500000000000638 " " y[1] (analytic) = 2.5511804936491487 " " y[1] (numeric) = 2.5511804936491767 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.0966538937641143000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2649180704543005 " " Order of pole (three term test) = 22.92405001585517 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8400000000000638 " " y[1] (analytic) = 2.5319277512180838 " " y[1] (numeric) = 2.5319277512181118 " " absolute error = 2.797762022055394500000000000000E-14 " " relative error = 1.1049928342976693000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25638465367791663 " " Order of pole (three term test) = 22.92926321687102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8300000000000638 " " y[1] (analytic) = 2.5126218164551686 " " y[1] (numeric) = 2.512621816455197 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.131157472416666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24774868645847775 " " Order of pole (three term test) = 22.934304718323553 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8200000000000638 " " y[1] (analytic) = 2.4932646199377917 " " y[1] (numeric) = 2.49326461993782 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.1399395476567242000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23901362306772736 " " Order of pole (three term test) = 22.9391725036794 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8100000000000638 " " y[1] (analytic) = 2.4738580973694733 " " y[1] (numeric) = 2.4738580973695017 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.1488819613633318000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2301829574145557 " " Order of pole (three term test) = 22.943864625889344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.8000000000000638 " " y[1] (analytic) = 2.454404189386298 " " y[1] (numeric) = 2.454404189386327 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.1760817050867121000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22126022164748346 " " Order of pole (three term test) = 22.948379208167047 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7900000000000638 " " y[1] (analytic) = 2.4349048413628536 " " y[1] (numeric) = 2.4349048413628824 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.1855000717029023000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.212248984741849 " " Order of pole (three term test) = 22.95271444473979 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7800000000000638 " " y[1] (analytic) = 2.415362003217692 " " y[1] (numeric) = 2.415362003217721 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.2134780546790977000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20315285107226655 " " Order of pole (three term test) = 22.956868601570743 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7700000000000637 " " y[1] (analytic) = 2.395777629218343 " " y[1] (numeric) = 2.395777629218372 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.2048613480739426000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19397545897092405 " " Order of pole (three term test) = 22.96084001705258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7600000000000637 " " y[1] (analytic) = 2.3761536777858856 " " y[1] (numeric) = 2.3761536777859145 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.214811942094225000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18472047927229787 " " Order of pole (three term test) = 22.964627102672043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7500000000000637 " " y[1] (analytic) = 2.3564921112991097 " " y[1] (numeric) = 2.3564921112991386 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.2249478155197666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1753916138448696 " " Order of pole (three term test) = 22.968228343645375 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7400000000000637 " " y[1] (analytic) = 2.3367948958982794 " " y[1] (numeric) = 2.3367948958983087 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.2542772967174434000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16599259411042722 " " Order of pole (three term test) = 22.971642299524216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7300000000000637 " " y[1] (analytic) = 2.3170640012885215 " " y[1] (numeric) = 2.3170640012885504 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.2457920292318975000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1565271795515456 " " Order of pole (three term test) = 22.97486760477172 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7200000000000637 " " y[1] (analytic) = 2.297301400542853 " " y[1] (numeric) = 2.2973014005428825 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.2758398982030916000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1469991562078446 " " Order of pole (three term test) = 22.977902969308815 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7100000000000637 " " y[1] (analytic) = 2.2775090699048812 " " y[1] (numeric) = 2.2775090699049105 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.286927382086265000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13741233516162327 " " Order of pole (three term test) = 22.980747179030132 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.7000000000000637 " " y[1] (analytic) = 2.257688988591176 " " y[1] (numeric) = 2.257688988591205 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.2785551413911380000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12777055101347723 " " Order of pole (three term test) = 22.983399096289716 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6900000000000637 " " y[1] (analytic) = 2.237843138593351 " " y[1] (numeric) = 2.23784313859338 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.3097382629118300000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11807766034851049 " " Order of pole (three term test) = 22.985857660356018 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6800000000000637 " " y[1] (analytic) = 2.217973504479869 " " y[1] (numeric) = 2.217973504479898 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.3014492094675995000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10833754019375204 " " Order of pole (three term test) = 22.988121887836186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6700000000000637 " " y[1] (analytic) = 2.1980820731975825 " " y[1] (numeric) = 2.198082073197612 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.3334300937847424000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.85540864673973700E-2 " " Order of pole (three term test) = 22.990190873069434 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6600000000000636 " " y[1] (analytic) = 2.178170833873045 " " y[1] (numeric) = 2.178170833873074 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.3252311614570317000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.87312124204927600E-2 " " Order of pole (three term test) = 22.992063788489247 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6500000000000636 " " y[1] (analytic) = 2.158241777613595 " " y[1] (numeric) = 2.158241777613624 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.3374682549316358000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.88728470716870200E-2 " " Order of pole (three term test) = 22.99373988495442 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6400000000000636 " " y[1] (analytic) = 2.1382968973082512 " " y[1] (numeric) = 2.13829689730828 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.349943437536254000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.89829336356765600E-2 " " Order of pole (three term test) = 22.995218492048725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6300000000000636 " " y[1] (analytic) = 2.1183381874284235 " " y[1] (numeric) = 2.1183381874284524 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.362662430935826000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.90654279459719500E-2 " " Order of pole (three term test) = 22.996499018349034 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6200000000000636 " " y[1] (analytic) = 2.0983676438284675 " " y[1] (numeric) = 2.098367643828497 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.3967946911642376000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.91242968726175570E-2 " " Order of pole (three term test) = 22.997580951661906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6100000000000636 " " y[1] (analytic) = 2.0783872635461025 " " y[1] (numeric) = 2.0783872635461313 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.3888556356433700000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.91635167354959570E-2 " " Order of pole (three term test) = 22.99846385922844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.6000000000000636 " " y[1] (analytic) = 2.0583990446027043 " " y[1] (numeric) = 2.0583990446027336 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.423916704924496000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.91870717138534630E-2 " " Order of pole (three term test) = 22.999147387897377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5900000000000636 " " y[1] (analytic) = 2.0384049858035125 " " y[1] (numeric) = 2.0384049858035413 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.4160973330270557000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.91989522526811600E-2 " " Order of pole (three term test) = 22.99963126426636 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5800000000000636 " " y[1] (analytic) = 2.018407086537744 " " y[1] (numeric) = 2.018407086537773 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.430127689938344200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.203153466590404000E-3 " " Order of pole (three term test) = 22.999915294791297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5700000000000636 " " y[1] (analytic) = 1.9984073465786607 " " y[1] (numeric) = 1.9984073465786896 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.4444401783086552000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.9632645817990930000E-4 " " Order of pole (three term test) = 22.99999936586377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5600000000000636 " " y[1] (analytic) = 1.9784077658835924 " " y[1] (numeric) = 1.9784077658836212 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.459041919367016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.079548786298449400E-2 " " Order of pole (three term test) = 22.99988344385647 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5500000000000635 " " y[1] (analytic) = 1.958410344393942 " " y[1] (numeric) = 1.958410344393971 " " absolute error = 2.9087843245179100000000000000E-14 " " relative error = 1.485278268083329000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.079033121658179800E-2 " " Order of pole (three term test) = 22.999567575136645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5400000000000635 " " y[1] (analytic) = 1.938417081835195 " " y[1] (numeric) = 1.9384170818352238 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.4891428119755012000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.077685871489318500E-2 " " Order of pole (three term test) = 22.999051886047578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5300000000000635 " " y[1] (analytic) = 1.9184299775169449 " " y[1] (numeric) = 1.918429977516974 " " absolute error = 2.9087843245179100000000000000E-14 " " relative error = 1.5162316887285074000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.07510758800712750E-2 " " Order of pole (three term test) = 22.998336582858027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5200000000000635 " " y[1] (analytic) = 1.8984510301329687 " " y[1] (numeric) = 1.8984510301329975 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.520492137120455000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.07089931582377700E-2 " " Order of pole (three term test) = 22.997421951679733 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5100000000000635 " " y[1] (analytic) = 1.878482237561355 " " y[1] (numeric) = 1.878482237561384 " " absolute error = 2.9087843245179100000000000000E-14 " " relative error = 1.5484758207211438000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.064662751525186000E-2 " " Order of pole (three term test) = 22.99630835835298 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.5000000000000635 " " y[1] (analytic) = 1.858525596664721 " " y[1] (numeric) = 1.85852559666475 " " absolute error = 2.9087843245179100000000000000E-14 " " relative error = 1.5651031816499950000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.05600040298707700E-2 " " Order of pole (three term test) = 22.994996248300232 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4900000000000635 " " y[1] (analytic) = 1.8385831030905253 " " y[1] (numeric) = 1.8385831030905546 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.5941562717962723000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.04451574836651900E-2 " " Order of pole (three term test) = 22.993486146348033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4800000000000635 " " y[1] (analytic) = 1.818656751071507 " " y[1] (numeric) = 1.8186567510715363 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.6116228547709993000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.02981339470540400E-2 " " Order of pole (three term test) = 22.991778656517017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4700000000000635 " " y[1] (analytic) = 1.798748533226263 " " y[1] (numeric) = 1.7987485332262922 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.6294600000331047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10011499236082312 " " Order of pole (three term test) = 22.989874461780357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4600000000000635 " " y[1] (analytic) = 1.778860440359987 " " y[1] (numeric) = 1.7788604403600163 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.6476777595983140000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10989180611249656 " " Order of pole (three term test) = 22.987774323790553 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4500000000000635 " " y[1] (analytic) = 1.758994461265393 " " y[1] (numeric) = 1.7589944612654222 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.666286534468054000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11962466460692948 " " Order of pole (three term test) = 22.985479082574813 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4400000000000635 " " y[1] (analytic) = 1.7391525825238348 " " y[1] (numeric) = 1.7391525825238643 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.6980644913957363000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.129309674830494 " " Order of pole (three term test) = 22.982989656199006 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4300000000000634 " " y[1] (analytic) = 1.7193367883066522 " " y[1] (numeric) = 1.7193367883066817 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.7176351169752320000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13894296290823244 " " Order of pole (three term test) = 22.98030704040049 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4200000000000634 " " y[1] (analytic) = 1.699549060176754 " " y[1] (numeric) = 1.6995490601767833 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.7245685068400374000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14852067565335555 " " Order of pole (three term test) = 22.977432308189833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4100000000000634 " " y[1] (analytic) = 1.6797913768904627 " " y[1] (numeric) = 1.6797913768904922 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.7580714403771408000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15803898210846667 " " Order of pole (three term test) = 22.974366609421573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.4000000000000634 " " y[1] (analytic) = 1.6600657141996429 " " y[1] (numeric) = 1.6600657141996724 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.778961652085394000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1674940750778929 " " Order of pole (three term test) = 22.971111170334353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3900000000000634 " " y[1] (analytic) = 1.6403740446541257 " " y[1] (numeric) = 1.640374044654155 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.7867807617185352000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17688217265051215 " " Order of pole (three term test) = 22.96766729306039 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3800000000000634 " " y[1] (analytic) = 1.6207183374044556 " " y[1] (numeric) = 1.6207183374044851 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.8221508187736000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18619951971246887 " " Order of pole (three term test) = 22.964036355104692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3700000000000634 " " y[1] (analytic) = 1.6011005580049784 " " y[1] (numeric) = 1.6011005580050077 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.830608808645047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1954423894491679 " " Order of pole (three term test) = 22.960219808794015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3600000000000634 " " y[1] (analytic) = 1.5815226682172852 " " y[1] (numeric) = 1.5815226682173147 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.867310096055593000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20460708483595097 " " Order of pole (three term test) = 22.956219180696003 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3500000000000634 " " y[1] (analytic) = 1.5619866258140407 " " y[1] (numeric) = 1.56198662581407 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.876449347626717000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21368994011685766 " " Order of pole (three term test) = 22.952036071008557 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3400000000000634 " " y[1] (analytic) = 1.5424943843832044 " " y[1] (numeric) = 1.542494384383234 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.9145568861722673000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22268732227087895 " " Order of pole (three term test) = 22.947672152919775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3300000000000634 " " y[1] (analytic) = 1.5230478931326767 " " y[1] (numeric) = 1.523047893132706 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.9244232556481317000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23159563246511627 " " Order of pole (three term test) = 22.9431291719387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3200000000000633 " " y[1] (analytic) = 1.5036490966953768 " " y[1] (numeric) = 1.5036490966954061 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.9492505209173813000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24041130749426864 " " Order of pole (three term test) = 22.938408945197175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3100000000000633 " " y[1] (analytic) = 1.484299934934783 " " y[1] (numeric) = 1.4842999349348125 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.9896202755224626000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24913082120586452 " " Order of pole (three term test) = 22.933513360722934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.3000000000000633 " " y[1] (analytic) = 1.4650023427509473 " " y[1] (numeric) = 1.4650023427509766 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 2.0006717392046422000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.257750685910678 " " Order of pole (three term test) = 22.928444376684507 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2900000000000633 " " y[1] (analytic) = 1.4457582498870063 " " y[1] (numeric) = 1.4457582498870358 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.042660483337186100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26626745377775707 " " Order of pole (three term test) = 22.923204020607923 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2800000000000633 " " y[1] (analytic) = 1.4265695807362104 " " y[1] (numeric) = 1.4265695807362397 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 2.0545712067530675000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27467771821351034 " " Order of pole (three term test) = 22.91779438856574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2700000000000633 " " y[1] (analytic) = 1.4074382541494836 " " y[1] (numeric) = 1.407438254149513 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 2.082499020023875000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28297811522429933 " " Order of pole (three term test) = 22.912217644338646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2600000000000633 " " y[1] (analytic) = 1.3883661832435417 " " y[1] (numeric) = 1.3883661832435714 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.143092897180921300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2911653247619894 " " Order of pole (three term test) = 22.906476018549977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2500000000000633 " " y[1] (analytic) = 1.3693552752095828 " " y[1] (numeric) = 1.3693552752096123 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.1566304223357402000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29923607205192765 " " Order of pole (three term test) = 22.900571807773503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2400000000000633 " " y[1] (analytic) = 1.3504074311225671 " " y[1] (numeric) = 1.3504074311225969 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.2033333329053365000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30718712890280586 " " Order of pole (three term test) = 22.894507373614807 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2300000000000633 " " y[1] (analytic) = 1.331524545751114 " " y[1] (numeric) = 1.3315245457511438 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.234579689491939200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31501531499789703 " " Order of pole (three term test) = 22.888285141766683 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2200000000000633 " " y[1] (analytic) = 1.3127085073680247 " " y[1] (numeric) = 1.3127085073680544 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.2666096009091005000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.322717499167137 " " Order of pole (three term test) = 22.88190760103893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2100000000000632 " " y[1] (analytic) = 1.2939611975614578 " " y[1] (numeric) = 1.2939611975614873 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.282288874711525000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33029060063955284 " " Order of pole (three term test) = 22.87537730236279 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.2000000000000632 " " y[1] (analytic) = 1.2752844910467709 " " y[1] (numeric) = 1.2752844910468004 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.3157132908272843000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33773159027552885 " " Order of pole (three term test) = 22.868696857770665 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1900000000000632 " " y[1] (analytic) = 1.2566802554790515 " " y[1] (numeric) = 1.2566802554790812 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.3676648797678343000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3450374917784224 " " Order of pole (three term test) = 22.86186893935133 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1800000000000632 " " y[1] (analytic) = 1.2381503512663534 " " y[1] (numeric) = 1.2381503512663832 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.4030988667509137000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35220538288504327 " " Order of pole (three term test) = 22.85489627818111 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1700000000000632 " " y[1] (analytic) = 1.219696631383656 " " y[1] (numeric) = 1.219696631383686 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.457662085273913000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3592323965345192 " " Order of pole (three term test) = 22.847781663231494 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1600000000000632 " " y[1] (analytic) = 1.2013209411875696 " " y[1] (numeric) = 1.2013209411875996 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.495255067746204000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36611572201508263 " " Order of pole (three term test) = 22.840527940253622 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1500000000000632 " " y[1] (analytic) = 1.183025118231801 " " y[1] (numeric) = 1.1830251182318308 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.51507568194543000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.372852606088318 " " Order of pole (three term test) = 22.833138010639956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1400000000000632 " " y[1] (analytic) = 1.1648109920833987 " " y[1] (numeric) = 1.1648109920834286 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.5734665854469363000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3794403540904199 " " Order of pole (three term test) = 22.825614830263817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1300000000000632 " " y[1] (analytic) = 1.1466803841398 " " y[1] (numeric) = 1.1466803841398296 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.594792539533551400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3858763310100226 " " Order of pole (three term test) = 22.817961408297048 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1200000000000632 " " y[1] (analytic) = 1.1286351074466894 " " y[1] (numeric) = 1.1286351074467194 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.6559533251357004000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3921579625421708 " " Order of pole (three term test) = 22.810180806006386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1100000000000632 " " y[1] (analytic) = 1.1106769665166993 " " y[1] (numeric) = 1.1106769665167295 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.7188883158810173000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39828273611800513 " " Order of pole (three term test) = 22.802276135529013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.1000000000000631 " " y[1] (analytic) = 1.0928077571489578 " " y[1] (numeric) = 1.0928077571489878 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.7430278993520424000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4042482019097579 " " Order of pole (three term test) = 22.794250558627724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0900000000000631 " " y[1] (analytic) = 1.0750292662495102 " " y[1] (numeric) = 1.0750292662495402 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.7883912192881555000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41005197381065095 " " Order of pole (three term test) = 22.786107285426272 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0800000000000631 " " y[1] (analytic) = 1.0573432716526314 " " y[1] (numeric) = 1.0573432716526614 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.8350321478876580000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4156917303893064 " " Order of pole (three term test) = 22.777849573125362 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0700000000000631 " " y[1] (analytic) = 1.0397515419430423 " " y[1] (numeric) = 1.0397515419430725 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.9043540741830910000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42116521581828886 " " Order of pole (three term test) = 22.76948072469981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.0600000000000631 " " y[1] (analytic) = 1.0222558362790553 " " y[1] (numeric) = 1.022255836279085 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.9106194363493915000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42647024077640516 " " Order of pole (three term test) = 22.76100408757741 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.050000000000063 " " y[1] (analytic) = 1.0048579042166557 " " y[1] (numeric) = 1.0048579042166854 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.9610133865791827000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4316046833244051 " " Order of pole (three term test) = 22.752423052299985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.040000000000063 " " y[1] (analytic) = 0.9875594855345521 " " y[1] (numeric) = 0.987559485534582 " " absolute error = 2.98649993624167100000000000000E-14 " " relative error = 3.024121564307714000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43656648975372764 " " Order of pole (three term test) = 22.743741051167234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.030000000000063 " " y[1] (analytic) = 0.9703623100601976 " " y[1] (numeric) = 0.9703623100602274 " " absolute error = 2.98649993624167100000000000000E-14 " " relative error = 3.0777163388141077000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4413536754079572 " " Order of pole (three term test) = 22.734961556863855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.020000000000063 " " y[1] (analytic) = 0.9532680974968084 " " y[1] (numeric) = 0.9532680974968384 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 3.144553116126871000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4459643254766613 " " Order of pole (three term test) = 22.726088081070515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.010000000000063 " " y[1] (analytic) = 0.9362785572513959 " " y[1] (numeric) = 0.936278557251426 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.213471432654332000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4503965957612863 " " Order of pole (three term test) = 22.71712417305921 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.000000000000063 " " y[1] (analytic) = 0.9193953882638266 " " y[1] (numeric) = 0.9193953882638568 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.2845570747129660000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45464871341281476 " " Order of pole (three term test) = 22.70807341827363 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.990000000000063 " " y[1] (analytic) = 0.9026202788369302 " " y[1] (numeric) = 0.9026202788369604 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.3456002460653694000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4587189776408799 " " Order of pole (three term test) = 22.698939436895014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.980000000000063 " " y[1] (analytic) = 0.8859549064676702 " " y[1] (numeric) = 0.8859549064677003 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.3960017318826896000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4626057603940603 " " Order of pole (three term test) = 22.68972588239413 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.970000000000063 " " y[1] (analytic) = 0.8694009376793953 " " y[1] (numeric) = 0.8694009376794255 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.4734338279423677000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4663075070110775 " " Order of pole (three term test) = 22.680436440069943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.960000000000063 " " y[1] (analytic) = 0.8529600278551898 " " y[1] (numeric) = 0.8529600278552201 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 3.553400813925650700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4698227368426408 " " Order of pole (three term test) = 22.671074825575506 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.950000000000063 " " y[1] (analytic) = 0.8366338210723355 " " y[1] (numeric) = 0.8366338210723657 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.6094723293756640000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4731500438436868 " " Order of pole (three term test) = 22.661644783431814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.940000000000063 " " y[1] (analytic) = 0.8204239499379052 " " y[1] (numeric) = 0.8204239499379355 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 3.694320305320286000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47628809713577863 " " Order of pole (three term test) = 22.65215008552998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.930000000000063 " " y[1] (analytic) = 0.8043320354255047 " " y[1] (numeric) = 0.8043320354255348 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.7406248467307673000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47923564153943904 " " Order of pole (three term test) = 22.642594529622567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.920000000000063 " " y[1] (analytic) = 0.7883596867131746 " " y[1] (numeric) = 0.7883596867132048 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.830493463675938000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48199149807620734 " " Order of pole (three term test) = 22.632981937804548 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.910000000000063 " " y[1] (analytic) = 0.7725085010224763 " " y[1] (numeric) = 0.7725085010225066 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 3.9234634353085160000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4845545644402126 " " Order of pole (three term test) = 22.623316154984476 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.900000000000063 " " y[1] (analytic) = 0.7567800634587698 " " y[1] (numeric) = 0.7567800634588 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.9903358621509827000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48692381543908336 " " Order of pole (three term test) = 22.613601047346606 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.890000000000063 " " y[1] (analytic) = 0.741175946852704 " " y[1] (numeric) = 0.7411759468527344 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 4.089324363664243500000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4890983034040092 " " Order of pole (three term test) = 22.603840500804456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.880000000000063 " " y[1] (analytic) = 0.7256977116029367 " " y[1] (numeric) = 0.7256977116029669 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.16124589990812030000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4910771585687974 " " Order of pole (three term test) = 22.5940384194465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.870000000000063 " " y[1] (analytic) = 0.7103469055200939 " " y[1] (numeric) = 0.7103469055201241 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.251171650799853700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49285958941776625 " " Order of pole (three term test) = 22.584198723974605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8600000000000629 " " y[1] (analytic) = 0.6951250636719917 " " y[1] (numeric) = 0.695125063672022 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 4.360235324009078000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4944448830023413 " " Order of pole (three term test) = 22.574325350135744 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8500000000000629 " " y[1] (analytic) = 0.6800337082301303 " " y[1] (numeric) = 0.6800337082301605 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.440671970276057000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4958324052262263 " " Order of pole (three term test) = 22.564422247147828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8400000000000629 " " y[1] (analytic) = 0.6650743483174776 " " y[1] (numeric) = 0.6650743483175078 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.540554953923589000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49702160109903104 " " Order of pole (three term test) = 22.554493376119996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8300000000000629 " " y[1] (analytic) = 0.6502484798575586 " " y[1] (numeric) = 0.6502484798575889 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 4.6611548525121027000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49801199495826276 " " Order of pole (three term test) = 22.544542708468292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8200000000000629 " " y[1] (analytic) = 0.635557585424865 " " y[1] (numeric) = 0.6355575854248952 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.751428818148256000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49880319065958256 " " Order of pole (three term test) = 22.534574224327095 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8100000000000629 " " y[1] (analytic) = 0.621003134096597 " " y[1] (numeric) = 0.6210031340966273 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 4.88066595933671970000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49939487173525887 " " Order of pole (three term test) = 22.52459191095715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.8000000000000629 " " y[1] (analytic) = 0.6065865813057593 " " y[1] (numeric) = 0.6065865813057897 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 5.014966010168888000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49978680152075083 " " Order of pole (three term test) = 22.51459976115071 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7900000000000629 " " y[1] (analytic) = 0.5923093686956172 " " y[1] (numeric) = 0.5923093686956474 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 5.0983603950594920000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49997882324936943 " " Order of pole (three term test) = 22.504601771634466 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7800000000000629 " " y[1] (analytic) = 0.5781729239755338 " " y[1] (numeric) = 0.578172923975564 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 5.223016336040345000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49997086011498376 " " Order of pole (three term test) = 22.494601941470926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7700000000000629 " " y[1] (analytic) = 0.564178660778201 " " y[1] (numeric) = 0.5641786607782311 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 5.3328929395949000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4997629153027414 " " Order of pole (three term test) = 22.48460427045883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7600000000000628 " " y[1] (analytic) = 0.5503279785182763 " " y[1] (numeric) = 0.5503279785183066 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 5.507459143522396000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49935507198779466 " " Order of pole (three term test) = 22.474612757533272 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7500000000000628 " " y[1] (analytic) = 0.536622262252444 " " y[1] (numeric) = 0.5366222622524742 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 5.627434490520287000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4987474933020317 " " Order of pole (three term test) = 22.464631399166212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7400000000000628 " " y[1] (analytic) = 0.523062882540909 " " y[1] (numeric) = 0.5230628825409392 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 5.7733146965255080000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49794042226882573 " " Order of pole (three term test) = 22.454664187767907 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7300000000000628 " " y[1] (analytic) = 0.509651195310343 " " y[1] (numeric) = 0.5096511953103734 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 5.96880987519425100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4969341817058293 " " Order of pole (three term test) = 22.444715110090026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7200000000000628 " " y[1] (analytic) = 0.49638854171829294 " " y[1] (numeric) = 0.49638854171832325 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 6.105920267085371000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4957291740958515 " " Order of pole (three term test) = 22.43478814563099 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7100000000000628 " " y[1] (analytic) = 0.48327624801906566 " " y[1] (numeric) = 0.4832762480190959 " " absolute error = 3.025357742103551600000000000000E-14 " " relative error = 6.2601002108098600000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49432588142586925 " " Order of pole (three term test) = 22.424887265044212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.7000000000000628 " " y[1] (analytic) = 0.47031562543110406 " " y[1] (numeric) = 0.4703156254311344 " " absolute error = 3.03645997234980300000000000000E-14 " " relative error = 6.456217501952017000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4927248649942408 " " Order of pole (three term test) = 22.415016428549944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6900000000000628 " " y[1] (analytic) = 0.4575079700058665 " " y[1] (numeric) = 0.4575079700058971 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 6.685488851272002000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4909267651861918 " " Order of pole (three term test) = 22.405179584351146 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6800000000000628 " " y[1] (analytic) = 0.44485456249822297 " " y[1] (numeric) = 0.44485456249825345 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 6.850693371517862000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4889323012176711 " " Order of pole (three term test) = 22.395380667054347 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6700000000000628 " " y[1] (analytic) = 0.4323566682383796 " " y[1] (numeric) = 0.4323566682384098 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 6.9845265467617510000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4867422708476741 " " Order of pole (three term test) = 22.38562359609583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6600000000000628 " " y[1] (analytic) = 0.42001553700534666 " " y[1] (numeric) = 0.4200155370053772 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 7.269048520174899000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48435755005914827 " " Order of pole (three term test) = 22.375912274173874 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6500000000000627 " " y[1] (analytic) = 0.4078324029019642 " " y[1] (numeric) = 0.40783240290199474 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 7.486196035416773000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48177909270861324 " " Order of pole (three term test) = 22.366250585687766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6400000000000627 " " y[1] (analytic) = 0.39580848423148973 " " y[1] (numeric) = 0.39580848423152015 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 7.685563116160491000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47900793014463044 " " Order of pole (three term test) = 22.356642395184082 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6300000000000627 " " y[1] (analytic) = 0.3839449833757702 " " y[1] (numeric) = 0.38394498337580063 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 7.923039026911016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.476045170795277 " " Order of pole (three term test) = 22.347091545810912 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6200000000000627 " " y[1] (analytic) = 0.37224308667500505 " " y[1] (numeric) = 0.3722430866750355 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 8.172109023286772000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47289199972478985 " " Order of pole (three term test) = 22.33760185778067 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6100000000000627 " " y[1] (analytic) = 0.36070396430911267 " " y[1] (numeric) = 0.36070396430914325 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 8.479708391064759000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4695496781595554 " " Order of pole (three term test) = 22.328177126842036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.6000000000000627 " " y[1] (analytic) = 0.3493287701807142 " " y[1] (numeric) = 0.34932877018074465 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 8.724051560423995000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.466019542983636 " " Order of pole (three term test) = 22.318821122761722 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5900000000000627 " " y[1] (analytic) = 0.3381186417997428 " " y[1] (numeric) = 0.33811864179977325 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 8.996874798978454000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4623030062040339 " " Order of pole (three term test) = 22.309537587816617 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5800000000000627 " " y[1] (analytic) = 0.32707470016969475 " " y[1] (numeric) = 0.32707470016972534 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 9.351577579236159000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4584015543859084 " " Order of pole (three term test) = 22.30033023529692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5700000000000627 " " y[1] (analytic) = 0.3161980496755302 " " y[1] (numeric) = 0.3161980496755607 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 9.638143580339414000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45431674805796785 " " Order of pole (three term test) = 22.291202748020876 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5600000000000627 " " y[1] (analytic) = 0.3054897779732344 " " y[1] (numeric) = 0.3054897779732649 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 9.975987487421161000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45005022108827997 " " Order of pole (three term test) = 22.282158776861703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5500000000000627 " " y[1] (analytic) = 0.2949509558810539 " " y[1] (numeric) = 0.29495095588108455 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.038889851640674400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.445603680030746 " " Order of pole (three term test) = 22.27320193928726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5400000000000627 " " y[1] (analytic) = 0.28458263727241606 " " y[1] (numeric) = 0.2845826372724467 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.076740161428829100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4409789034425031 " " Order of pole (three term test) = 22.264335817913178 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5300000000000626 " " y[1] (analytic) = 0.27438585897054135 " " y[1] (numeric) = 0.2743858589705719 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 1.11270796868834600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4361777411725236 " " Order of pole (three term test) = 22.255563959069786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5200000000000626 " " y[1] (analytic) = 0.2643616406447623 " " y[1] (numeric) = 0.264361640644793 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 1.161199732155383800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4312021136217011 " " Order of pole (three term test) = 22.24688987138367 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5100000000000626 " " y[1] (analytic) = 0.2545109847085588 " " y[1] (numeric) = 0.2545109847085892 " " absolute error = 3.03645997234980300000000000000E-14 " " relative error = 1.193056549534339800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4260540109747143 " " Order of pole (three term test) = 22.23831702437423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.5000000000000626 " " y[1] (analytic) = 0.24483487621931477 " " y[1] (numeric) = 0.2448348762193452 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 1.242474574883685700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4207354924039822 " " Order of pole (three term test) = 22.229848847065988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4900000000000626 " " y[1] (analytic) = 0.23533428277981594 " " y[1] (numeric) = 0.23533428277984653 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 1.299710521014085200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41524868524602 " " Order of pole (three term test) = 22.22148872661694 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4800000000000626 " " y[1] (analytic) = 0.22601015444148942 " " y[1] (numeric) = 0.22601015444152003 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 1.354558602895176200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4095957841505351 " " Order of pole (three term test) = 22.21324000696382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4700000000000626 " " y[1] (analytic) = 0.21686342360939903 " " y[1] (numeric) = 0.21686342360942942 " " absolute error = 3.03923552991136600000000000000E-14 " " relative error = 1.401451420127650700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4037790502025939 " " Order of pole (three term test) = 22.205105987484497 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.4600000000000626 " " y[1] (analytic) = 0.20789500494900526 " " y[1] (numeric) = 0.20789500494903568 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 1.463243952503383600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39780081001822104 " " Order of pole (three term test) = 22.19708992167832 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.45000000000006257 " " y[1] (analytic) = 0.19910579529470063 " " y[1] (numeric) = 0.19910579529473119 " " absolute error = 3.055888875280743400000000000000E-14 " " relative error = 1.534806594030906600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3916634548137806 " " Order of pole (three term test) = 22.189195015864712 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.44000000000006256 " " y[1] (analytic) = 0.19049667356012645 " " y[1] (numeric) = 0.19049667356015706 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 1.60708317535927300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38536943944952445 " " Order of pole (three term test) = 22.181424427900758 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.43000000000006255 " " y[1] (analytic) = 0.18206850065028213 " " y[1] (numeric) = 0.18206850065031252 " " absolute error = 3.03923552991136600000000000000E-14 " " relative error = 1.669281352379092500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37892128144767934 " " Order of pole (three term test) = 22.17378126591802 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.42000000000006255 " " y[1] (analytic) = 0.17382211937543446 " " y[1] (numeric) = 0.17382211937546507 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 1.761248799292070600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37232155998547145 " " Order of pole (three term test) = 22.166268587079394 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.41000000000006254 " " y[1] (analytic) = 0.16575835436683972 " " y[1] (numeric) = 0.16575835436687025 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 1.841906146680448700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3655729148634907 " " Order of pole (three term test) = 22.15888939635624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.40000000000006253 " " y[1] (analytic) = 0.15787801199427864 " " y[1] (numeric) = 0.15787801199430915 " " absolute error = 3.050337760157617600000000000000E-14 " " relative error = 1.932085235699673700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.358678045449805 " " Order of pole (three term test) = 22.15164664532646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3900000000000625 " " y[1] (analytic) = 0.15018188028542145 " " y[1] (numeric) = 0.15018188028545207 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 2.03848825476521300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35163970960024965 " " Order of pole (three term test) = 22.144543230993904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3800000000000625 " " y[1] (analytic) = 0.14267072884702603 " " y[1] (numeric) = 0.1426707288470565 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 2.136080909675384700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3444607225553209 " " Order of pole (three term test) = 22.137581994629592 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3700000000000625 " " y[1] (analytic) = 0.13534530878797646 " " y[1] (numeric) = 0.135345308788007 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 2.255795450215417600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33714395581411866 " " Order of pole (three term test) = 22.13076572063525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3600000000000625 " " y[1] (analytic) = 0.12820635264417435 " " y[1] (numeric) = 0.12820635264420496 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 2.38790038657493900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32969233598578374 " " Order of pole (three term test) = 22.124097135429594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3500000000000625 " " y[1] (analytic) = 0.12125457430528508 " " y[1] (numeric) = 0.12125457430531567 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 2.522514676552692300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3221088436188933 " " Order of pole (three term test) = 22.1175789063578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.3400000000000625 " " y[1] (analytic) = 0.11449066894334914 " " y[1] (numeric) = 0.11449066894337988 " " absolute error = 3.07392999943090200000000000000E-14 " " relative error = 2.68487382229542770000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3143965120092829 " " Order of pole (three term test) = 22.111213640624573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.33000000000006247 " " y[1] (analytic) = 0.10791531294326662 " " y[1] (numeric) = 0.10791531294329722 " " absolute error = 3.06005221162308770000000000000E-14 " " relative error = 2.83560518721918800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3065584259867662 " " Order of pole (three term test) = 22.10500388425136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.32000000000006246 " " y[1] (analytic) = 0.10152916383515764 " " y[1] (numeric) = 0.10152916383518824 " " absolute error = 3.06005221162308770000000000000E-14 " " relative error = 3.01396376768292600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2985977206812463 " " Order of pole (three term test) = 22.09895212105789 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.31000000000006245 " " y[1] (analytic) = 9.5332860228611090E-2 " " y[1] (numeric) = 9.533286022864200E-2 " " absolute error = 3.090583344800279500000000000000E-14 " " relative error = 3.241886729705756000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2905175802687034 " " Order of pole (three term test) = 22.093060771668767 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.30000000000006244 " " y[1] (analytic) = 8.9327021748824900E-2 " " y[1] (numeric) = 8.93270217488555600E-2 " " absolute error = 3.06699110552699500000000000000E-14 " " relative error = 3.43344157846317300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28232123669756926 " " Order of pole (three term test) = 22.087332192545198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.29000000000006243 " " y[1] (analytic) = 8.35122489746414900E-2 " " y[1] (numeric) = 8.35122489746720800E-2 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 3.662533904183409300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2740119683959892 " " Order of pole (three term test) = 22.08176867504244 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2800000000000624 " " y[1] (analytic) = 7.78891233784926300E-2 " " y[1] (numeric) = 7.78891233785233200E-2 " " absolute error = 3.068378884307776400000000000000E-14 " " relative error = 3.939418947363634000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26559309896049443 " " Order of pole (three term test) = 22.076372444493323 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2700000000000624 " " y[1] (analytic) = 7.24582072682523600E-2 " " y[1] (numeric) = 7.24582072682829800E-2 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 4.225111420532264000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25706799582661 " " Order of pole (three term test) = 22.071145659318116 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2600000000000624 " " y[1] (analytic) = 6.72200437310054300E-2 " " y[1] (numeric) = 6.72200437310363500E-2 " " absolute error = 3.09197112358106100000000000000E-14 " " relative error = 4.59977553117074330000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2484400689219225 " " Order of pole (three term test) = 22.066090410161205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.2500000000000624 " " y[1] (analytic) = 6.2175156578741400E-2 " " y[1] (numeric) = 6.217515657877203000E-2 " " absolute error = 3.062827769184650600000000000000E-14 " " relative error = 4.926127954829915000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23971276930215635 " " Order of pole (three term test) = 22.061208719054846 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.24000000000006239 " " y[1] (analytic) = 5.73240502959704300E-2 " " y[1] (numeric) = 5.73240502960011700E-2 " " absolute error = 3.07392999943090200000000000000E-14 " " relative error = 5.36237405340317200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23088958777079677 " " Order of pole (three term test) = 22.056502538610392 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.23000000000006238 " " y[1] (analytic) = 5.266720998927887000E-2 " " y[1] (numeric) = 5.26672099893094900E-2 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 5.812800774954790000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2219740534828157 " " Order of pole (three term test) = 22.05197375123727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.22000000000006237 " " y[1] (analytic) = 4.82051013388162800E-2 " " y[1] (numeric) = 4.820510133884697000E-2 " " absolute error = 3.068378884307776400000000000000E-14 " " relative error = 6.36525761607936000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2129697325330563 " " Order of pole (three term test) = 22.047624168390044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.21000000000006236 " " y[1] (analytic) = 4.39381705517294400E-2 " " y[1] (numeric) = 4.39381705517602360E-2 " " absolute error = 3.07948111455402800000000000000E-14 " " relative error = 7.00866940039864000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20388022652984195 " " Order of pole (three term test) = 22.04345552984387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.20000000000006235 " " y[1] (analytic) = 3.986684431754161700E-2 " " y[1] (numeric) = 3.98668443175722360E-2 " " absolute error = 3.0621338797942600000000000000E-14 " " relative error = 7.68090359849953100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19470917115438263 " " Order of pole (three term test) = 22.039469502998582 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.19000000000006234 " " y[1] (analytic) = 3.59915297654830300E-2 " " y[1] (numeric) = 3.59915297655136400E-2 " " absolute error = 3.060746101013478400000000000000E-14 " " relative error = 8.5040733777001800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18546023470654927 " " Order of pole (three term test) = 22.03566768221177 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.18000000000006233 " " y[1] (analytic) = 3.23126144237795300E-2 " " y[1] (numeric) = 3.231261442381022600E-2 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 9.50021135036802300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17613711663760345 " " Order of pole (three term test) = 22.03205158816106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.17000000000006232 " " y[1] (analytic) = 2.88304661808994600E-2 " " y[1] (numeric) = 2.88304661809304100E-2 " " absolute error = 3.09474668114262400000000000000E-14 " " relative error = 1.07342928890720880000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.166743546070466 " " Order of pole (three term test) = 22.028622667235844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.16000000000006231 " " y[1] (analytic) = 2.554543324876590300E-2 " " y[1] (numeric) = 2.554543324879670000E-2 " " absolute error = 3.07948111455402800000000000000E-14 " " relative error = 1.20549183275362830000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15728328030811822 " " Order of pole (three term test) = 22.025382290958802 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1500000000000623 " " y[1] (analytic) = 2.245784412793394600E-2 " " y[1] (numeric) = 2.245784412796479300E-2 " " absolute error = 3.084685284981958400000000000000E-14 " " relative error = 1.37354470331598120000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1477601033307294 " " Order of pole (three term test) = 22.022331755437218 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1400000000000623 " " y[1] (analytic) = 1.956800757474308500E-2 " " y[1] (numeric) = 1.95680075747737880E-2 " " absolute error = 3.070460552478948600000000000000E-14 " " relative error = 1.56912273298691300000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13817782428211672 " " Order of pole (three term test) = 22.01947228084463 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1300000000000623 " " y[1] (analytic) = 1.68762125704401400E-2 " " y[1] (numeric) = 1.687621257047081700E-2 " " absolute error = 3.067684994917385700000000000000E-14 " " relative error = 1.81775678761634530000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1285402759461377 " " Order of pole (three term test) = 22.016805010932764 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.12000000000006229 " " y[1] (analytic) = 1.438272829228237600E-2 " " y[1] (numeric) = 1.438272829231315700E-2 " " absolute error = 3.078093335773246500000000000000E-14 " " relative error = 2.14013174219867570000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11885131321362781 " " Order of pole (three term test) = 22.014331012574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1100000000000623 " " y[1] (analytic) = 1.208780408661980200E-2 " " y[1] (numeric) = 1.208780408665072300E-2 " " absolute error = 3.092144595928658600000000000000E-14 " " relative error = 2.55806974845944600000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10911481154049552 " " Order of pole (three term test) = 22.01205127533471 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -0.1000000000000623 " " y[1] (analytic) = 9.991669443961015000E-3 " " y[1] (numeric) = 9.991669443991652000E-3 " " absolute error = 3.06369513092263900000000000000E-14 " " relative error = 3.0662494872409360000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.93346653975916700E-2 " " Order of pole (three term test) = 22.009966711079393 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -9.00000000000623100E-2 " " y[1] (analytic) = 8.094533976022777000E-3 " " y[1] (numeric) = 8.094533976053438000E-3 " " absolute error = 3.066123743789006500000000000000E-14 " " relative error = 3.78789409355909160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.95147867129733600E-2 " " Order of pole (three term test) = 22.00807815360595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -8.00000000000623100E-2 " " y[1] (analytic) = 6.396587394771114000E-3 " " y[1] (numeric) = 6.396587394801933000E-3 " " absolute error = 3.081909727420395500000000000000E-14 " " relative error = 4.818053029244469500000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.96591033071845100E-2 " " Order of pole (three term test) = 22.0063863583122 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -7.00000000000623200E-2 " " y[1] (analytic) = 4.89799949344948970E-3 " " y[1] (numeric) = 4.8979994934803106000E-3 " " absolute error = 3.08208319976799300000000000000E-14 " " relative error = 6.2925347458486360000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.97715573221799200E-2 " " Order of pole (three term test) = 22.004892001893683 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -6.000000000006231000E-2 " " y[1] (analytic) = 3.598920129599281000E-3 " " y[1] (numeric) = 3.598920129629885000E-3 " " absolute error = 3.06039915631828300000000000000E-14 " " relative error = 8.5036595592885270000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.98561036445215900E-2 " " Order of pole (three term test) = 22.003595682073072 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -5.000000000006232000E-2 " " y[1] (analytic) = 2.499479210073651800E-3 " " y[1] (numeric) = 2.4994792101044788000E-3 " " absolute error = 3.08269035298458500000000000000E-14 " " relative error = 1.2333330641680944000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.99167083234760670E-2 " " Order of pole (three term test) = 22.002497917360994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -4.00000000000623130E-2 " " y[1] (analytic) = 1.5997866780490533000E-3 " " y[1] (numeric) = 1.5997866780798464000E-3 " " absolute error = 3.0793076422064300000000000000E-14 " " relative error = 1.9248239058732874000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.9957346984648500E-2 " " Order of pole (three term test) = 22.001599146848697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -3.00000000000623100E-2 " " y[1] (analytic) = 8.9993250202879960000E-4 " " y[1] (numeric) = 8.9993250205944890000E-4 " " absolute error = 3.064931121399272500000000000000E-14 " " relative error = 3.4057344461831524000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.998200323978450500E-2 " " Order of pole (three term test) = 22.00089973003241 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -2.000000000006230700E-2 " " y[1] (analytic) = 3.99986666846818830000E-4 " " y[1] (numeric) = 3.9998666687767880000E-4 " " absolute error = 3.08599716961066600000000000000E-14 " " relative error = 7.715250095555053000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.999466709337933000E-2 " " Order of pole (three term test) = 22.000399946669514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -1.000000000006230800E-2 " " y[1] (analytic) = 9.99991666706945300000E-5 " " y[1] (numeric) = 9.99991667014340500000E-5 " " absolute error = 3.07395168347435200000000000000E-14 " " relative error = 3.07397729982803500000000E-8 "%" Correct digits = 11 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.999333346728836000E-3 " " Order of pole (three term test) = 22.000099996666712 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = -6.23077978101349600000000000000E-14 " " y[1] (analytic) = 0.0 " " y[1] (numeric) = 3.0743501277727403000000000000E-14 " " absolute error = 3.0743501277727403000000000000E-14 " " relative error = -1. "%" Correct digits = -1 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.23077978101349700000000000000E-14 " " Order of pole (three term test) = 22. " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.999999999937692000E-3 " " y[1] (analytic) = 9.99991666681410200000E-5 " " y[1] (numeric) = 9.99991666989418200000E-5 " " absolute error = 3.08008013625432600000000000000E-14 " " relative error = 3.08010580375727900000000E-8 "%" Correct digits = 11 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.999333346604247000E-3 " " Order of pole (three term test) = 22.00009999666671 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.999999999993769300E-2 " " y[1] (analytic) = 3.9998666684215590000E-4 " " y[1] (numeric) = 3.9998666687269450000E-4 " " absolute error = 3.053861417218195500000000000000E-14 " " relative error = 7.634908036630433000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.999466709325484200E-2 " " Order of pole (three term test) = 22.000399946669514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.999999999993769300E-2 " " y[1] (analytic) = 8.999325020210280000E-4 " " y[1] (numeric) = 8.999325020519731000E-4 " " absolute error = 3.09449731464295200000000000000E-14 " " relative error = 3.438588235999332000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.998200323966010000E-2 " " Order of pole (three term test) = 22.000899730032398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.999999999993769700E-2 " " y[1] (analytic) = 1.5997866780389502000E-3 " " y[1] (numeric) = 1.5997866780698794000E-3 " " absolute error = 3.09292522149284800000000000000E-14 " " relative error = 1.9333360278285455000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.99573469845242340E-2 " " Order of pole (three term test) = 22.001599146848683 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9999999999937700E-2 " " y[1] (analytic) = 2.4994792100612173000E-3 " " y[1] (numeric) = 2.499479210092022000E-3 " " absolute error = 3.080478580552714600000000000000E-14 " " relative error = 1.2324481708640689000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.991670832335206600E-2 " " Order of pole (three term test) = 22.002497917360976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.9999999999937700E-2 " " y[1] (analytic) = 3.598920129584293000E-3 " " y[1] (numeric) = 3.59892012961494030E-3 " " absolute error = 3.064692596921325700000000000000E-14 " " relative error = 8.5155893617325820000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.985610364439778000E-2 " " Order of pole (three term test) = 22.003595682073055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.9999999999937690E-2 " " y[1] (analytic) = 4.89799949343217000E-3 " " y[1] (numeric) = 4.897999493462878400E-3 " " absolute error = 3.07080749717414400000000000000E-14 " " relative error = 6.2695137092028160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.97715573220565500E-2 " " Order of pole (three term test) = 22.00489200189368 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.99999999999376900E-2 " " y[1] (analytic) = 6.396587394751241000E-3 " " y[1] (numeric) = 6.396587394782015000E-3 " " absolute error = 3.07739944638285600000000000000E-14 " " relative error = 4.8110019553676936000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.96591033070615100E-2 " " Order of pole (three term test) = 22.006386358312174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.99999999999376900E-2 " " y[1] (analytic) = 8.09453397600024000E-3 " " y[1] (numeric) = 8.094533976031036000E-3 " " absolute error = 3.079654586901625600000000000000E-14 " " relative error = 3.8046101184238630000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.95147867128508500E-2 " " Order of pole (three term test) = 22.00807815360593 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.99999999999376800E-2 " " y[1] (analytic) = 9.991669443936035000E-3 " " y[1] (numeric) = 9.99166944396677000E-3 " " absolute error = 3.07340958238810900000000000000E-14 " " relative error = 3.07597203813960000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.93346653974695500E-2 " " Order of pole (three term test) = 22.00996671107936 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10999999999993768 " " y[1] (analytic) = 1.208780408659260200E-2 " " y[1] (numeric) = 1.208780408662336200E-2 " " absolute error = 3.076011667602074300000000000000E-14 " " relative error = 2.5447232976036455000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10911481154037381 " " Order of pole (three term test) = 22.012051275334688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11999999999993767 " " y[1] (analytic) = 1.438272829225262200E-2 " " y[1] (numeric) = 1.43827282922833200E-2 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 2.1343423867237440000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11885131321350671 " " Order of pole (three term test) = 22.01433101257397 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12999999999993767 " " y[1] (analytic) = 1.687621257040783400E-2 " " y[1] (numeric) = 1.68762125704385100E-2 " " absolute error = 3.067684994917385700000000000000E-14 " " relative error = 1.8177567876198250000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12854027594601727 " " Order of pole (three term test) = 22.016805010932725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13999999999993767 " " y[1] (analytic) = 1.956800757470833500E-2 " " y[1] (numeric) = 1.95680075747390100E-2 " " absolute error = 3.067684994917385700000000000000E-14 " " relative error = 1.56770431695987840000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13817782428199704 " " Order of pole (three term test) = 22.019472280844596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.14999999999993768 " " y[1] (analytic) = 2.245784412789675300E-2 " " y[1] (numeric) = 2.245784412792754800E-2 " " absolute error = 3.07948111455402800000000000000E-14 " " relative error = 1.37122739699165890000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14776010333061032 " " Order of pole (three term test) = 22.02233175543718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1599999999999377 " " y[1] (analytic) = 2.554543324872604600E-2 " " y[1] (numeric) = 2.554543324875699400E-2 " " absolute error = 3.09474668114262400000000000000E-14 " " relative error = 1.2114676823095020000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15728328030799973 " " Order of pole (three term test) = 22.025382290958763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1699999999999377 " " y[1] (analytic) = 2.883046618085760600E-2 " " y[1] (numeric) = 2.883046618088824000E-2 " " absolute error = 3.06386860327023670000000000000E-14 " " relative error = 1.06271906394095550000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1667435460703486 " " Order of pole (three term test) = 22.0286226672358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.1799999999999377 " " y[1] (analytic) = 3.23126144237350100E-2 " " y[1] (numeric) = 3.23126144237656070E-2 " " absolute error = 3.06005221162308770000000000000E-14 " " relative error = 9.47014739041155200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17613711663748674 " " Order of pole (three term test) = 22.03205158816101 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18999999999993772 " " y[1] (analytic) = 3.59915297654359600E-2 " " y[1] (numeric) = 3.59915297654665730E-2 " " absolute error = 3.06143999040386900000000000000E-14 " " relative error = 8.50600130185043400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18546023470643358 " " Order of pole (three term test) = 22.035667682211717 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.19999999999993773 " " y[1] (analytic) = 3.98668443174922100E-2 " " y[1] (numeric) = 3.98668443175227300E-2 " " absolute error = 3.05172553893839900000000000000E-14 " " relative error = 7.65479583644749600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19470917115426783 " " Order of pole (three term test) = 22.039469502998532 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.20999999999993774 " " y[1] (analytic) = 4.39381705516774800E-2 " " y[1] (numeric) = 4.39381705517082830E-2 " " absolute error = 3.080175003944418700000000000000E-14 " " relative error = 7.01024864092076500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2038802265297283 " " Order of pole (three term test) = 22.04345552984382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.21999999999993775 " " y[1] (analytic) = 4.82051013387617700E-2 " " y[1] (numeric) = 4.82051013387925800E-2 " " absolute error = 3.080868893334809400000000000000E-14 " " relative error = 6.39116775563643500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21296973253294355 " " Order of pole (three term test) = 22.04762416838999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22999999999993775 " " y[1] (analytic) = 5.26672099892220300E-2 " " y[1] (numeric) = 5.26672099892526700E-2 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 5.818070766597474000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2219740534827042 " " Order of pole (three term test) = 22.05197375123721 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23999999999993776 " " y[1] (analytic) = 5.73240502959110300E-2 " " y[1] (numeric) = 5.732405029594192000E-2 " " absolute error = 3.08919556601949800000000000000E-14 " " relative error = 5.389004353448229000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23088958777068608 " " Order of pole (three term test) = 22.056502538610328 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24999999999993777 " " y[1] (analytic) = 6.21751565786796700E-2 " " y[1] (numeric) = 6.21751565787103600E-2 " " absolute error = 3.06907277369816700000000000000E-14 " " relative error = 4.936172166795275700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23971276930204696 " " Order of pole (three term test) = 22.061208719054786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2599999999999378 " " y[1] (analytic) = 6.72200437309414800E-2 " " y[1] (numeric) = 6.72200437309722800E-2 " " absolute error = 3.07948111455402800000000000000E-14 " " relative error = 4.581194750304124500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2484400689218144 " " Order of pole (three term test) = 22.06609041016114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2699999999999378 " " y[1] (analytic) = 7.24582072681858600E-2 " " y[1] (numeric) = 7.2458207268216500E-2 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 4.228941983927380000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2570679958265033 " " Order of pole (three term test) = 22.071145659318056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2799999999999378 " " y[1] (analytic) = 7.7889123378423800E-2 " " y[1] (numeric) = 7.78891233784544400E-2 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 3.934073738483306300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2655930989603891 " " Order of pole (three term test) = 22.076372444493256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2899999999999378 " " y[1] (analytic) = 8.3512248974570100E-2 " " y[1] (numeric) = 8.3512248974600800E-2 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 3.6758280381400300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27401196839588493 " " Order of pole (three term test) = 22.081768675042373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2999999999999378 " " y[1] (analytic) = 8.93270217487511800E-2 " " y[1] (numeric) = 8.9327021748781910E-2 " " absolute error = 3.07254222065012100000000000000E-14 " " relative error = 3.43965595236368200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28232123669746634 " " Order of pole (three term test) = 22.08733219254512 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3099999999999378 " " y[1] (analytic) = 9.53328602285353800E-2 " " y[1] (numeric) = 9.53328602285659600E-2 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 3.20840518737187330000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2905175802686022 " " Order of pole (three term test) = 22.0930607716687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.31999999999993783 " " y[1] (analytic) = 0.10152916383507915 " " y[1] (numeric) = 0.10152916383510985 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 3.023531906630288500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29859772068114626 " " Order of pole (three term test) = 22.098952121057817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.32999999999993784 " " y[1] (analytic) = 0.10791531294318579 " " y[1] (numeric) = 0.10791531294321646 " " absolute error = 3.06699110552699500000000000000E-14 " " relative error = 2.842035130956507300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30655842598666766 " " Order of pole (three term test) = 22.10500388425128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.33999999999993785 " " y[1] (analytic) = 0.1144906689432661 " " y[1] (numeric) = 0.11449066894329678 " " absolute error = 3.068378884307776400000000000000E-14 " " relative error = 2.680025291692774700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3143965120091859 " " Order of pole (three term test) = 22.1112136406245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.34999999999993786 " " y[1] (analytic) = 0.12125457430519948 " " y[1] (numeric) = 0.12125457430523022 " " absolute error = 3.07392999943090200000000000000E-14 " " relative error = 2.53510435960442800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32210884361879816 " " Order of pole (three term test) = 22.117578906357714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.35999999999993787 " " y[1] (analytic) = 0.12820635264408642 " " y[1] (numeric) = 0.12820635264411717 " " absolute error = 3.075317778211683600000000000000E-14 " " relative error = 2.39872495768526500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32969233598568987 " " Order of pole (three term test) = 22.12409713542951 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3699999999999379 " " y[1] (analytic) = 0.1353453087878861 " " y[1] (numeric) = 0.13534530878791687 " " absolute error = 3.078093335773246500000000000000E-14 " " relative error = 2.27425195844597100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33714395581402656 " " Order of pole (three term test) = 22.130765720635168 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3799999999999379 " " y[1] (analytic) = 0.14267072884693333 " " y[1] (numeric) = 0.14267072884696405 " " absolute error = 3.07254222065012100000000000000E-14 " " relative error = 2.153589769592155800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3444607225552307 " " Order of pole (three term test) = 22.137581994629503 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3899999999999379 " " y[1] (analytic) = 0.15018188028532675 " " y[1] (numeric) = 0.1501818802853573 " " absolute error = 3.055888875280743400000000000000E-14 " " relative error = 2.03479199319847200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35163970960016105 " " Order of pole (three term test) = 22.14454323099382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3999999999999379 " " y[1] (analytic) = 0.1578780119941814 " " y[1] (numeric) = 0.1578780119942121 " " absolute error = 3.06976666308855800000000000000E-14 " " relative error = 1.944391511087493500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3586780454497181 " " Order of pole (three term test) = 22.15164664532637 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4099999999999379 " " y[1] (analytic) = 0.16575835436674025 " " y[1] (numeric) = 0.1657583543667709 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.848603987214941500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36557291486340565 " " Order of pole (three term test) = 22.158889396356148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4199999999999379 " " y[1] (analytic) = 0.17382211937533298 " " y[1] (numeric) = 0.1738221193753634 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 1.75007133637827380000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37232155998538813 " " Order of pole (three term test) = 22.166268587079305 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.42999999999993793 " " y[1] (analytic) = 0.1820685006501782 " " y[1] (numeric) = 0.18206850065020858 " " absolute error = 3.03645997234980300000000000000E-14 " " relative error = 1.667756894523990400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3789212814475979 " " Order of pole (three term test) = 22.173781265917924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.43999999999993794 " " y[1] (analytic) = 0.1904966735600202 " " y[1] (numeric) = 0.19049667356005087 " " absolute error = 3.06699110552699500000000000000E-14 " " relative error = 1.609997197436978400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38536943944944524 " " Order of pole (three term test) = 22.18142442790066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.44999999999993795 " " y[1] (analytic) = 0.19910579529459227 " " y[1] (numeric) = 0.19910579529462274 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 1.53062455971557880000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3916634548137032 " " Order of pole (three term test) = 22.189195015864616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.45999999999993796 " " y[1] (analytic) = 0.20789500494889435 " " y[1] (numeric) = 0.207895004948925 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.47392456529616500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3978008100181452 " " Order of pole (three term test) = 22.197089921678216 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.46999999999993797 " " y[1] (analytic) = 0.2168634236092859 " " y[1] (numeric) = 0.21686342360931649 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 1.410410470302718400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4037790502025207 " " Order of pole (three term test) = 22.2051059874844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.479999999999938 " " y[1] (analytic) = 0.2260101544413744 " " y[1] (numeric) = 0.22601015444140488 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 1.348418264714107400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4095957841504637 " " Order of pole (three term test) = 22.213240006963726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.489999999999938 " " y[1] (analytic) = 0.2353342827796987 " " y[1] (numeric) = 0.23533428277972918 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 1.294992878470214400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4152486852459509 " " Order of pole (three term test) = 22.22148872661684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.499999999999938 " " y[1] (analytic) = 0.24483487621919509 " " y[1] (numeric) = 0.24483487621922564 " " absolute error = 3.055888875280743400000000000000E-14 " " relative error = 1.2481427983098600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4207354924039148 " " Order of pole (three term test) = 22.22984884706588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.509999999999938 " " y[1] (analytic) = 0.2545109847084368 " " y[1] (numeric) = 0.25451098470846745 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.203962002455706300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42605401097464884 " " Order of pole (three term test) = 22.23831702437412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.519999999999938 " " y[1] (analytic) = 0.26436164064463863 " " y[1] (numeric) = 0.2643616406446691 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 1.152800457420621900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43120211362163763 " " Order of pole (three term test) = 22.246889871383555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.529999999999938 " " y[1] (analytic) = 0.27438585897041534 " " y[1] (numeric) = 0.2743858589704458 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 1.110684863291241000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43617774117246305 " " Order of pole (three term test) = 22.255563959069686 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.539999999999938 " " y[1] (analytic) = 0.28458263727228783 " " y[1] (numeric) = 0.2845826372723185 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.076740161429314300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44097890344244467 " " Order of pole (three term test) = 22.264335817913075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.549999999999938 " " y[1] (analytic) = 0.2949509558809238 " " y[1] (numeric) = 0.2949509558809542 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 1.031361664310399800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44560368003068956 " " Order of pole (three term test) = 22.27320193928715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.559999999999938 " " y[1] (analytic) = 0.30548977797310173 " " y[1] (numeric) = 0.30548977797313237 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.003050108025295400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45005022108822534 " " Order of pole (three term test) = 22.282158776861586 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.569999999999938 " " y[1] (analytic) = 0.31619804967539544 " " y[1] (numeric) = 0.3161980496754261 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 9.69081103160223100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4543167480579156 " " Order of pole (three term test) = 22.291202748020766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.579999999999938 " " y[1] (analytic) = 0.3270747001695583 " " y[1] (numeric) = 0.3270747001695887 " " absolute error = 3.03645997234980300000000000000E-14 " " relative error = 9.283689538737409000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4584015543858587 " " Order of pole (three term test) = 22.30033023529681 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.589999999999938 " " y[1] (analytic) = 0.33811864179960416 " " y[1] (numeric) = 0.3381186417996345 " " absolute error = 3.03645997234980300000000000000E-14 " " relative error = 8.980457144239475000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46230300620398673 " " Order of pole (three term test) = 22.309537587816504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.599999999999938 " " y[1] (analytic) = 0.3493287701805734 " " y[1] (numeric) = 0.3493287701806039 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 8.724051560427512000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4660195429835906 " " Order of pole (three term test) = 22.31882112276161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.609999999999938 " " y[1] (analytic) = 0.36070396430897 " " y[1] (numeric) = 0.3607039643090004 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 8.433539379864475000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4695496781595124 " " Order of pole (three term test) = 22.32817712684192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.619999999999938 " " y[1] (analytic) = 0.37224308667486017 " " y[1] (numeric) = 0.3722430866748906 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 8.172109023289954000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47289199972474943 " " Order of pole (three term test) = 22.33760185778055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.629999999999938 " " y[1] (analytic) = 0.3839449833756232 " " y[1] (numeric) = 0.3839449833756537 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 7.937497127328127000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47604517079523884 " " Order of pole (three term test) = 22.34709154581079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6399999999999381 " " y[1] (analytic) = 0.39580848423134085 " " y[1] (numeric) = 0.3958084842313712 " " absolute error = 3.03645997234980300000000000000E-14 " " relative error = 7.671538365951405000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47900793014459475 " " Order of pole (three term test) = 22.35664239518396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6499999999999381 " " y[1] (analytic) = 0.40783240290181333 " " y[1] (numeric) = 0.4078324029018438 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 7.472584769900598000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4817790927085799 " " Order of pole (three term test) = 22.366250585687645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6599999999999381 " " y[1] (analytic) = 0.4200155370051939 " " y[1] (numeric) = 0.4200155370052243 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 7.242615616467806000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48435755005911724 " " Order of pole (three term test) = 22.37591227417375 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6699999999999381 " " y[1] (analytic) = 0.4323566682382244 " " y[1] (numeric) = 0.43235666823825497 " " absolute error = 3.05866443284230600000000000000E-14 " " relative error = 7.074400969241005000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4867422708476455 " " Order of pole (three term test) = 22.385623596095705 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6799999999999381 " " y[1] (analytic) = 0.4448545624980662 " " y[1] (numeric) = 0.4448545624980967 " " absolute error = 3.04756220259605470000000000000E-14 " " relative error = 6.850693371520277000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4889323012176451 " " Order of pole (three term test) = 22.395380667054226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6899999999999381 " " y[1] (analytic) = 0.4575079700057082 " " y[1] (numeric) = 0.4575079700057384 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 6.6005552361038620000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4909267651861682 " " Order of pole (three term test) = 22.405179584351025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6999999999999381 " " y[1] (analytic) = 0.47031562543094363 " " y[1] (numeric) = 0.47031562543097377 " " absolute error = 3.014255511857300000000000000E-14 " " relative error = 6.4090056737863630000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4927248649942196 " " Order of pole (three term test) = 22.415016428549816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7099999999999381 " " y[1] (analytic) = 0.4832762480189031 " " y[1] (numeric) = 0.4832762480189334 " " absolute error = 3.025357742103551600000000000000E-14 " " relative error = 6.260100210811966000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49432588142585066 " " Order of pole (three term test) = 22.4248872650441 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7199999999999381 " " y[1] (analytic) = 0.4963885417181285 " " y[1] (numeric) = 0.4963885417181588 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 6.105920267087395000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4957291740958352 " " Order of pole (three term test) = 22.434788145630865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7299999999999381 " " y[1] (analytic) = 0.5096511953101768 " " y[1] (numeric) = 0.5096511953102071 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 5.947025897549496000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49693418170581555 " " Order of pole (three term test) = 22.4447151100899 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7399999999999382 " " y[1] (analytic) = 0.5230628825407408 " " y[1] (numeric) = 0.5230628825407712 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 5.794540118205774000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49794042226881446 " " Order of pole (three term test) = 22.454664187767783 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7499999999999382 " " y[1] (analytic) = 0.5366222622522737 " " y[1] (numeric) = 0.5366222622523042 " " absolute error = 3.053113317719180500000000000000E-14 " " relative error = 5.689501782696949000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4987474933020229 " " Order of pole (three term test) = 22.46463139916609 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7599999999999382 " " y[1] (analytic) = 0.5503279785181046 " " y[1] (numeric) = 0.5503279785181348 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 5.487285300507543000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4993550719877884 " " Order of pole (three term test) = 22.47461275753315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7699999999999382 " " y[1] (analytic) = 0.5641786607780271 " " y[1] (numeric) = 0.5641786607780575 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 5.3722500830622010000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49976291530273764 " " Order of pole (three term test) = 22.484604270458703 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7799999999999382 " " y[1] (analytic) = 0.5781729239753584 " " y[1] (numeric) = 0.5781729239753886 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 5.223016336041931000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49997086011498254 " " Order of pole (three term test) = 22.494601941470805 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7899999999999382 " " y[1] (analytic) = 0.5923093686954398 " " y[1] (numeric) = 0.5923093686954702 " " absolute error = 3.04201108747292900000000000000E-14 " " relative error = 5.13584833914235000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49997882324937065 " " Order of pole (three term test) = 22.504601771634345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7999999999999382 " " y[1] (analytic) = 0.6065865813055805 " " y[1] (numeric) = 0.6065865813056107 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.978360418855252700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4997868015207544 " " Order of pole (three term test) = 22.51459976115058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8099999999999382 " " y[1] (analytic) = 0.6210031340964165 " " y[1] (numeric) = 0.6210031340964467 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.862788062051185400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.499394871735265 " " Order of pole (three term test) = 22.52459191095702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8199999999999382 " " y[1] (analytic) = 0.6355575854246825 " " y[1] (numeric) = 0.6355575854247127 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.75142881814962060000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49880319065959117 " " Order of pole (three term test) = 22.53457422432697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8299999999999382 " " y[1] (analytic) = 0.6502484798573747 " " y[1] (numeric) = 0.6502484798574049 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.644081025214837000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4980119949582739 " " Order of pole (three term test) = 22.54454270846817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8399999999999382 " " y[1] (analytic) = 0.665074348317292 " " y[1] (numeric) = 0.665074348317322 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 4.523861737182486000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4970216010990446 " " Order of pole (three term test) = 22.55449337611987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8499999999999382 " " y[1] (analytic) = 0.6800337082299429 " " y[1] (numeric) = 0.6800337082299731 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.44067197027728000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4958324052262422 " " Order of pole (three term test) = 22.5644222471477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8599999999999383 " " y[1] (analytic) = 0.6951250636718028 " " y[1] (numeric) = 0.6951250636718329 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 4.328292208083447400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4944448830023599 " " Order of pole (three term test) = 22.57432535013562 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8699999999999383 " " y[1] (analytic) = 0.7103469055199031 " " y[1] (numeric) = 0.7103469055199334 " " absolute error = 3.030908857226677400000000000000E-14 " " relative error = 4.266800958340706000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4928595894177871 " " Order of pole (three term test) = 22.584198723974474 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8799999999999383 " " y[1] (analytic) = 0.7256977116027445 " " y[1] (numeric) = 0.7256977116027746 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 4.14594720174779050000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4910771585688209 " " Order of pole (three term test) = 22.59403841944638 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8899999999999383 " " y[1] (analytic) = 0.7411759468525103 " " y[1] (numeric) = 0.7411759468525405 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 4.074345153541996700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4890983034040352 " " Order of pole (three term test) = 22.603840500804335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8999999999999383 " " y[1] (analytic) = 0.7567800634585744 " " y[1] (numeric) = 0.7567800634586046 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.990335862152013000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4869238154391116 " " Order of pole (three term test) = 22.61360104734648 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9099999999999383 " " y[1] (analytic) = 0.7725085010222794 " " y[1] (numeric) = 0.7725085010223096 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.909091774374316400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4845545644402435 " " Order of pole (three term test) = 22.62331615498436 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9199999999999383 " " y[1] (analytic) = 0.7883596867129761 " " y[1] (numeric) = 0.7883596867130063 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.830493463676903400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4819914980762405 " " Order of pole (three term test) = 22.63298193780443 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9299999999999383 " " y[1] (analytic) = 0.8043320354253048 " " y[1] (numeric) = 0.8043320354253347 " " absolute error = 2.98649993624167100000000000000E-14 " " relative error = 3.713018759301942000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4792356415394747 " " Order of pole (three term test) = 22.64259452962245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9399999999999383 " " y[1] (analytic) = 0.820423949937704 " " y[1] (numeric) = 0.820423949937734 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.667255687699792000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47628809713581644 " " Order of pole (three term test) = 22.652150085529858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9499999999999383 " " y[1] (analytic) = 0.8366338210721328 " " y[1] (numeric) = 0.8366338210721628 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 3.5829320916605356000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47315004384372716 " " Order of pole (three term test) = 22.661644783431694 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9599999999999383 " " y[1] (analytic) = 0.8529600278549855 " " y[1] (numeric) = 0.8529600278550157 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.5403846937289696000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46982273684268383 " " Order of pole (three term test) = 22.671074825575392 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9699999999999384 " " y[1] (analytic) = 0.8694009376791896 " " y[1] (numeric) = 0.8694009376792197 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.460663850634575000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4663075070111225 " " Order of pole (three term test) = 22.680436440069823 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9799999999999384 " " y[1] (analytic) = 0.8859549064674629 " " y[1] (numeric) = 0.885954906467493 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.3960017318834845000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4626057603941076 " " Order of pole (three term test) = 22.689725882394022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9899999999999384 " " y[1] (analytic) = 0.9026202788367219 " " y[1] (numeric) = 0.9026202788367518 " " absolute error = 2.98649993624167100000000000000E-14 " " relative error = 3.3087002433521760000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4587189776409296 " " Order of pole (three term test) = 22.698939436894904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9999999999999384 " " y[1] (analytic) = 0.9193953882636167 " " y[1] (numeric) = 0.9193953882636469 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.2845570747137160000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4546487134128666 " " Order of pole (three term test) = 22.70807341827351 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0099999999999383 " " y[1] (analytic) = 0.9362785572511845 " " y[1] (numeric) = 0.9362785572512147 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.225329260819836400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45039659576134045 " " Order of pole (three term test) = 22.717124173059094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0199999999999383 " " y[1] (analytic) = 0.9532680974965957 " " y[1] (numeric) = 0.9532680974966258 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.1561996091502675000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4459643254767178 " " Order of pole (three term test) = 22.7260880810704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0299999999999383 " " y[1] (analytic) = 0.9703623100599835 " " y[1] (numeric) = 0.9703623100600136 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.100598988174004000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44135367540801584 " " Order of pole (three term test) = 22.734961556863748 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0399999999999383 " " y[1] (analytic) = 0.9875594855343368 " " y[1] (numeric) = 0.9875594855343669 " " absolute error = 3.00870439673417400000000000000E-14 " " relative error = 3.0466057395076930000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43656648975378837 " " Order of pole (three term test) = 22.743741051167127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0499999999999383 " " y[1] (analytic) = 1.004857904216439 " " y[1] (numeric) = 1.0048579042164691 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 3.0052076162302666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43160468332446783 " " Order of pole (three term test) = 22.75242305229987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0599999999999383 " " y[1] (analytic) = 1.0222558362788372 " " y[1] (numeric) = 1.0222558362788674 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.9540615174895646000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4264702407764703 " " Order of pole (three term test) = 22.761004087577298 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0699999999999383 " " y[1] (analytic) = 1.0397515419428238 " " y[1] (numeric) = 1.0397515419428536 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.86164298485747040000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42116521581835614 " " Order of pole (three term test) = 22.7694807246997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0799999999999383 " " y[1] (analytic) = 1.0573432716524112 " " y[1] (numeric) = 1.0573432716524411 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.835032147888248400000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4156917303893758 " " Order of pole (three term test) = 22.77784957312525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0899999999999384 " " y[1] (analytic) = 1.075029266249289 " " y[1] (numeric) = 1.0750292662493188 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.7677364695162193000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41005197381072245 " " Order of pole (three term test) = 22.786107285426173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0999999999999384 " " y[1] (analytic) = 1.0928077571487353 " " y[1] (numeric) = 1.0928077571487653 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.7430278993526010000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4042482019098314 " " Order of pole (three term test) = 22.794250558627624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1099999999999384 " " y[1] (analytic) = 1.110676966516476 " " y[1] (numeric) = 1.110676966516506 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.698896490029493700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3982827361180806 " " Order of pole (three term test) = 22.802276135528913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1199999999999384 " " y[1] (analytic) = 1.1286351074464647 " " y[1] (numeric) = 1.1286351074464949 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.6756270534705720000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39215796254224844 " " Order of pole (three term test) = 22.810180806006297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1299999999999384 " " y[1] (analytic) = 1.1466803841395738 " " y[1] (numeric) = 1.146680384139604 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.63352078639278000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38587633101010216 " " Order of pole (three term test) = 22.81796140829695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1399999999999384 " " y[1] (analytic) = 1.1648109920831717 " " y[1] (numeric) = 1.164810992083202 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.592529300895196600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3794403540905011 " " Order of pole (three term test) = 22.82561483026372 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1499999999999384 " " y[1] (analytic) = 1.1830251182315727 " " y[1] (numeric) = 1.183025118231603 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 2.552614124960033000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37285260608840126 " " Order of pole (three term test) = 22.833138010639864 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1599999999999384 " " y[1] (analytic) = 1.201320941187341 " " y[1] (numeric) = 1.2013209411873707 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.476771696874481800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3661157220151676 " " Order of pole (three term test) = 22.840527940253534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1699999999999384 " " y[1] (analytic) = 1.2196966313834263 " " y[1] (numeric) = 1.219696631383456 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.4394571809390095000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3592323965346059 " " Order of pole (three term test) = 22.847781663231412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1799999999999384 " " y[1] (analytic) = 1.2381503512661225 " " y[1] (numeric) = 1.2381503512661525 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.4210324403838349000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3522053828851318 " " Order of pole (three term test) = 22.85489627818102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1899999999999384 " " y[1] (analytic) = 1.2566802554788197 " " y[1] (numeric) = 1.2566802554788497 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.385334020662063800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3450374917785127 " " Order of pole (three term test) = 22.86186893935124 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1999999999999384 " " y[1] (analytic) = 1.2752844910465382 " " y[1] (numeric) = 1.275284491046568 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.3331246689542312000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33773159027562094 " " Order of pole (three term test) = 22.86869685777058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2099999999999385 " " y[1] (analytic) = 1.2939611975612242 " " y[1] (numeric) = 1.293961197561254 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.299448941439094000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33029060063964666 " " Order of pole (three term test) = 22.875377302362704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2199999999999385 " " y[1] (analytic) = 1.3127085073677902 " " y[1] (numeric) = 1.3127085073678202 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 2.283524597931217700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32271749916723225 " " Order of pole (three term test) = 22.881907601038847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2299999999999385 " " y[1] (analytic) = 1.331524545750879 " " y[1] (numeric) = 1.3315245457509086 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.217903721660301000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3150153149979941 " " Order of pole (three term test) = 22.888285141766612 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2399999999999385 " " y[1] (analytic) = 1.3504074311223313 " " y[1] (numeric) = 1.3504074311223608 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.186890546839261000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30718712890290434 " " Order of pole (three term test) = 22.894507373614726 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2499999999999385 " " y[1] (analytic) = 1.369355275209346 " " y[1] (numeric) = 1.3693552752093756 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.156630422336113000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29923607205202757 " " Order of pole (three term test) = 22.90057180777343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2599999999999385 " " y[1] (analytic) = 1.3883661832433045 " " y[1] (numeric) = 1.3883661832433338 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 2.111106436029328000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29116532476209084 " " Order of pole (three term test) = 22.90647601854991 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2699999999999385 " " y[1] (analytic) = 1.4074382541492452 " " y[1] (numeric) = 1.4074382541492747 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 2.0982755277516843000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2829781152244021 " " Order of pole (three term test) = 22.91221764433858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2799999999999385 " " y[1] (analytic) = 1.426569580735971 " " y[1] (numeric) = 1.4265695807360008 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.085701073522403000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2746777182136147 " " Order of pole (three term test) = 22.91779438856567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2899999999999385 " " y[1] (analytic) = 1.4457582498867665 " " y[1] (numeric) = 1.4457582498867962 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.058018832836303000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2662674537778626 " " Order of pole (three term test) = 22.923204020607855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2999999999999385 " " y[1] (analytic) = 1.4650023427507066 " " y[1] (numeric) = 1.4650023427507364 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.030984947374743200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2577506859107848 " " Order of pole (three term test) = 22.92844437668444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3099999999999385 " " y[1] (analytic) = 1.4842999349345418 " " y[1] (numeric) = 1.4842999349345716 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 2.0045798264665665000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24913082120597244 " " Order of pole (three term test) = 22.93351336072287 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3199999999999386 " " y[1] (analytic) = 1.5036490966951348 " " y[1] (numeric) = 1.5036490966951648 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 1.99355166912037030000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24041130749437808 " " Order of pole (three term test) = 22.938408945197107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3299999999999386 " " y[1] (analytic) = 1.5230478931324343 " " y[1] (numeric) = 1.523047893132464 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.9535811837643235000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23159563246522719 " " Order of pole (three term test) = 22.94312917193865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3399999999999386 " " y[1] (analytic) = 1.5424943843829615 " " y[1] (numeric) = 1.5424943843829912 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.9289520507302577000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22268732227099047 " " Order of pole (three term test) = 22.94767215291972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3499999999999386 " " y[1] (analytic) = 1.5619866258137969 " " y[1] (numeric) = 1.5619866258138266 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.904880398348631000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21368994011697054 " " Order of pole (three term test) = 22.952036071008504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3599999999999386 " " y[1] (analytic) = 1.5815226682170413 " " y[1] (numeric) = 1.5815226682170709 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.8673100960558806000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20460708483606485 " " Order of pole (three term test) = 22.956219180695957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3699999999999386 " " y[1] (analytic) = 1.6011005580047337 " " y[1] (numeric) = 1.6011005580047635 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.8583453057460136000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19544238944928283 " " Order of pole (three term test) = 22.960219808793966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3799999999999386 " " y[1] (analytic) = 1.620718337404211 " " y[1] (numeric) = 1.6207183374042404 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.8221508187738752000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1861995197125848 " " Order of pole (three term test) = 22.964036355104646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3899999999999386 " " y[1] (analytic) = 1.6403740446538801 " " y[1] (numeric) = 1.64037404465391 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.813853197502421000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17688217265062892 " " Order of pole (three term test) = 22.967667293060348 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.3999999999999386 " " y[1] (analytic) = 1.6600657141993973 " " y[1] (numeric) = 1.6600657141994268 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.7789616520856572000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16749407507801028 " " Order of pole (three term test) = 22.971111170334307 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4099999999999386 " " y[1] (analytic) = 1.6797913768902166 " " y[1] (numeric) = 1.6797913768902462 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.7580714403773984000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1580389821085851 " " Order of pole (three term test) = 22.97436660942154 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4199999999999386 " " y[1] (analytic) = 1.699549060176507 " " y[1] (numeric) = 1.6995490601765368 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.7506983327015047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14852067565347457 " " Order of pole (three term test) = 22.97743230818979 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4299999999999387 " " y[1] (analytic) = 1.7193367883064052 " " y[1] (numeric) = 1.719336788306435 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.7305496667271741000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13894296290835234 " " Order of pole (three term test) = 22.98030704040046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4399999999999387 " " y[1] (analytic) = 1.7391525825235874 " " y[1] (numeric) = 1.7391525825236172 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.7108318935869246000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12930967483061453 " " Order of pole (three term test) = 22.982989656198974 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4499999999999387 " " y[1] (analytic) = 1.7589944612651451 " " y[1] (numeric) = 1.758994461265175 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.6915333001420504000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1196246646070508 " " Order of pole (three term test) = 22.985479082574788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4599999999999387 " " y[1] (analytic) = 1.7788604403597388 " " y[1] (numeric) = 1.7788604403597688 " " absolute error = 2.997602166487922700000000000000E-14 " " relative error = 1.6851249814076016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10989180611261826 " " Order of pole (three term test) = 22.98777432379053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4699999999999387 " " y[1] (analytic) = 1.7987485332260147 " " y[1] (numeric) = 1.7987485332260442 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.641804393972976000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10011499236094533 " " Order of pole (three term test) = 22.989874461780335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4799999999999387 " " y[1] (analytic) = 1.8186567510712588 " " y[1] (numeric) = 1.818656751071288 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.6116228547712197000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.02981339471767300E-2 " " Order of pole (three term test) = 22.991778656516995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4899999999999387 " " y[1] (analytic) = 1.8385831030902766 " " y[1] (numeric) = 1.8385831030903061 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.6062332132494920000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.04451574837883900E-2 " " Order of pole (three term test) = 22.99348614634801 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.4999999999999387 " " y[1] (analytic) = 1.8585255966644718 " " y[1] (numeric) = 1.8585255966645016 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.6009452392452478000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.05600040299942500E-2 " " Order of pole (three term test) = 22.994996248300218 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5099999999999387 " " y[1] (analytic) = 1.8784822375611059 " " y[1] (numeric) = 1.8784822375611354 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.5721166729461028000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.064662751537570000E-2 " " Order of pole (three term test) = 22.996308358352962 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5199999999999387 " " y[1] (analytic) = 1.898451030132719 " " y[1] (numeric) = 1.8984510301327489 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.5672765105705210000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.0708993158361900E-2 " " Order of pole (three term test) = 22.99742195167972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5299999999999387 " " y[1] (analytic) = 1.9184299775166953 " " y[1] (numeric) = 1.918429977516725 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.5509545518293621000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.07510758801956200E-2 " " Order of pole (three term test) = 22.998336582858016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5399999999999388 " " y[1] (analytic) = 1.9384170818349453 " " y[1] (numeric) = 1.9384170818349749 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.5235076460982086000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.077685871501774000E-2 " " Order of pole (three term test) = 22.999051886047567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5499999999999388 " " y[1] (analytic) = 1.9584103443936924 " " y[1] (numeric) = 1.9584103443937222 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.5192922742228354000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.0790331216706498E-2 " " Order of pole (three term test) = 22.999567575136638 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5599999999999388 " " y[1] (analytic) = 1.9784077658833428 " " y[1] (numeric) = 1.9784077658833723 " " absolute error = 2.953193245502916400000000000000E-14 " " relative error = 1.4927121175064434000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.079548786310925400E-2 " " Order of pole (three term test) = 22.999883443856465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5699999999999388 " " y[1] (analytic) = 1.9984073465784111 " " y[1] (numeric) = 1.9984073465784404 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.4666623348982022000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.9632645830469840000E-4 " " Order of pole (three term test) = 22.999999365863772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5799999999999388 " " y[1] (analytic) = 2.0184070865374943 " " y[1] (numeric) = 2.0184070865375237 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.4521296543991136000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.203153466465633000E-3 " " Order of pole (three term test) = 22.999915294791297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5899999999999388 " " y[1] (analytic) = 2.038404985803263 " " y[1] (numeric) = 2.038404985803292 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.4378834458430323000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.91989522525564620E-2 " " Order of pole (three term test) = 22.999631264266363 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5999999999999388 " " y[1] (analytic) = 2.0583990446024547 " " y[1] (numeric) = 2.0583990446024845 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.4454912004538303000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.91870717137288570E-2 " " Order of pole (three term test) = 22.999147387897377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6099999999999388 " " y[1] (analytic) = 2.078387263545853 " " y[1] (numeric) = 2.078387263545882 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.4102226454226682000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.916351673537154500E-2 " " Order of pole (three term test) = 22.99846385922845 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6199999999999388 " " y[1] (analytic) = 2.098367643828219 " " y[1] (numeric) = 2.098367643828248 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.396794691164403000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.912429687249334500E-2 " " Order of pole (three term test) = 22.997580951661917 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6299999999999388 " " y[1] (analytic) = 2.118338187428174 " " y[1] (numeric) = 2.1183381874282037 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.404590505734017200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.90654279458480600E-2 " " Order of pole (three term test) = 22.996499018349052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6399999999999388 " " y[1] (analytic) = 2.1382968973080017 " " y[1] (numeric) = 2.1382968973080314 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.391480158691378000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.89829336355529600E-2 " " Order of pole (three term test) = 22.99521849204875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6499999999999388 " " y[1] (analytic) = 2.1582417776133456 " " y[1] (numeric) = 2.1582417776133753 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.3786211243143073000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.88728470715637800E-2 " " Order of pole (three term test) = 22.99373988495444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6599999999999389 " " y[1] (analytic) = 2.1781708338727963 " " y[1] (numeric) = 2.1781708338728256 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.345619333171909000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.87312124203699600E-2 " " Order of pole (three term test) = 22.99206378848927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6699999999999389 " " y[1] (analytic) = 2.1980820731973347 " " y[1] (numeric) = 2.198082073197364 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.3334300937848925000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.855408646727499E-2 " " Order of pole (three term test) = 22.99019087306946 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6799999999999389 " " y[1] (analytic) = 2.2179735044796205 " " y[1] (numeric) = 2.2179735044796502 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.3414938005282914000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10833754019363016 " " Order of pole (three term test) = 22.988121887836215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6899999999999389 " " y[1] (analytic) = 2.237843138593103 " " y[1] (numeric) = 2.2378431385931328 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.3295827820470052000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11807766034838914 " " Order of pole (three term test) = 22.98585766035605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.699999999999939 " " y[1] (analytic) = 2.257688988590928 " " y[1] (numeric) = 2.257688988590958 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.3178952995879334000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1277705510133566 " " Order of pole (three term test) = 22.983399096289745 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.709999999999939 " " y[1] (analytic) = 2.2775090699046343 " " y[1] (numeric) = 2.277509069904664 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.3064262818149866000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13741233516150334 " " Order of pole (three term test) = 22.98074717903017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.719999999999939 " " y[1] (analytic) = 2.2973014005426062 " " y[1] (numeric) = 2.2973014005426364 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.3145017133002962000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14699915620772552 " " Order of pole (three term test) = 22.977902969308847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.729999999999939 " " y[1] (analytic) = 2.3170640012882746 " " y[1] (numeric) = 2.317064001288305 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.3032901228888932000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15652717955142723 " " Order of pole (three term test) = 22.974867604771763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.739999999999939 " " y[1] (analytic) = 2.3367948958980334 " " y[1] (numeric) = 2.3367948958980636 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.292285699648410800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16599259411030942 " " Order of pole (three term test) = 22.971642299524255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.749999999999939 " " y[1] (analytic) = 2.3564921112988637 " " y[1] (numeric) = 2.356492111298894 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.2814838685438895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17539161384475283 " " Order of pole (three term test) = 22.968228343645425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.759999999999939 " " y[1] (analytic) = 2.3761536777856405 " " y[1] (numeric) = 2.37615367778567 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.2521907710818690000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18472047927218185 " " Order of pole (three term test) = 22.964627102672083 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.769999999999939 " " y[1] (analytic) = 2.395777629218099 " " y[1] (numeric) = 2.395777629218128 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.223397676505974100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19397545897080903 " " Order of pole (three term test) = 22.96084001705263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.779999999999939 " " y[1] (analytic) = 2.4153620032174485 " " y[1] (numeric) = 2.415362003217478 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.21347805467922010000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20315285107215258 " " Order of pole (three term test) = 22.956868601570793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.789999999999939 " " y[1] (analytic) = 2.43490484136261 " " y[1] (numeric) = 2.43490484136264 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.2219769969861906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2122489847417359 " " Order of pole (three term test) = 22.952714444739843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.799999999999939 " " y[1] (analytic) = 2.4544041893860555 " " y[1] (numeric) = 2.4544041893860853 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.2122688344741153000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2212602216473715 " " Order of pole (three term test) = 22.948379208167104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.809999999999939 " " y[1] (analytic) = 2.473858097369231 " " y[1] (numeric) = 2.4738580973692605 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.2027358033023558000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23018295741444492 " " Order of pole (three term test) = 22.9438646258894 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.819999999999939 " " y[1] (analytic) = 2.49326461993755 " " y[1] (numeric) = 2.4932646199375794 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.1755626585211108000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23901362306761792 " " Order of pole (three term test) = 22.939172503679465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.829999999999939 " " y[1] (analytic) = 2.512621816454928 " " y[1] (numeric) = 2.512621816454957 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.1665061434297988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2477486864583694 " " Order of pole (three term test) = 22.934304718323613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.839999999999939 " " y[1] (analytic) = 2.531927751217843 " " y[1] (numeric) = 2.531927751217873 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1751511094912838000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25638465367780927 " " Order of pole (three term test) = 22.92926321687108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.849999999999939 " " y[1] (analytic) = 2.551180493648909 " " y[1] (numeric) = 2.551180493648938 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.1488755077529897000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26491807045419485 " " Order of pole (three term test) = 22.924050015855236 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.859999999999939 " " y[1] (analytic) = 2.5703781184899244 " " y[1] (numeric) = 2.570378118489954 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1575719870131172000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2733455235345924 " " Order of pole (three term test) = 22.91866720048697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.869999999999939 " " y[1] (analytic) = 2.589518705994405 " " y[1] (numeric) = 2.589518705994435 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1490157221524425000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2816636420501348 " " Order of pole (three term test) = 22.91311692382067 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.879999999999939 " " y[1] (analytic) = 2.6086003421195505 " " y[1] (numeric) = 2.6086003421195803 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1406107934409902000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2898690988643218 " " Order of pole (three term test) = 22.90740140589299 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.889999999999939 " " y[1] (analytic) = 2.6276211187176486 " " y[1] (numeric) = 2.627621118717679 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.1492549688648317000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.297958611903833 " " Order of pole (three term test) = 22.9015229328349 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.899999999999939 " " y[1] (analytic) = 2.646579133726892 " " y[1] (numeric) = 2.6465791337269216 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1242428643369104000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30592894547131116 " " Order of pole (three term test) = 22.89548385595724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.909999999999939 " " y[1] (analytic) = 2.6654724913615757 " " y[1] (numeric) = 2.6654724913616055 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1162740248260931000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31377691153959936 " " Order of pole (three term test) = 22.889286590810254 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.919999999999939 " " y[1] (analytic) = 2.6842993023016817 " " y[1] (numeric) = 2.684299302301712 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.1249887910752202000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32149937102690773 " " Order of pole (three term test) = 22.88293361621736 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.929999999999939 " " y[1] (analytic) = 2.7030576838818057 " " y[1] (numeric) = 2.7030576838818354 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.1007525750329204000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3290932350524069 " " Order of pole (three term test) = 22.876427473283684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.939999999999939 " " y[1] (analytic) = 2.721745760279421 " " y[1] (numeric) = 2.7217457602794504 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0768782403502342000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3365554661717358 " " Order of pole (three term test) = 22.869770764379666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9499999999999391 " " y[1] (analytic) = 2.740361662702461 " " y[1] (numeric) = 2.7403616627024903 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 1.0695627606029058000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3438830795919427 " " Order of pole (three term test) = 22.86296615210011 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9599999999999391 " " y[1] (analytic) = 2.7589035295761963 " " y[1] (numeric) = 2.758903529576226 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.078471093352249100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.35107314436535914 " " Order of pole (three term test) = 22.8560163581992 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9699999999999391 " " y[1] (analytic) = 2.777369506729392 " " y[1] (numeric) = 2.7773695067294217 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0713006313298312000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3581227845619428 " " Order of pole (three term test) = 22.848924162501827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9799999999999391 " " y[1] (analytic) = 2.79575774757972 " " y[1] (numeric) = 2.79575774757975 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0801388745482918000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36502918041960836 " " Order of pole (three term test) = 22.841692401791715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9899999999999392 " " y[1] (analytic) = 2.81406641331842 " " y[1] (numeric) = 2.8140664133184496 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0573303074559472000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3717895694720967 " " Order of pole (three term test) = 22.83432396867672 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9999999999999392 " " y[1] (analytic) = 2.832293673094174 " " y[1] (numeric) = 2.832293673094204 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.050525845628469000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37840124765392424 " " Order of pole (three term test) = 22.82682181043185 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.009999999999939 " " y[1] (analytic) = 2.850437704196194 " " y[1] (numeric) = 2.8504377041962243 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0594185666765844000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.384861570381973 " " Order of pole (three term test) = 22.819188927820377 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0199999999999387 " " y[1] (analytic) = 2.8684966922364907 " " y[1] (numeric) = 2.868496692236521 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.0527488615041639000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3911679536132882 " " Order of pole (three term test) = 22.81142837389357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0299999999999385 " " y[1] (analytic) = 2.8864688313313076 " " y[1] (numeric) = 2.8864688313313387 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0769645025117652000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39731787487866127 " " Order of pole (three term test) = 22.803543252769526 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0399999999999383 " " y[1] (analytic) = 2.9043523242817137 " " y[1] (numeric) = 2.904352324281745 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.070333114533287000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40330887429158385 " " Order of pole (three term test) = 22.795536718391567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.049999999999938 " " y[1] (analytic) = 2.9221453827533157 " " y[1] (numeric) = 2.9221453827533472 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0790131827611468000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40913855553216966 " " Order of pole (three term test) = 22.787411973266686 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.059999999999938 " " y[1] (analytic) = 2.939846227455095 " " y[1] (numeric) = 2.9398462274551265 " " absolute error = 3.153033389935444600000000000000E-14 " " relative error = 1.0725164331689882000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4148045868056507 " " Order of pole (three term test) = 22.779172267184613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0699999999999377 " " y[1] (analytic) = 2.9574530883173304 " " y[1] (numeric) = 2.9574530883173624 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.0811472626737977000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4203047017750637 " " Order of pole (three term test) = 22.770820895917904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0799999999999375 " " y[1] (analytic) = 2.974964204668609 " " y[1] (numeric) = 2.974964204668642 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.1046385525356366000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4256367004677546 " " Order of pole (three term test) = 22.76236119990373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0899999999999372 " " y[1] (analytic) = 2.9923778254118893 " " y[1] (numeric) = 2.9923778254119218 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.0833696214344954000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43079845015533846 " " Order of pole (three term test) = 22.75379656290769 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.099999999999937 " " y[1] (analytic) = 3.0096922091996063 " " y[1] (numeric) = 3.009692209199639 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.0918924343311527000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4357878862067632 " " Order of pole (three term test) = 22.7451304106704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.109999999999937 " " y[1] (analytic) = 3.026905624607811 " " y[1] (numeric) = 3.0269056246078443 " " absolute error = 3.330669073875469600000000000000E-14 " " relative error = 1.1003544500357577000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4406030129141328 " " Order of pole (three term test) = 22.736366209537213 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1199999999999366 " " y[1] (analytic) = 3.044016350309306 " " y[1] (numeric) = 3.0440163503093403 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1233470922381951000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4452419042909652 " " Order of pole (three term test) = 22.7275074650717 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1299999999999364 " " y[1] (analytic) = 3.0610226752457823 " " y[1] (numeric) = 3.061022675245816 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1025981683031723000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4497027048425612 " " Order of pole (three term test) = 22.718557720653564 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.139999999999936 " " y[1] (analytic) = 3.0779228987989153 " " y[1] (numeric) = 3.07792289879895 " " absolute error = 3.463895836830488400000000000000E-14 " " relative error = 1.1254004569712224000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4539836303081759 " " Order of pole (three term test) = 22.709520556061232 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.149999999999936 " " y[1] (analytic) = 3.094715330960435 " " y[1] (numeric) = 3.09471533096047 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.133643770952820900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4580829683747018 " " Order of pole (three term test) = 22.700399586040046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1599999999999357 " " y[1] (analytic) = 3.111398292501118 " " y[1] (numeric) = 3.111398292501154 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.156111259832934000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46199907936156925 " " Order of pole (three term test) = 22.691198458856395 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1699999999999355 " " y[1] (analytic) = 3.127970115138714 " " y[1] (numeric) = 3.1279701151387496 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.135788881615626000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4657303968765978 " " Order of pole (three term test) = 22.681920854838488 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1799999999999353 " " y[1] (analytic) = 3.1444291417047676 " " y[1] (numeric) = 3.1444291417048036 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.1439668180391273000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46927542844253156 " " Order of pole (three term test) = 22.672570484904224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.189999999999935 " " y[1] (analytic) = 3.160773726310338 " " y[1] (numeric) = 3.160773726310375 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.1661513163924658000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47263275609401056 " " Order of pole (three term test) = 22.6631510890769 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.199999999999935 " " y[1] (analytic) = 3.177002234510586 " " y[1] (numeric) = 3.1770022345106232 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1741727223919257000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47580103694473797 " " Order of pole (three term test) = 22.653666434989272 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2099999999999347 " " y[1] (analytic) = 3.193113043468215 " " y[1] (numeric) = 3.1931130434682524 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1682484496974742000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4787790037246168 " " Order of pole (three term test) = 22.644120316376508 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2199999999999345 " " y[1] (analytic) = 3.209104542115755 " " y[1] (numeric) = 3.209104542115792 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1624268744704452000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48156546528664085 " " Order of pole (three term test) = 22.634516551558768 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2299999999999343 " " y[1] (analytic) = 3.2249751313166666 " " y[1] (numeric) = 3.2249751313167043 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1704767106791315000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48415930708333715 " " Order of pole (three term test) = 22.624858981913928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.239999999999934 " " y[1] (analytic) = 3.240723224025256 " " y[1] (numeric) = 3.240723224025294 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.164788851988711000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4865594916125717 " " Order of pole (three term test) = 22.615151470341097 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.249999999999934 " " y[1] (analytic) = 3.256347245445375 " " y[1] (numeric) = 3.2563472454454137 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1864754691317075000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4887650588325346 " " Order of pole (three term test) = 22.605397899715456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2599999999999336 " " y[1] (analytic) = 3.271845633187903 " " y[1] (numeric) = 3.2718456331879415 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.180855259950357900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49077512654574496 " " Order of pole (three term test) = 22.595602171335212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2699999999999334 " " y[1] (analytic) = 3.2872168374269792 " " y[1] (numeric) = 3.2872168374270183 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 1.1888430973538906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4925888907519183 " " Order of pole (three term test) = 22.58576820336112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.279999999999933 " " y[1] (analytic) = 3.3024593210549895 " " y[1] (numeric) = 3.3024593210550295 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.2102504527970272000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49420562596955514 " " Order of pole (three term test) = 22.575899929249243 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.289999999999933 " " y[1] (analytic) = 3.3175715598362743 " " y[1] (numeric) = 3.3175715598363142 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.2047375065054541000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4956246855261246 " " Order of pole (three term test) = 22.56600129617765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2999999999999328 " " y[1] (analytic) = 3.3325520425595485 " " y[1] (numeric) = 3.332552042559588 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1859961726599003000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4968455018167246 " " Order of pole (three term test) = 22.55607626346759 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3099999999999326 " " y[1] (analytic) = 3.3473992711890226 " " y[1] (numeric) = 3.347399271189062 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.1807357436215359000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4978675865311164 " " Order of pole (three term test) = 22.546128800999817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3199999999999323 " " y[1] (analytic) = 3.362111761014206 " " y[1] (numeric) = 3.3621117610142464 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.2019861613453647000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49869053084904186 " " Order of pole (three term test) = 22.5361628876267 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.329999999999932 " " y[1] (analytic) = 3.3766880407983777 " " y[1] (numeric) = 3.3766880407984186 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2099491221151067000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4993140056037458 " " Order of pole (three term test) = 22.526182509580675 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.339999999999932 " " y[1] (analytic) = 3.3911266529257063 " " y[1] (numeric) = 3.391126652925747 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2047974460333685000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4997377614136397 " " Order of pole (three term test) = 22.516191658879926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3499999999999317 " " y[1] (analytic) = 3.40542615354701 " " y[1] (numeric) = 3.4054261535470514 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.2127790958860882000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999616287820496 " " Order of pole (three term test) = 22.506194331731518 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3599999999999315 " " y[1] (analytic) = 3.4195851127241443 " " y[1] (numeric) = 3.4195851127241856 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.207757524805538900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4999855181650127 " " Order of pole (three term test) = 22.496194526932992 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3699999999999313 " " y[1] (analytic) = 3.43360211457299 " " y[1] (numeric) = 3.433602114573031 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.2028270934703808000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49980942000709466 " " Order of pole (three term test) = 22.486196244272964 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.379999999999931 " " y[1] (analytic) = 3.4474757574050425 " " y[1] (numeric) = 3.447475757405084 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.1979865682113765000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4994334047452104 " " Order of pole (three term test) = 22.476203482931176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.389999999999931 " " y[1] (analytic) = 3.46120465386758 " " y[1] (numeric) = 3.4612046538676218 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2060652258530956000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4988576227804514 " " Order of pole (three term test) = 22.46622023987893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3999999999999306 " " y[1] (analytic) = 3.4747874310823974 " " y[1] (numeric) = 3.4747874310824396 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 1.2141311021898749000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4980823044179264 " " Order of pole (three term test) = 22.45625050828035 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4099999999999304 " " y[1] (analytic) = 3.488222730783092 " " y[1] (numeric) = 3.4882227307831344 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 1.2094547335939412000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49710775977464317 " " Order of pole (three term test) = 22.44629827589513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.41999999999993 " " y[1] (analytic) = 3.50150920945089 " " y[1] (numeric) = 3.5015092094509326 " " absolute error = 4.26325641456060100000000000000E-14 " " relative error = 1.2175482512094177000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4959343786554653 " " Order of pole (three term test) = 22.436367523483543 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.42999999999993 " " y[1] (analytic) = 3.5146455384489954 " " y[1] (numeric) = 3.514645538449039 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.238268328603963100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49456263039719517 " " Order of pole (three term test) = 22.426462223214138 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.43999999999993 " " y[1] (analytic) = 3.527630404155458 " " y[1] (numeric) = 3.527630404155501 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 1.2211215014110573000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49299306368084694 " " Order of pole (three term test) = 22.416586337074957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4499999999999296 " " y[1] (analytic) = 3.5404625080945245 " " y[1] (numeric) = 3.5404625080945684 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2417821591003955000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4912263063121794 " " Order of pole (three term test) = 22.40674381528878 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4599999999999294 " " y[1] (analytic) = 3.553140567066497 " " y[1] (numeric) = 3.553140567066541 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2373513218885664000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48926306497058386 " " Order of pole (three term test) = 22.39693859473309 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.469999999999929 " " y[1] (analytic) = 3.5656633132760422 " " y[1] (numeric) = 3.565663313276086 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2330056966248562000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48710412492642063 " " Order of pole (three term test) = 22.387174597365373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.479999999999929 " " y[1] (analytic) = 3.578029494458975 " " y[1] (numeric) = 3.578029494459019 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2287442527581514000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4847503497269218 " " Order of pole (three term test) = 22.377455728654386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4899999999999287 " " y[1] (analytic) = 3.5902378740074816 " " y[1] (numeric) = 3.590237874007526 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.2369353380876769000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4822026808507843 " " Order of pole (three term test) = 22.367785876018043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4999999999999285 " " y[1] (analytic) = 3.602287231093782 " " y[1] (numeric) = 3.6022872310938263 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.2327978902315943000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47946213733158954 " " Order of pole (three term test) = 22.358168907268457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5099999999999283 " " y[1] (analytic) = 3.6141763607922073 " " y[1] (numeric) = 3.614176360792252 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 1.2410299254191567000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4765298153502056 " " Order of pole (three term test) = 22.348608669064905 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.519999999999928 " " y[1] (analytic) = 3.6259040741996964 " " y[1] (numeric) = 3.6259040741997413 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 1.2370159076741766000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47340688779632756 " " Order of pole (three term test) = 22.339108985375205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.529999999999928 " " y[1] (analytic) = 3.6374691985546805 " " y[1] (numeric) = 3.637469198554726 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.2452916281106884000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4700946037993389 " " Order of pole (three term test) = 22.32967365594617 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5399999999999276 " " y[1] (analytic) = 3.648870577354362 " " y[1] (numeric) = 3.6488705773544083 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2657417369375010000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4665942882286747 " " Order of pole (three term test) = 22.320306454783772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5499999999999274 " " y[1] (analytic) = 3.6601070704703638 " " y[1] (numeric) = 3.6601070704704095 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 1.2497226920926717000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46290734116389354 " " Order of pole (three term test) = 22.311011128643578 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5599999999999272 " " y[1] (analytic) = 3.6711775542627354 " " y[1] (numeric) = 3.6711775542627816 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2580507791234213000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4590352373346623 " " Order of pole (three term test) = 22.301791395532103 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.569999999999927 " " y[1] (analytic) = 3.6820809216923243 " " y[1] (numeric) = 3.6820809216923704 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2543254427765063000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45497952553088544 " " Order of pole (three term test) = 22.292650943219673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.579999999999927 " " y[1] (analytic) = 3.692816082431473 " " y[1] (numeric) = 3.6928160824315195 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 1.2627048299560656000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45074182798320905 " " Order of pole (three term test) = 22.28359342776534 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5899999999999266 " " y[1] (analytic) = 3.7033819629730544 " " y[1] (numeric) = 3.703381962973101 " " absolute error = 4.662936703425657500000000000000E-14 " " relative error = 1.2591022881372674000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44632383971415024 " " Order of pole (three term test) = 22.274622472054514 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5999999999999264 " " y[1] (analytic) = 3.7137775067378183 " " y[1] (numeric) = 3.7137775067378653 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2675357142074986000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4417273278601111 " " Order of pole (three term test) = 22.26574166434988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.609999999999926 " " y[1] (analytic) = 3.7240016741800517 " " y[1] (numeric) = 3.724001674180099 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2759807758254857000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43695413096454694 " " Order of pole (three term test) = 22.25695455685609 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.619999999999926 " " y[1] (analytic) = 3.734053442891531 " " y[1] (numeric) = 3.7340534428915784 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.272545939170079000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43200615824257455 " " Order of pole (three term test) = 22.248264664299008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6299999999999257 " " y[1] (analytic) = 3.7439318077037607 " " y[1] (numeric) = 3.743931807703808 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2691883264588705000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4268853888173103 " " Order of pole (three term test) = 22.239675462519774 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6399999999999255 " " y[1] (analytic) = 3.753635780788491 " " y[1] (numeric) = 3.753635780788539 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 1.2895690125664960000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4215938709282485 " " Order of pole (three term test) = 22.23119038708458 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6499999999999253 " " y[1] (analytic) = 3.7631643917565007 " " y[1] (numeric) = 3.7631643917565496 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.2981046799474438000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41613372111199187 " " Order of pole (three term test) = 22.22281283191048 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.659999999999925 " " y[1] (analytic) = 3.772516687754635 " " y[1] (numeric) = 3.772516687754683 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.2713432075592238000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4105071233556662 " " Order of pole (three term test) = 22.214546147907832 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.669999999999925 " " y[1] (analytic) = 3.7816917335610842 " " y[1] (numeric) = 3.781691733561133 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.2917449788406407000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4047163282233536 " " Order of pole (three term test) = 22.20639364164002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6799999999999247 " " y[1] (analytic) = 3.7906886116789167 " " y[1] (numeric) = 3.7906886116789655 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.2886791316227644000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3987636519558977 " " Order of pole (three term test) = 22.198358574000856 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6899999999999245 " " y[1] (analytic) = 3.7995064224278163 " " y[1] (numeric) = 3.7995064224278656 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2973764698062817000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39265147554443697 " " Order of pole (three term test) = 22.190444158910257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6999999999999242 " " y[1] (analytic) = 3.808144284034057 " " y[1] (numeric) = 3.8081442840341064 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.294433682568843000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3863822437780418 " " Order of pole (three term test) = 22.182653562028744 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.709999999999924 " " y[1] (analytic) = 3.816601332718677 " " y[1] (numeric) = 3.816601332718726 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.2799296762994560000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37995846426582996 " " Order of pole (three term test) = 22.17498989949118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.719999999999924 " " y[1] (analytic) = 3.824876722783854 " " y[1] (numeric) = 3.8248767227839027 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.2771604583363570000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.373382706433957 " " Order of pole (three term test) = 22.167456236660417 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7299999999999236 " " y[1] (analytic) = 3.8329696266974773 " " y[1] (numeric) = 3.8329696266975266 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2860499063184344000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36665760049788015 " " Order of pole (three term test) = 22.16005558690113 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7399999999999234 " " y[1] (analytic) = 3.840879235175901 " " y[1] (numeric) = 3.8408792351759504 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2834015149945072000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3597858364103072 " " Order of pole (three term test) = 22.152790910374545 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.749999999999923 " " y[1] (analytic) = 3.8486047572648685 " " y[1] (numeric) = 3.848604757264918 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.280825270516716000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3527701627852504 " " Order of pole (three term test) = 22.145665112854424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.759999999999923 " " y[1] (analytic) = 3.856145420418608 " " y[1] (numeric) = 3.8561454204186574 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2783206264043280000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3456133857986189 " " Order of pole (three term test) = 22.138681044564755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7699999999999227 " " y[1] (analytic) = 3.8635004705770886 " " y[1] (numeric) = 3.863500470577138 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2758870529138036000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3383183680657853 " " Order of pole (three term test) = 22.131841499039744 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7799999999999225 " " y[1] (analytic) = 3.8706691722414224 " " y[1] (numeric) = 3.8706691722414726 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.2964704158376236000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3308880274965768 " " Order of pole (three term test) = 22.125149212006395 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7899999999999223 " " y[1] (analytic) = 3.8776508085474184 " " y[1] (numeric) = 3.877650808547469 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3055886778487896000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32332533612815095 " " Order of pole (three term test) = 22.118606860290306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.799999999999922 " " y[1] (analytic) = 3.884444681337264 " " y[1] (numeric) = 3.8844446813373144 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.2918727084506020000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3156333189362213 " " Order of pole (three term test) = 22.112217060744925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.809999999999922 " " y[1] (analytic) = 3.891050111229341 " " y[1] (numeric) = 3.8910501112293914 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.289679630910806000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3078150526251047 " " Order of pole (three term test) = 22.10598236920487 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8199999999999217 " " y[1] (analytic) = 3.8974664376861643 " " y[1] (numeric) = 3.8974664376862154 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3103450651669096000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.29987366439708457 " " Order of pole (three term test) = 22.09990527946364 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8299999999999215 " " y[1] (analytic) = 3.9036930190804364 " " y[1] (numeric) = 3.9036930190804875 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3082550006656885000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2918123307015675 " " Order of pole (three term test) = 22.093988222276103 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8399999999999213 " " y[1] (analytic) = 3.909729232759206 " " y[1] (numeric) = 3.909729232759257 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3062351915535458000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28363427596454915 " " Order of pole (three term test) = 22.088233564386233 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.849999999999921 " " y[1] (analytic) = 3.915574475106135 " " y[1] (numeric) = 3.9155744751061867 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3156268299867013000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2753427712988848 " " Order of pole (three term test) = 22.08264360758047 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.859999999999921 " " y[1] (analytic) = 3.92122816160186 " " y[1] (numeric) = 3.921228161601912 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3250551972785946000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2669411331958889 " " Order of pole (three term test) = 22.077220587766984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8699999999999206 " " y[1] (analytic) = 3.9266897268824437 " " y[1] (numeric) = 3.9266897268824956 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3232122007691505000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25843272219878255 " " Order of pole (three term test) = 22.07196667408141 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8799999999999204 " " y[1] (analytic) = 3.931958624795908 " " y[1] (numeric) = 3.93195862479596 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3214390717337288000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24982094155852017 " " Order of pole (three term test) = 22.066883968019173 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.88999999999992 " " y[1] (analytic) = 3.9370343284568534 " " y[1] (numeric) = 3.9370343284569054 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.319735445965054000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24110923587253574 " " Order of pole (three term test) = 22.061974502594925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.89999999999992 " " y[1] (analytic) = 3.9419163302991427 " " y[1] (numeric) = 3.9419163302991946 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.31810097421611980000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2323010897069495 " " Order of pole (three term test) = 22.057240241529374 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9099999999999198 " " y[1] (analytic) = 3.9466041421266604 " " y[1] (numeric) = 3.9466041421267124 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.316535322046743000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22340002620278693 " " Order of pole (three term test) = 22.052683078463833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9199999999999195 " " y[1] (analytic) = 3.95109729516213 " " y[1] (numeric) = 3.951097295162182 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.315038169676995000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2144096056667706 " " Order of pole (three term test) = 22.048304836202757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9299999999999193 " " y[1] (analytic) = 3.9553953400939923 " " y[1] (numeric) = 3.9553953400940447 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.324836641008485000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20533342414724406 " " Order of pole (three term test) = 22.044107265984675 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.939999999999919 " " y[1] (analytic) = 3.9594978471213365 " " y[1] (numeric) = 3.9594978471213884 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3122481576857664000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1961751119958013 " " Order of pole (three term test) = 22.040092046781712 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.949999999999919 " " y[1] (analytic) = 3.9634044059968776 " " y[1] (numeric) = 3.9634044059969296 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3109547305806335000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.18693833241519348 " " Order of pole (three term test) = 22.036260784628016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9599999999999187 " " y[1] (analytic) = 3.9671146260679837 " " y[1] (numeric) = 3.9671146260680357 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.309728668061101200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17762677999409732 " " Order of pole (three term test) = 22.03261501197736 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9699999999999185 " " y[1] (analytic) = 3.9706281363157396 " " y[1] (numeric) = 3.970628136315792 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3197540782786715000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16824417922932908 " " Order of pole (three term test) = 22.029156187090187 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9799999999999183 " " y[1] (analytic) = 3.973944585392049 " " y[1] (numeric) = 3.9739445853921014 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3186526796305997000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15879428303609489 " " Order of pole (three term test) = 22.025885693450352 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.989999999999918 " " y[1] (analytic) = 3.977063641654768 " " y[1] (numeric) = 3.9770636416548197 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.306452253070775000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14928087124687514 " " Order of pole (three term test) = 22.02280483921169 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.999999999999918 " " y[1] (analytic) = 3.9799849932008673 " " y[1] (numeric) = 3.97998499320092 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3278094279862104000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13970774909954184 " " Order of pole (three term test) = 22.01991485667484 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0099999999999176 " " y[1] (analytic) = 3.9827083478976304 " " y[1] (numeric) = 3.982708347897683 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3157510463945807000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1300787457153138 " " Order of pole (three term test) = 22.01721690179426 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0199999999999174 " " y[1] (analytic) = 3.985233433411854 " " y[1] (numeric) = 3.985233433411907 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3260607403595479000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12039771256715967 " " Order of pole (three term test) = 22.014712053715943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.029999999999917 " " y[1] (analytic) = 3.987559997237093 " " y[1] (numeric) = 3.9875599972371454 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3141501770159228000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1106685219392603 " " Order of pole (three term test) = 22.01240131434572 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.039999999999917 " " y[1] (analytic) = 3.9896878067189023 " " y[1] (numeric) = 3.9896878067189547 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3134493048317720000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10089506537814583 " " Order of pole (three term test) = 22.010285607948536 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0499999999999168 " " y[1] (analytic) = 3.9916166490781073 " " y[1] (numeric) = 3.9916166490781597 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3128146154618864000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.1081252136129600E-2 " " Order of pole (three term test) = 22.008365780778725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0599999999999166 " " y[1] (analytic) = 3.99334633143208 " " y[1] (numeric) = 3.9933463314321322 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3122459815178358000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.12310076076594900E-2 " " Order of pole (three term test) = 22.006642600741575 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0699999999999164 " " y[1] (analytic) = 3.9948766808140252 " " y[1] (numeric) = 3.9948766808140777 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3117432889475195000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.1348271759211900E-2 " " Order of pole (three term test) = 22.005116757086107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.079999999999916 " " y[1] (analytic) = 3.9962075441902805 " " y[1] (numeric) = 3.9962075441903333 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3224192034016424000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.14369975533583100E-2 " " Order of pole (three term test) = 22.00378886012945 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.089999999999916 " " y[1] (analytic) = 3.997338788475618 " " y[1] (numeric) = 3.997338788475671 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3220449596245120000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.1501149367632490E-2 " " Order of pole (three term test) = 22.002659441012693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0999999999999157 " " y[1] (analytic) = 3.998270300546552 " " y[1] (numeric) = 3.9982703005466047 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.32173695122447000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.15447014088322740E-2 " " Order of pole (three term test) = 22.0017289514884 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1099999999999155 " " y[1] (analytic) = 3.99900198725265 " " y[1] (numeric) = 3.9990019872527034 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3326001175262905000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.15716361233905900E-2 " " Order of pole (three term test) = 22.000997763739985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1199999999999153 " " y[1] (analytic) = 3.999533775425853 " " y[1] (numeric) = 3.999533775425906 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3324229316286584000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.158594260444906500E-2 " " Order of pole (three term test) = 22.000466170232805 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.129999999999915 " " y[1] (analytic) = 3.9998656118877856 " " y[1] (numeric) = 3.999865611887839 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.332312391286974000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.159161499627453200E-2 " " Order of pole (three term test) = 22.00013438359717 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.139999999999915 " " y[1] (analytic) = 3.9999974634550792 " " y[1] (numeric) = 3.999997463455132 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3211662371033134000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.5926508966542600000E-3 " " Order of pole (three term test) = 22.000002536543313 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1499999999999146 " " y[1] (analytic) = 3.9999293169426853 " " y[1] (numeric) = 3.9999293169427386 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.332291172153508000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.406950242089607000E-3 " " Order of pole (three term test) = 22.000070681808293 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1599999999999144 " " y[1] (analytic) = 3.9996611791651997 " " y[1] (numeric) = 3.999661179165253 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3323804891175864000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.84031887128278170E-2 " " Order of pole (three term test) = 22.000338792134915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.169999999999914 " " y[1] (analytic) = 3.9991930769361765 " " y[1] (numeric) = 3.99919307693623 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.332536443147528000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.83920661534534600E-2 " " Order of pole (three term test) = 22.000806760282615 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.179999999999914 " " y[1] (analytic) = 3.9985250570654483 " " y[1] (numeric) = 3.9985250570655015 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3327590654419460000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.83695871461735600E-2 " " Order of pole (three term test) = 22.001474399070382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.189999999999914 " " y[1] (analytic) = 3.997657186354446 " " y[1] (numeric) = 3.9976571863544987 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3219396638747175000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.83317608156228700E-2 " " Order of pole (three term test) = 22.00234144145161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1999999999999136 " " y[1] (analytic) = 3.9965895515895165 " " y[1] (numeric) = 3.9965895515895693 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.322292802150258000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.8274602425160790E-2 " " Order of pole (three term test) = 22.003407540620895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2099999999999134 " " y[1] (analytic) = 3.995322259533247 " " y[1] (numeric) = 3.9953222595333 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3227122254296267000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.81941349707130700E-2 " " Order of pole (three term test) = 22.00467227015278 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.219999999999913 " " y[1] (analytic) = 3.9938554369137877 " " y[1] (numeric) = 3.9938554369138406 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3231980177278063000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.80863907715199500E-2 " " Order of pole (three term test) = 22.00613512417233 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.229999999999913 " " y[1] (analytic) = 3.992189230412177 " " y[1] (numeric) = 3.9921892304122304 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3348742283066944000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.79474130571562700E-2 " " Order of pole (three term test) = 22.00779551755743 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2399999999999127 " " y[1] (analytic) = 3.9903238066476776 " " y[1] (numeric) = 3.990323806647731 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3354982644072116000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.77732575501862900E-2 " " Order of pole (three term test) = 22.00965278617287 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2499999999999125 " " y[1] (analytic) = 3.988259352161111 " " y[1] (numeric) = 3.9882593521611645 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.3361895623245004000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10755999404382231 " " Order of pole (three term test) = 22.011706187135967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2599999999999123 " " y[1] (analytic) = 3.9859960733962065 " " y[1] (numeric) = 3.985996073396259 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.314665789865132000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11730370797395497 " " Order of pole (three term test) = 22.013954899113713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.269999999999912 " " y[1] (analytic) = 3.983534196678953 " " y[1] (numeric) = 3.983534196679005 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3154782706772053000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12700050198492643 " " Order of pole (three term test) = 22.01639802265129 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.279999999999912 " " y[1] (analytic) = 3.9808739681949703 " " y[1] (numeric) = 3.980873968195023 " " absolute error = 5.28466159721574500000000000000E-14 " " relative error = 1.3275129128521357000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13664649748842161 " " Order of pole (three term test) = 22.019034580531876 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2899999999999117 " " y[1] (analytic) = 3.978015653964892 " " y[1] (numeric) = 3.9780156539649445 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.317303181300398800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14623783621485026 " " Order of pole (three term test) = 22.021863518167464 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2999999999999114 " " y[1] (analytic) = 3.9749595398177577 " " y[1] (numeric) = 3.97495953981781 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.318315978751067000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15577068175660497 " " Order of pole (three term test) = 22.024883704020702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3099999999999112 " " y[1] (analytic) = 3.971705931362436 " " y[1] (numeric) = 3.971705931362488 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.308214617355463000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16524122110257158 " " Order of pole (three term test) = 22.028093930057544 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.319999999999911 " " y[1] (analytic) = 3.9682551539570605 " " y[1] (numeric) = 3.968255153957113 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.320543279835539000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17464566616328417 " " Order of pole (three term test) = 22.031492912230362 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.329999999999911 " " y[1] (analytic) = 3.9646075526764966 " " y[1] (numeric) = 3.964607552676549 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.321758233723047000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1839802552861093 " " Order of pole (three term test) = 22.03507929099161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3399999999999106 " " y[1] (analytic) = 3.9607634922778328 " " y[1] (numeric) = 3.960763492277885 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3230410466182801000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19324125475985732 " " Order of pole (three term test) = 22.03885163183761 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3499999999999104 " " y[1] (analytic) = 3.9567233571639058 " " y[1] (numeric) = 3.9567233571639573 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.301944657043995000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20242496030821713 " " Order of pole (three term test) = 22.042808425882306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.35999999999991 " " y[1] (analytic) = 3.952487551344859 " " y[1] (numeric) = 3.9524875513449107 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3033399263984824000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21152769857141726 " " Order of pole (three term test) = 22.04694809046084 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.36999999999991 " " y[1] (analytic) = 3.9480564983977455 " " y[1] (numeric) = 3.948056498397797 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3048027140319174000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22054582857552021 " " Order of pole (three term test) = 22.051268969762575 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3799999999999097 " " y[1] (analytic) = 3.9434306414241664 " " y[1] (numeric) = 3.943430641424219 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3288563062790998000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2294757431887651 " " Order of pole (three term test) = 22.055769335493416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3899999999999095 " " y[1] (analytic) = 3.9386104430059667 " " y[1] (numeric) = 3.9386104430060183 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.307932050860334800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23831387056437012 " " Order of pole (three term test) = 22.06044738756706 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3999999999999093 " " y[1] (analytic) = 3.9335963851589684 " " y[1] (numeric) = 3.9335963851590203 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3208888880539665000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24705667556922534 " " Order of pole (three term test) = 22.06530125482504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.409999999999909 " " y[1] (analytic) = 3.9283889692847795 " " y[1] (numeric) = 3.9283889692848315 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.32263983935168000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2557006611978979 " " Order of pole (three term test) = 22.0703289957852 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.419999999999909 " " y[1] (analytic) = 3.9229887161206474 " " y[1] (numeric) = 3.9229887161206998 " " absolute error = 5.24025267623073900000000000000E-14 " " relative error = 1.3357807160385368000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26424236997138795 " " Order of pole (three term test) = 22.07552859941816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4299999999999087 " " y[1] (analytic) = 3.9173961656873892 " " y[1] (numeric) = 3.917396165687441 " " absolute error = 5.195843755245733000000000000000E-14 " " relative error = 1.3263513659293158000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2726783853200741 " " Order of pole (three term test) = 22.080897985951825 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4399999999999085 " " y[1] (analytic) = 3.911611877235387 " " y[1] (numeric) = 3.9116118772354387 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3169596053843688000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28100533295029595 " " Order of pole (three term test) = 22.08643500770315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4499999999999083 " " y[1] (analytic) = 3.9056364291886654 " " y[1] (numeric) = 3.905636429188717 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3189744943389048000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.28921988219402495 " " Order of pole (three term test) = 22.09213744993727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.459999999999908 " " y[1] (analytic) = 3.8994704190870504 " " y[1] (numeric) = 3.8994704190871015 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3096716642029008000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2973187473410903 " " Order of pole (three term test) = 22.098003031753322 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.469999999999908 " " y[1] (analytic) = 3.8931144635264125 " " y[1] (numeric) = 3.893114463526464 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.3232168955018390000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.30529868895341633 " " Order of pole (three term test) = 22.10402940699678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4799999999999076 " " y[1] (analytic) = 3.886569198097013 " " y[1] (numeric) = 3.8865691980970642 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3140190365776275000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.313156515160756 " " Order of pole (three term test) = 22.110214165197903 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4899999999999074 " " y[1] (analytic) = 3.8798352773199394 " " y[1] (numeric) = 3.8798352773199904 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.3162996746613126000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32088908293739565 " " Order of pole (three term test) = 22.11655483253587 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.499999999999907 " " y[1] (analytic) = 3.8729133745816577 " " y[1] (numeric) = 3.872913374581709 " " absolute error = 5.1070259132757200000000000000E-14 " " relative error = 1.318652244275246000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.32849329935932453 " " Order of pole (three term test) = 22.12304887282828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.509999999999907 " " y[1] (analytic) = 3.8658041820666744 " " y[1] (numeric) = 3.865804182066725 " " absolute error = 5.06261699229071400000000000000E-14 " " relative error = 1.3095896103004934000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33596612284136196 " " Order of pole (three term test) = 22.129693688545625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5199999999999068 " " y[1] (analytic) = 3.858508410688316 " " y[1] (numeric) = 3.858508410688366 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3005564682468876000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.34330456435375145 " " Order of pole (three term test) = 22.136486621850192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5299999999999065 " " y[1] (analytic) = 3.85102679001764 " " y[1] (numeric) = 3.85102679001769 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3030831372852440000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3505056886177327 " " Order of pole (three term test) = 22.143424955659253 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5399999999999063 " " y[1] (analytic) = 3.8433600682104796 " " y[1] (numeric) = 3.84336006821053 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3056825231683933000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3575666152796134 " " Order of pole (three term test) = 22.150505914731767 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.549999999999906 " " y[1] (analytic) = 3.8355090119326265 " " y[1] (numeric) = 3.8355090119326767 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3083551767688706000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3644845200628739 " " Order of pole (three term test) = 22.157726666778533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.559999999999906 " " y[1] (analytic) = 3.827474406283166 " " y[1] (numeric) = 3.827474406283216 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3111016661712588000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.37125663589783764 " " Order of pole (three term test) = 22.165084323594993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5699999999999057 " " y[1] (analytic) = 3.819257054715967 " " y[1] (numeric) = 3.8192570547160174 " " absolute error = 5.018208071305708000000000000000E-14 " " relative error = 1.3139225769339857000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3778802540284651 " " Order of pole (three term test) = 22.172575942216547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5799999999999055 " " y[1] (analytic) = 3.81085777895934 " " y[1] (numeric) = 3.8108577789593894 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2935119900175862000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38435272509581714 " " Order of pole (three term test) = 22.180198526095612 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5899999999999053 " " y[1] (analytic) = 3.8022774189338593 " " y[1] (numeric) = 3.8022774189339086 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2964309770742277000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3906714601977657 " " Order of pole (three term test) = 22.187949026300274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.599999999999905 " " y[1] (analytic) = 3.793516832668378 " " y[1] (numeric) = 3.7935168326684274 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.2994248995775085000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3968339319245187 " " Order of pole (three term test) = 22.195824342733797 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.609999999999905 " " y[1] (analytic) = 3.7845768962142223 " " y[1] (numeric) = 3.7845768962142716 " " absolute error = 4.92939022933569500000000000000E-14 " " relative error = 1.3024944041344882000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40283767536955034 " " Order of pole (three term test) = 22.203821325374605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6199999999999046 " " y[1] (analytic) = 3.775458503557588 " " y[1] (numeric) = 3.775458503557637 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.2938776320141263000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4086802891155316 " " Order of pole (three term test) = 22.211936775536266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6299999999999044 " " y[1] (analytic) = 3.7661625665301415 " " y[1] (numeric) = 3.7661625665301903 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.297071281989651800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4143594361948642 " " Order of pole (three term test) = 22.22016744714692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.639999999999904 " " y[1] (analytic) = 3.75669001471784 " " y[1] (numeric) = 3.756690014717888 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.2766992878279604000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41987284502443795 " " Order of pole (three term test) = 22.22851004804766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.649999999999904 " " y[1] (analytic) = 3.747041795367969 " " y[1] (numeric) = 3.7470417953680175 " " absolute error = 4.840572387365682500000000000000E-14 " " relative error = 1.2918383759021632000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.42521831031423185 " " Order of pole (three term test) = 22.236961241309366 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6599999999999038 " " y[1] (analytic) = 3.7372188732944256 " " y[1] (numeric) = 3.7372188732944736 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.28335097006314010000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43039369394940175 " " Order of pole (three term test) = 22.24551764656741 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6699999999999036 " " y[1] (analytic) = 3.72722223078123 " " y[1] (numeric) = 3.7272222307812775 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2748782474394335000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4353969258454982 " " Order of pole (three term test) = 22.254175841373772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6799999999999033 " " y[1] (analytic) = 3.717052867484303 " " y[1] (numeric) = 3.7170528674843504 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2783661451152972000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44022600477647156 " " Order of pole (three term test) = 22.262932362565984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.689999999999903 " " y[1] (analytic) = 3.7067118003315 " " y[1] (numeric) = 3.7067118003315476 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2819325594643502000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44487899917513574 " " Order of pole (three term test) = 22.271783707652304 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.699999999999903 " " y[1] (analytic) = 3.6962000634209193 " " y[1] (numeric) = 3.696200063420967 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2855782868522030000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44935404790577077 " " Order of pole (three term test) = 22.280726336212716 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7099999999999027 " " y[1] (analytic) = 3.685518707917492 " " y[1] (numeric) = 3.6855187079175393 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2893041446751075000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4536493610085513 " " Order of pole (three term test) = 22.28975667131504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7199999999999025 " " y[1] (analytic) = 3.674668801947867 " " y[1] (numeric) = 3.6746688019479143 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2931109717634587000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4577632204155056 " " Order of pole (three term test) = 22.298871100945625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7299999999999023 " " y[1] (analytic) = 3.6636514304935996 " " y[1] (numeric) = 3.663651430493647 " " absolute error = 4.7517545453956700000000000000E-14 " " relative error = 1.2969996287980573000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46169398063772193 " " Order of pole (three term test) = 22.30806597945415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.739999999999902 " " y[1] (analytic) = 3.652467695282655 " " y[1] (numeric) = 3.652467695282702 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2888123912746540000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.465440069423521 " " Order of pole (three term test) = 22.31733762901181 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.749999999999902 " " y[1] (analytic) = 3.6411187146792336 " " y[1] (numeric) = 3.6411187146792807 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2928294827171985000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.46899998838733553 " " Order of pole (three term test) = 22.326682341082396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7599999999999016 " " y[1] (analytic) = 3.6296056235719387 " " y[1] (numeric) = 3.629605623571986 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.2969303314496490000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4723723136090447 " " Order of pole (three term test) = 22.336096377905676 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7699999999999014 " " y[1] (analytic) = 3.6179295732602874 " " y[1] (numeric) = 3.6179295732603336 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2765665248366562000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4755556962035239 " " Order of pole (three term test) = 22.345575973992442 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.779999999999901 " " y[1] (analytic) = 3.6060917313395793 " " y[1] (numeric) = 3.6060917313396255 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2807571538744453000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47854886286017995 " " Order of pole (three term test) = 22.355117337630663 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.789999999999901 " " y[1] (analytic) = 3.5940932815841427 " " y[1] (numeric) = 3.594093281584189 " " absolute error = 4.61852778244065100000000000000E-14 " " relative error = 1.2850328081648943000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48135061635225823 " " Order of pole (three term test) = 22.364716652402073 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.799999999999901 " " y[1] (analytic) = 3.5819354238289547 " " y[1] (numeric) = 3.5819354238290004 " " absolute error = 4.57411886145564500000000000000E-14 " " relative error = 1.276996461473357000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48395983601571835 " " Order of pole (three term test) = 22.374370078708775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8099999999999006 " " y[1] (analytic) = 3.569619373849659 " " y[1] (numeric) = 3.5696193738497044 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.2689616079670615000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48637547819748383 " " Order of pole (three term test) = 22.38407375530895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8199999999999004 " " y[1] (analytic) = 3.5571463632409897 " " y[1] (numeric) = 3.557146363241035 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 1.273411177926209000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4885965766728903 " " Order of pole (three term test) = 22.39382380086134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8299999999999 " " y[1] (analytic) = 3.5445176392936144 " " y[1] (numeric) = 3.5445176392936593 " " absolute error = 4.485301019485632400000000000000E-14 " " relative error = 1.265419297047004000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4906222430321618 " " Order of pole (three term test) = 22.403616315477716 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8399999999999 " " y[1] (analytic) = 3.5317344648694036 " " y[1] (numeric) = 3.531734464869448 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.2574252517211373000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49245166703576315 " " Order of pole (three term test) = 22.41344738228281 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8499999999998997 " " y[1] (analytic) = 3.5187981182751464 " " y[1] (numeric) = 3.518798118275191 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.2620479917380067000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49408411693848486 " " Order of pole (three term test) = 22.423313068980967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8599999999998995 " " y[1] (analytic) = 3.505709893134723 " " y[1] (numeric) = 3.505709893134767 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2540921272822120000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4955189397821316 " " Order of pole (three term test) = 22.433209429429056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8699999999998993 " " y[1] (analytic) = 3.49247109825974 " " y[1] (numeric) = 3.492471098259784 " " absolute error = 4.3964831775156200000000000000E-14 " " relative error = 1.2588459729004883000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4967555616566965 " " Order of pole (three term test) = 22.44313250521484 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.879999999999899 " " y[1] (analytic) = 3.479083057518652 " " y[1] (numeric) = 3.4790830575186966 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.276454751174568000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.497793487929918 " " Order of pole (three term test) = 22.45307832724032 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.889999999999899 " " y[1] (analytic) = 3.465547109704379 " " y[1] (numeric) = 3.4655471097044224 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.2558115987930857000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4986323034451255 " " Order of pole (three term test) = 22.463042917309288 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8999999999998987 " " y[1] (analytic) = 3.4518646084004194 " " y[1] (numeric) = 3.451864608400463 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 1.2607893849426927000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.499271672687297 " " Order of pole (three term test) = 22.473022289718575 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9099999999998984 " " y[1] (analytic) = 3.4380369218455034 " " y[1] (numeric) = 3.4380369218455464 " " absolute error = 4.307665335545607400000000000000E-14 " " relative error = 1.2529433026662481000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4997113399172604 " " Order of pole (three term test) = 22.483012452852275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9199999999998982 " " y[1] (analytic) = 3.4240654327967635 " " y[1] (numeric) = 3.4240654327968056 " " absolute error = 4.21884749357559500000000000000E-14 " " relative error = 1.2321164932089677000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49995112927398605 " " Order of pole (three term test) = 22.49300941077834 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.929999999999898 " " y[1] (analytic) = 3.4099515383914607 " " y[1] (numeric) = 3.4099515383915024 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2241929322431812000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.49999094484492834 " " Order of pole (three term test) = 22.50300916484689 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.939999999999898 " " y[1] (analytic) = 3.395696650007274 " " y[1] (numeric) = 3.3956966500073156 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2293320054315354000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4998307707043898 " " Order of pole (three term test) = 22.51300771528962 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9499999999998976 " " y[1] (analytic) = 3.3813021931211633 " " y[1] (numeric) = 3.381302193121205 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 1.2345653639248695000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4994706709198907 " " Order of pole (three term test) = 22.523001062819663 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9599999999998974 " " y[1] (analytic) = 3.3667696071668223 " " y[1] (numeric) = 3.3667696071668636 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.2267039725005278000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4989107895265439 " " Order of pole (three term test) = 22.532985210231264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.969999999999897 " " y[1] (analytic) = 3.3521003453907348 " " y[1] (numeric) = 3.352100345390776 " " absolute error = 4.130029651605582300000000000000E-14 " " relative error = 1.2320722013243218000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4981513504694417 " " Order of pole (three term test) = 22.542956163998568 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.979999999999897 " " y[1] (analytic) = 3.3372958747068555 " " y[1] (numeric) = 3.3372958747068964 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.224230899509158000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4971926575140811 " " Order of pole (three term test) = 22.552909935873007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9899999999998967 " " y[1] (analytic) = 3.322357675549915 " " y[1] (numeric) = 3.3223576755499553 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.2163686767911498000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4960350941248619 " " Order of pole (three term test) = 22.562842544478556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9999999999998965 " " y[1] (analytic) = 3.30728724172738 " " y[1] (numeric) = 3.3072872417274204 " " absolute error = 4.0412118096355700000000000000E-14 " " relative error = 1.221911347356955000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.494679123311706 " " Order of pole (three term test) = 22.572750016904205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.009999999999897 " " y[1] (analytic) = 3.2920860802700744 " " y[1] (numeric) = 3.2920860802701153 " " absolute error = 4.08562073062057600000000000000E-14 " " relative error = 1.2410431048891048000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4931252874448588 " " Order of pole (three term test) = 22.582628390293078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.0199999999998965 " " y[1] (analytic) = 3.276755711281478 " " y[1] (numeric) = 3.2767557112815178 " " absolute error = 3.996802888650563500000000000000E-14 " " relative error = 1.2197439299152053000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4913742080379502 " " Order of pole (three term test) = 22.59247371342753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.029999999999896 " " y[1] (analytic) = 3.261297667785712 " " y[1] (numeric) = 3.2612976677857515 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.2119083782833817000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4894265854993948 " " Order of pole (three term test) = 22.602282048309576 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.039999999999896 " " y[1] (analytic) = 3.245713495574245 " " y[1] (numeric) = 3.2457134955742846 " " absolute error = 3.95239396766555730000000000000E-14 " " relative error = 1.2177273111304865000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4872831988522408 " " Order of pole (three term test) = 22.612049471736047 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.049999999999896 " " y[1] (analytic) = 3.230004753051313 " " y[1] (numeric) = 3.2300047530513516 " " absolute error = 3.86357612569554500000000000000E-14 " " relative error = 1.1961518391097448000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48494490542256846 " " Order of pole (three term test) = 22.621772076867792 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.059999999999896 " " y[1] (analytic) = 3.214173011078076 " " y[1] (numeric) = 3.214173011078114 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1882270156420546000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.48241264049657295 " " Order of pole (three term test) = 22.6314459747924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.0699999999998955 " " y[1] (analytic) = 3.198219852815538 " " y[1] (numeric) = 3.1982198528155763 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 1.1941540545901971000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4796874169464618 " " Order of pole (three term test) = 22.641067296079676 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.079999999999895 " " y[1] (analytic) = 3.182146873566232 " " y[1] (numeric) = 3.18214687356627 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1862300621891662000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4767703248253186 " " Order of pole (three term test) = 22.65063219232939 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.089999999999895 " " y[1] (analytic) = 3.1659556806146885 " " y[1] (numeric) = 3.165955680614726 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.1922966284204715000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47366253093109845 " " Order of pole (three term test) = 22.660136837710585 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.099999999999895 " " y[1] (analytic) = 3.1496478930667102 " " y[1] (numeric) = 3.1496478930667475 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1843702818185195000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.47036527833992203 " " Order of pole (three term test) = 22.66957743049182 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.109999999999895 " " y[1] (analytic) = 3.1332251416874612 " " y[1] (numeric) = 3.133225141687499 " " absolute error = 3.77475828372553200000000000000E-14 " " relative error = 1.2047516897213968000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4668798859088631 " " Order of pole (three term test) = 22.678950194561853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.119999999999894 " " y[1] (analytic) = 3.1166890687383955 " " y[1] (numeric) = 3.1166890687384328 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.1968949357693015000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4632077477484229 " " Order of pole (three term test) = 22.688251380940045 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.129999999999894 " " y[1] (analytic) = 3.1000413278130265 " " y[1] (numeric) = 3.100041327813064 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 1.2033224619531638000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.45935033266490416 " " Order of pole (three term test) = 22.697477269275836 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.139999999999894 " " y[1] (analytic) = 3.083283583671575 " " y[1] (numeric) = 3.0832835836716117 " " absolute error = 3.6859404417555197000000000000E-14 " " relative error = 1.195459432040403100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.455309183572909 " " Order of pole (three term test) = 22.70662416933692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.149999999999894 " " y[1] (analytic) = 3.066417512074489 " " y[1] (numeric) = 3.0664175120745254 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 1.187552414643936900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4510859168781927 " " Order of pole (three term test) = 22.715688422485215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.159999999999894 " " y[1] (analytic) = 3.049444799614874 " " y[1] (numeric) = 3.04944479961491 " " absolute error = 3.59712259978550700000000000000E-14 " " relative error = 1.1795991848220376000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4466822218311239 " " Order of pole (three term test) = 22.724666403140326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.169999999999893 " " y[1] (analytic) = 3.0323671435498323 " " y[1] (numeric) = 3.032367143549868 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 1.171597471749917100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.44209985985100625 " " Order of pole (three term test) = 22.73355452022969 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.179999999999893 " " y[1] (analytic) = 3.0151862516307384 " " y[1] (numeric) = 3.0151862516307735 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1635449571044103000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.43734066382153436 " " Order of pole (three term test) = 22.74234921862498 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.189999999999893 " " y[1] (analytic) = 2.997903841932467 " " y[1] (numeric) = 2.997903841932502 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.1702525974128711000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4324065373576649 " " Order of pole (three term test) = 22.7510469805641 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.199999999999893 " " y[1] (analytic) = 2.9805216426815857 " " y[1] (numeric) = 2.980521642681621 " " absolute error = 3.508304757815494700000000000000E-14 " " relative error = 1.177077430868464000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.427299454044196 " " Order of pole (three term test) = 22.75964432705825 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.2099999999998925 " " y[1] (analytic) = 2.963041392083536 " " y[1] (numeric) = 2.96304139208357 " " absolute error = 3.41948691584548200000000000000E-14 " " relative error = 1.1540462866909143000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4220214566463595 " " Order of pole (three term test) = 22.768137819283446 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.219999999999892 " " y[1] (analytic) = 2.9454648381488093 " " y[1] (numeric) = 2.945464838148843 " " absolute error = 3.37507799486047600000000000000E-14 " " relative error = 1.1458558089532903000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.41657465629274226 " " Order of pole (three term test) = 22.776524059956056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.229999999999892 " " y[1] (analytic) = 2.9277937385181527 " " y[1] (numeric) = 2.9277937385181856 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.122435679008502000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.4109612316308627 " " Order of pole (three term test) = 22.784799694691625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.239999999999892 " " y[1] (analytic) = 2.9100298602868024 " " y[1] (numeric) = 2.9100298602868353 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 1.129287433692031100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.40518342795574114 " " Order of pole (three term test) = 22.7929614133466 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.249999999999892 " " y[1] (analytic) = 2.8921749798277796 " " y[1] (numeric) = 2.892174979827812 " " absolute error = 3.24185123190545700000000000000E-14 " " relative error = 1.1209042518231382000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.39924355631181047 " " Order of pole (three term test) = 22.80100595134233 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.259999999999891 " " y[1] (analytic) = 2.874230882614251 " " y[1] (numeric) = 2.874230882614283 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.1124514492768318000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3931439925685316 " " Order of pole (three term test) = 22.80893009097088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.269999999999891 " " y[1] (analytic) = 2.856199363040983 " " y[1] (numeric) = 2.856199363041015 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 1.1194744849729774000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.38688717647007553 " " Order of pole (three term test) = 22.816730662682048 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.279999999999891 " " y[1] (analytic) = 2.8380822242449097 " " y[1] (numeric) = 2.838082224244941 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 1.0953257246722328000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.380475610659458 " " Order of pole (three term test) = 22.82440454635118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.289999999999890 " " y[1] (analytic) = 2.819881277924811 " " y[1] (numeric) = 2.8198812779248414 " " absolute error = 3.06421554796543200000000000000E-14 " " relative error = 1.0866470060116963000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3739118596775175 " " Order of pole (three term test) = 22.831948672527098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.299999999999890 " " y[1] (analytic) = 2.8015983441601513 " " y[1] (numeric) = 2.8015983441601815 " " absolute error = 3.01980662698042600000000000000E-14 " " relative error = 1.077887068742428000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36719854893713066 " " Order of pole (three term test) = 22.839360023659932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.30999999999989 " " y[1] (analytic) = 2.7832352512290726 " " y[1] (numeric) = 2.7832352512291023 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0690428359160399000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.36033836367308475 " " Order of pole (three term test) = 22.846635635308036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.31999999999989 " " y[1] (analytic) = 2.7647938354255643 " " y[1] (numeric) = 2.764793835425594 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0761734447868655000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3533340478680168 " " Order of pole (three term test) = 22.85377259732376 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.32999999999989 " " y[1] (analytic) = 2.7462759408758393 " " y[1] (numeric) = 2.746275940875869 " " absolute error = 2.975397705995419500000000000000E-14 " " relative error = 1.0834299866627782000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3461884031548596 " " Order of pole (three term test) = 22.860768055017466 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.33999999999989 " " y[1] (analytic) = 2.727683419353922 " " y[1] (numeric) = 2.727683419353951 " " absolute error = 2.88657986402540700000000000000E-14 " " relative error = 1.0582532575239692000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3389042876962244 " " Order of pole (three term test) = 22.867619210299345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3499999999998895 " " y[1] (analytic) = 2.70901813009647 " " y[1] (numeric) = 2.7090181300964984 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.049151687640861000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.33148461504117416 " " Order of pole (three term test) = 22.874323322798624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.359999999999890 " " y[1] (analytic) = 2.6902819396168542 " " y[1] (numeric) = 2.6902819396168827 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 1.0564583961208089000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3239323529598432 " " Order of pole (three term test) = 22.880877710959698 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.369999999999889 " " y[1] (analytic) = 2.671476721518511 " " y[1] (numeric) = 2.6714767215185384 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 1.0306483597226844000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.31625052225636907 " " Order of pole (three term test) = 22.887279753114687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.379999999999889 " " y[1] (analytic) = 2.6526043563075774 " " y[1] (numeric) = 2.6526043563076045 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 1.0212394372511058000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3084421955606097 " " Order of pole (three term test) = 22.893526888532097 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.389999999999889 " " y[1] (analytic) = 2.6336667312048476 " " y[1] (numeric) = 2.6336667312048747 " " absolute error = 2.70894418008538200000000000000E-14 " " relative error = 1.0285827542219424000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.3005104960991338 " " Order of pole (three term test) = 22.899616618441037 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3999999999998884 " " y[1] (analytic) = 2.6146657399570516 " " y[1] (numeric) = 2.6146657399570783 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 1.019072999803081000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2924585964459716 " " Order of pole (three term test) = 22.905546507030763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.409999999999888 " " y[1] (analytic) = 2.5956032826474793 " " y[1] (numeric) = 2.595603282647506 " " absolute error = 2.664535259100375700000000000000E-14 " " relative error = 1.0265572080732563000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2842897172536269 " " Order of pole (three term test) = 22.91131418242489 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.419999999999888 " " y[1] (analytic) = 2.5764812655059774 " " y[1] (numeric) = 2.576481265506003 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 9.9970353039789560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27600712596485977 " " Order of pole (three term test) = 22.91691733763015 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.429999999999888 " " y[1] (analytic) = 2.557301600718324 " " y[1] (numeric) = 2.5573016007183496 " " absolute error = 2.575717417130363000000000000000E-14 " " relative error = 1.007201268871402000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2676141355057526 " " Order of pole (three term test) = 22.922353731459204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.439999999999888 " " y[1] (analytic) = 2.5380662062350154 " " y[1] (numeric) = 2.5380662062350403 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 9.7984030875594630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2591141029605842 " " Order of pole (three term test) = 22.927621189426965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.449999999999887 " " y[1] (analytic) = 2.5187770055794703 " " y[1] (numeric) = 2.5187770055794947 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.6971293955950040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25051042822904 " " Order of pole (three term test) = 22.932717604620496 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.459999999999887 " " y[1] (analytic) = 2.4994359276556795 " " y[1] (numeric) = 2.499435927655704 " " absolute error = 2.442490654175344400000000000000E-14 " " relative error = 9.7721675004738120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24180655266629875 " " Order of pole (three term test) = 22.937640938541673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.469999999999887 " " y[1] (analytic) = 2.480044906555319 " " y[1] (numeric) = 2.4800449065553427 " " absolute error = 2.35367281220533200000000000000E-14 " " relative error = 9.490444330197580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23300595770653532 " " Order of pole (three term test) = 22.94238922192257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.479999999999887 " " y[1] (analytic) = 2.460605881364339 " " y[1] (numeric) = 2.460605881364362 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 9.3849401430346160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22411216347039414 " " Order of pole (three term test) = 22.946960555513144 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4899999999998865 " " y[1] (analytic) = 2.4411207959690593 " " y[1] (numeric) = 2.441120795969082 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 9.2779307520348790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21512872735698702 " " Order of pole (three term test) = 22.95135311084091 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.499999999999886 " " y[1] (analytic) = 2.4215915988617818 " " y[1] (numeric) = 2.4215915988618044 " " absolute error = 2.264854970235319300000000000000E-14 " " relative error = 9.3527536653986850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20605924262098183 " " Order of pole (three term test) = 22.95556513094229 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.509999999999886 " " y[1] (analytic) = 2.4020202429459436 " " y[1] (numeric) = 2.402020242945966 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 9.2440771711692980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19690733693534812 " " Order of pole (three term test) = 22.95959493106542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.519999999999886 " " y[1] (analytic) = 2.3824086853408266 " " y[1] (numeric) = 2.3824086853408484 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 9.1337692884292180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1876766709403368 " " Order of pole (three term test) = 22.96344089934398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.529999999999886 " " y[1] (analytic) = 2.362758887185848 " " y[1] (numeric) = 2.3627588871858696 " " absolute error = 2.176037128265306800000000000000E-14 " " relative error = 9.2097299477606240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1783709367792714 " " Order of pole (three term test) = 22.96710149744192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.5399999999998855 " " y[1] (analytic) = 2.343072813444449 " " y[1] (numeric) = 2.3430728134444703 " " absolute error = 2.131628207280300600000000000000E-14 " " relative error = 9.0975756069086340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1689938566217417 " " Order of pole (three term test) = 22.970575261168833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.549999999999885 " " y[1] (analytic) = 2.3233524327075994 " " y[1] (numeric) = 2.32335243270762 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.7925117883627670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15954918117478473 " " Order of pole (three term test) = 22.97386080106552 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.559999999999885 " " y[1] (analytic) = 2.3035997169969376 " " y[1] (numeric) = 2.303599716996958 " " absolute error = 2.04281036531028800000000000000E-14 " " relative error = 8.8679050888813940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15004068818265182 " " Order of pole (three term test) = 22.97695680295985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.569999999999885 " " y[1] (analytic) = 2.283816641567576 " " y[1] (numeric) = 2.2838166415675953 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 8.5558204970390520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.14047218091576172 " " Order of pole (three term test) = 22.979862028492317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.579999999999885 " " y[1] (analytic) = 2.2640051847105696 " " y[1] (numeric) = 2.264005184710589 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 8.6306892605021750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13084748664944282 " " Order of pole (three term test) = 22.982575315611484 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.589999999999884 " " y[1] (analytic) = 2.244167327555096 " " y[1] (numeric) = 2.244167327555115 " " absolute error = 1.909583602355269200000000000000E-14 " " relative error = 8.509096353504361000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.12117045513307395 " " Order of pole (three term test) = 22.985095579038653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.599999999999884 " " y[1] (analytic) = 2.2243050538703395 " " y[1] (numeric) = 2.2243050538703577 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 8.1857736069838280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11144495705023645 " " Order of pole (three term test) = 22.987421810702063 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.609999999999884 " " y[1] (analytic) = 2.2044203498671155 " " y[1] (numeric) = 2.2044203498671338 " " absolute error = 1.820765760385256700000000000000E-14 " " relative error = 8.2596123760834180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10167488247049164 " " Order of pole (three term test) = 22.98955308014005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.619999999999884 " " y[1] (analytic) = 2.184515203999255 " " y[1] (numeric) = 2.184515203999273 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 8.1315837772528320000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.18641392934058800E-2 " " Order of pole (three term test) = 22.991488534873277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.6299999999998835 " " y[1] (analytic) = 2.1645916067647564 " " y[1] (numeric) = 2.164591606764774 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 8.2064294892801060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.20166516854416100E-2 " " Order of pole (three term test) = 22.99322740074565 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.639999999999883 " " y[1] (analytic) = 2.144651550506741 " " y[1] (numeric) = 2.144651550506758 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.8685929051341890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.21363585103437800E-2 " " Order of pole (three term test) = 22.994768982234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.649999999999883 " " y[1] (analytic) = 2.124697029214217 " " y[1] (numeric) = 2.124697029214234 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 7.9424923846876440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.22272117536471800E-2 " " Order of pole (three term test) = 22.996112662726283 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.659999999999883 " " y[1] (analytic) = 2.1047300383226863 " " y[1] (numeric) = 2.1047300383227023 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 7.5958489989257130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.22931749419342300E-2 " " Order of pole (three term test) = 22.997257904768226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.669999999999883 " " y[1] (analytic) = 2.0847525745145976 " " y[1] (numeric) = 2.084752574514613 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 7.4556196906825590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.23382215574775200E-2 " " Order of pole (three term test) = 22.998204250278285 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.6799999999998825 " " y[1] (analytic) = 2.0647666355196836 " " y[1] (numeric) = 2.064766635519699 " " absolute error = 1.55431223447521920000000000000E-14 " " relative error = 7.5277864710556630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.23663334488999300E-2 " " Order of pole (three term test) = 22.99895132073086 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.689999999999882 " " y[1] (analytic) = 2.0447742199151904 " " y[1] (numeric) = 2.0447742199152055 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 7.384205545944520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.238149923848815000E-2 " " Order of pole (three term test) = 22.999498817307753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.699999999999882 " " y[1] (analytic) = 2.024777326926017 " " y[1] (numeric) = 2.024777326926032 " " absolute error = 1.465494392505206600000000000000E-14 " " relative error = 7.2378052293290720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.238771272679697600E-2 " " Order of pole (three term test) = 22.999846521017595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.709999999999882 " " y[1] (analytic) = 2.0047779562247996 " " y[1] (numeric) = 2.0047779562248134 " " absolute error = 1.376676550535194000000000000000E-14 " " relative error = 6.8669776932684150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.388971295182382200E-3 " " Order of pole (three term test) = 22.99999429278358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.719999999999882 " " y[1] (analytic) = 1.9847781077319406 " " y[1] (numeric) = 1.984778107731954 " " absolute error = 1.332267629550187800000000000000E-14 " " relative error = 6.712426060929330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.610725693097753000E-3 " " Order of pole (three term test) = 22.999942073498946 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.729999999999881 " " y[1] (analytic) = 1.9647797814156234 " " y[1] (numeric) = 1.9647797814156365 " " absolute error = 1.310063169057684700000000000000E-14 " " relative error = 6.667735394313680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 1.760737849257564800E-2 " " Order of pole (three term test) = 22.999689884050717 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.739999999999881 " " y[1] (analytic) = 1.9447849770918149 " " y[1] (numeric) = 1.9447849770918275 " " absolute error = 1.265654248072678500000000000000E-14 " " relative error = 6.5079392476864340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 2.75969885754184200E-2 " " Order of pole (three term test) = 22.99923782531131 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.749999999999881 " " y[1] (analytic) = 1.9247956942242848 " " y[1] (numeric) = 1.924795694224297 " " absolute error = 1.221245327087672200000000000000E-14 " " relative error = 6.344804961649960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 3.75755602307859870E-2 " " Order of pole (three term test) = 22.998586078098196 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.759999999999880 " " y[1] (analytic) = 1.9048139317246622 " " y[1] (numeric) = 1.904813931724674 " " absolute error = 1.17683640610266600000000000000E-14 " " relative error = 6.1782223791125430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 4.75391021630620300E-2 " " Order of pole (three term test) = 22.99773490310157 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.769999999999880 " " y[1] (analytic) = 1.8848416877525458 " " y[1] (numeric) = 1.884841687752557 " " absolute error = 1.110223024625156500000000000000E-14 " " relative error = 5.8902720150941070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 5.74836290883190200E-2 " " Order of pole (three term test) = 22.99668464078008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.77999999999988 " " y[1] (analytic) = 1.864880959515689 " " y[1] (numeric) = 1.8648809595156997 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 5.7151857237951690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 6.74051633283789300E-2 " " Order of pole (three term test) = 22.99543571122465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.78999999999988 " " y[1] (analytic) = 1.844933743070282 " " y[1] (numeric) = 1.8449337430702921 " " absolute error = 1.02140518265514400000000000000E-14 " " relative error = 5.5362702671118860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 7.72997364018310300E-2 " " Order of pole (three term test) = 22.993988613990457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.79999999999988 " " y[1] (analytic) = 1.8250020331213461 " " y[1] (numeric) = 1.8250020331213561 " " absolute error = 9.992007221626409000000000000000E-15 " " relative error = 5.4750663507682960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 8.71633906113717700E-2 " " Order of pole (three term test) = 22.99234392789709 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.80999999999988 " " y[1] (analytic) = 1.8050878228232672 " " y[1] (numeric) = 1.8050878228232767 " " absolute error = 9.547918011776346000000000000000E-15 " " relative error = 5.2894479099874610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 9.69921806268309900E-2 " " Order of pole (three term test) = 22.99050231079706 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.8199999999998795 " " y[1] (analytic) = 1.7851931035804798 " " y[1] (numeric) = 1.7851931035804889 " " absolute error = 9.103828801926284000000000000000E-15 " " relative error = 5.0996325179988390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.10678217506325133 " " Order of pole (three term test) = 22.98846449931265 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.829999999999880 " " y[1] (analytic) = 1.7653198648483288 " " y[1] (numeric) = 1.7653198648483377 " " absolute error = 8.881784197001252000000000000000E-15 " " relative error = 5.0312605516192670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.11652945805338971 " " Order of pole (three term test) = 22.986231308541292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.839999999999879 " " y[1] (analytic) = 1.7454700939341272 " " y[1] (numeric) = 1.7454700939341357 " " absolute error = 8.43769498715119000000000000000E-15 " " relative error = 4.8340530247260843000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1262301308140122 " " Order of pole (three term test) = 22.98380363172953 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.849999999999879 " " y[1] (analytic) = 1.7256457757984247 " " y[1] (numeric) = 1.7256457757984327 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 4.6322402253165970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.13588031320535493 " " Order of pole (three term test) = 22.981182439915685 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.859999999999879 " " y[1] (analytic) = 1.7058488928565145 " " y[1] (numeric) = 1.705848892856522 " " absolute error = 7.549516567451064000000000000000E-15 " " relative error = 4.42566548483030450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.145476145283129 " " Order of pole (three term test) = 22.978368781541562 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.869999999999878 " " y[1] (analytic) = 1.6860814247801934 " " y[1] (numeric) = 1.6860814247802007 " " absolute error = 7.327471962526033000000000000000E-15 " " relative error = 4.34585889793625060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.15501378884244582 " " Order of pole (three term test) = 22.975363782032993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.879999999999878 " " y[1] (analytic) = 1.6663453482997967 " " y[1] (numeric) = 1.6663453482998034 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 3.99757358494001600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.16448942895304863 " " Order of pole (three term test) = 22.972168643349704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.889999999999878 " " y[1] (analytic) = 1.6466426370065248 " " y[1] (numeric) = 1.6466426370065315 " " absolute error = 6.661338147750939000000000000000E-15 " " relative error = 4.04540608754110850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.17389927548523343 " " Order of pole (three term test) = 22.968784643504573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.899999999999878 " " y[1] (analytic) = 1.6269752611550894 " " y[1] (numeric) = 1.6269752611550954 " " absolute error = 5.995204332975845000000000000000E-15 " " relative error = 3.6848773771271010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.1832395646258501 " " Order of pole (three term test) = 22.965213136052416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.909999999999878 " " y[1] (analytic) = 1.6073451874666853 " " y[1] (numeric) = 1.6073451874666909 " " absolute error = 5.551115123125783000000000000000E-15 " " relative error = 3.4535923996978020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.19250656038377809 " " Order of pole (three term test) = 22.961455549548607 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.919999999999877 " " y[1] (analytic) = 1.5877543789323232 " " y[1] (numeric) = 1.5877543789323285 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 3.35635699634111940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.20169655608427273 " " Order of pole (three term test) = 22.95751338697763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.929999999999877 " " y[1] (analytic) = 1.568204794616531 " " y[1] (numeric) = 1.568204794616536 " " absolute error = 5.10702591327572000000000000000E-15 " " relative error = 3.2566064909427390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21080587585158486 " " Order of pole (three term test) = 22.95338822515196 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.939999999999877 " " y[1] (analytic) = 1.5486983894614492 " " y[1] (numeric) = 1.5486983894614537 " " absolute error = 4.440892098500626000000000000000E-15 " " relative error = 2.8674996556591764000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.21983087607926413 " " Order of pole (three term test) = 22.949081714081323 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.949999999999877 " " y[1] (analytic) = 1.5292371140913374 " " y[1] (numeric) = 1.5292371140913417 " " absolute error = 4.218847493575595000000000000000E-15 " " relative error = 2.75879224660487400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.22876794688755092 " " Order of pole (three term test) = 22.94459557631274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9599999999998765 " " y[1] (analytic) = 1.5098229146175157 " " y[1] (numeric) = 1.5098229146175195 " " absolute error = 3.774758283725532000000000000000E-15 " " relative error = 2.5001331263287880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.23761351356728125 " " Order of pole (three term test) = 22.93993160624148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.969999999999876 " " y[1] (analytic) = 1.490457732443753 " " y[1] (numeric) = 1.490457732443756 " " absolute error = 3.1086244689504383000000000000000E-15 " " relative error = 2.08568441847293530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2463640380097228 " " Order of pole (three term test) = 22.93509166939341 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.979999999999876 " " y[1] (analytic) = 1.4711435040721286 " " y[1] (numeric) = 1.471143504072131 " " absolute error = 2.4424906541753444000000000000000E-15 " " relative error = 1.66026675671987450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25501602012177016 " " Order of pole (three term test) = 22.930077701678723 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.989999999999876 " " y[1] (analytic) = 1.4518821609093844 " " y[1] (numeric) = 1.4518821609093866 " " absolute error = 2.220446049250313000000000000000E-15 " " relative error = 1.52935693338882240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.26356599922593726 " " Order of pole (three term test) = 22.924891708617658 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.999999999999876 " " y[1] (analytic) = 1.432675629073786 " " y[1] (numeric) = 1.4326756290737879 " " absolute error = 1.7763568394002505000000000000000E-15 " " relative error = 1.23988766427795770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.27201055544458075 " " Order of pole (three term test) = 22.919535764538292 " " "NO COMPLEX POLE (six term test) for Equation 1" "Finished!" "diff ( y , x , 1 ) = sin ( x ) + sin ( x ) ; " Iterations = 1001 "Total Elapsed Time "= 30 Seconds "Elapsed Time(since restart) "= 30 Seconds "Time to Timeout "= 9 Minutes 29 Seconds Percent Done = 100.19999999999875 "%" (%o226) true (%o226) diffeq.max