(%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,MAX_TERMS) (%o161) array_tmp1 (%i162) array(array_tmp2,MAX_TERMS) (%o162) array_tmp2 (%i163) array(array_tmp3_g,MAX_TERMS) (%o163) array_tmp3_g (%i164) array(array_tmp3,MAX_TERMS) (%o164) array_tmp3 (%i165) array(array_tmp4,MAX_TERMS) (%o165) array_tmp4 (%i166) array(array_m1,MAX_TERMS) (%o166) array_m1 (%i167) array(array_y_higher,2,MAX_TERMS) (%o167) array_y_higher (%i168) array(array_y_higher_work,2,MAX_TERMS) (%o168) array_y_higher_work (%i169) array(array_y_higher_work2,2,MAX_TERMS) (%o169) array_y_higher_work2 (%i170) array(array_y_set_initial,2,MAX_TERMS) (%o170) array_y_set_initial (%i171) array(array_given_rad_poles,2,3) (%o171) array_given_rad_poles (%i172) array(array_given_ord_poles,2,3) (%o172) array_given_ord_poles (%i173) array(array_rad_test_poles,2,3) (%o173) array_rad_test_poles (%i174) array(array_ord_test_poles,2,3) (%o174) array_ord_test_poles (%i175) array(array_fact_2,MAX_TERMS,MAX_TERMS) (%o175) array_fact_2 (%i176) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%o176) omniout_str(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a~%", string(str)) (%i177) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%o177) omniout_str_noeol(iolevel, str) := if glob_iolevel >= iolevel then printf(true, "~a", string(str)) (%i178) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%o178) omniout_labstr(iolevel, label, str) := if glob_iolevel >= iolevel then printf(true, "~a = ~a~%", string(label), string(str)) (%i179) 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)) (%o179) 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)) (%i180) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%o180) omniout_int(iolevel, prelabel, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (printf(true, "~a = ~d ~a~%", prelabel, value, postlabel), newline()) (%i181) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%o181) omniout_float_arr(iolevel, prelabel, elemnt, prelen, value, vallen, postlabel) := if glob_iolevel >= iolevel then (sprint(prelabel, "[", elemnt, "]=", value, postlabel), newline()) (%i182) 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) (%o182) 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) (%i183) 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) (%o183) 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) (%i184) 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) (%o184) 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 (%i185) 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) (%o185) 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) (%i186) 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) (%o186) 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 (%i187) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%o187) logditto(file) := (printf(file, ""), printf(file, "ditto"), printf(file, ""), 0) (%i188) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%o188) logitem_integer(file, n) := (printf(file, ""), printf(file, "~d", n), printf(file, ""), 0) (%i189) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%o189) logitem_str(file, str) := (printf(file, ""), printf(file, str), printf(file, ""), 0) (%i190) 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) (%o190) 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) (%i191) log_revs(file,revs):=printf(file,revs) (%o191) log_revs(file, revs) := printf(file, revs) (%i192) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%o192) logitem_float(file, x) := (printf(file, ""), printf(file, "~g", x), printf(file, ""), 0) (%i193) 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) (%o193) 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) (%i194) logstart(file):=(printf(file,""),0) (%o194) logstart(file) := (printf(file, ""), 0) (%i195) logend(file):=(printf(file,"~%"),0) (%o195) logend(file) := (printf(file, "~%"), 0) (%i196) 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) (%o196) 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) (%i197) 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) (%o197) 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 (%i198) 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) (%o198) 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) (%i199) 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) (%o199) comp_rad_from_ratio(term1, term2, last_no) := !term1 glob_h! (if term2 > 0.0 then ret : !------------! else ret : glob_larger_float, ret) ! term2 ! (%i200) 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) (%o200) 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) (%i201) 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) (%o201) 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 ! (%i202) 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) (%o202) 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) (%i203) 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) (%o203) 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) (%i204) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%o204) comp_ord_from_six_terms(term1, term2, term3, term4, term5, term6, last_no) := glob_six_term_ord_save (%i205) factorial_2(nnn):=nnn! (%o205) factorial_2(nnn) := nnn! (%i206) 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) (%o206) 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 (%i207) 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) (%o207) 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) (%i208) log10(x):=log(x)/glob_log_10 log(x) (%o208) log10(x) := ----------- glob_log_10 (%i209) expt(x,y):=(if x <= 0.0 and y < 0.0 then print("expt error x = ",x,"y = ",y),x^y) (%o209) expt(x, y) := (if (x <= 0.0) and (y < 0.0) y then print("expt error x = ", x, "y = ", y), x ) (%i210) 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) (%o210) 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) (%i211) exact_soln_y(x):=block(cosh(3.0+2.0*x)/2.0) cosh(3.0 + 2.0 x) (%o211) exact_soln_y(x) := block(-----------------) 2.0 (%i212) 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) (%o212) 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) (%i213) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0 else ret:-1.0,ret) (%o213) my_check_sign(x0, xf) := block([ret], if xf > x0 then ret : 1.0 else ret : - 1.0, ret) (%i214) 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) (%o214) 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) (%i215) 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) (%o215) 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) (%i216) 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)) (%o216) 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)) (%i217) 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) (%o217) 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) (%i218) 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) (%o218) 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 (%i219) 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) (%o219) 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) (%i220) 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) (%o220) 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) (%i221) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]), array_tmp1[1]:array_const_2D0[1]*array_x[1], array_tmp2[1]:array_const_3D0[1]+array_tmp1[1], array_tmp3[1]:sinh(array_tmp2[1]), array_tmp3_g[1]:cosh(array_tmp2[1]), array_tmp4[1]:array_tmp3[1]+array_const_0D0[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_const_2D0[1]*array_x[2], array_tmp2[2]:array_tmp1[2], array_tmp3[2]:array_tmp3_g[1]*array_tmp2[2]/1, array_tmp3_g[2]:array_tmp3[1]*array_tmp2[2]/1, array_tmp4[2]:array_tmp3[2], if not array_y_set_initial[1,3] then (if 2 <= MAX_TERMS then ( temporary :array_tmp4[2]*expt(glob_h,1) *factorial_3(1,2), if 3 <= MAX_TERMS then (array_y[3]:temporary, array_y_higher[1,3]:temporary), temporary:temporary*2.0/glob_h, array_y_higher[2,2]:temporary,0)),kkk:3, array_tmp3[3]:array_tmp3_g[2]*array_tmp2[2]/2, array_tmp3_g[3]:array_tmp3[2]*array_tmp2[2]/2, array_tmp4[3]:array_tmp3[3], if not array_y_set_initial[1,4] then (if 3 <= MAX_TERMS then ( temporary :array_tmp4[3]*expt(glob_h,1) *factorial_3(2,3), if 4 <= MAX_TERMS then (array_y[4]:temporary, array_y_higher[1,4]:temporary), temporary:temporary*3.0/glob_h, array_y_higher[2,3]:temporary,0)),kkk:4, array_tmp3[4]:array_tmp3_g[3]*array_tmp2[2]/3, array_tmp3_g[4]:array_tmp3[3]*array_tmp2[2]/3, array_tmp4[4]:array_tmp3[4], if not array_y_set_initial[1,5] then (if 4 <= MAX_TERMS then ( temporary :array_tmp4[4]*expt(glob_h,1) *factorial_3(3,4), if 5 <= MAX_TERMS then (array_y[5]:temporary, array_y_higher[1,5]:temporary), temporary:temporary*4.0/glob_h, array_y_higher[2,4]:temporary,0)),kkk:5, array_tmp3[5]:array_tmp3_g[4]*array_tmp2[2]/4, array_tmp3_g[5]:array_tmp3[4]*array_tmp2[2]/4, array_tmp4[5]:array_tmp3[5], if not array_y_set_initial[1,6] then (if 5 <= MAX_TERMS then ( temporary :array_tmp4[5]*expt(glob_h,1) *factorial_3(4,5), if 6 <= MAX_TERMS then (array_y[6]:temporary, array_y_higher[1,6]:temporary), temporary:temporary*5.0/glob_h, array_y_higher[2,5]:temporary,0)),kkk:6, while kkk <= MAX_TERMS do (array_tmp3[kkk] :array_tmp3_g[kkk-1]*array_tmp2[2]/(kkk-1), array_tmp3_g[kkk] :(-array_tmp3[kkk-1]*array_tmp2[2])/(kkk-1), array_tmp4[kkk]:array_tmp3[kkk],order_d:1, if order_d+kkk <= MAX_TERMS then (if not array_y_set_initial[1,order_d+kkk] then ( temporary :array_tmp4[kkk]*expt(glob_h,order_d) *factorial_3(kkk-1, -1+order_d +kkk), array_y[order_d+kkk]:temporary, array_y_higher[1,order_d+kkk]:temporary, term:-1+order_d+kkk,adj2:-1+order_d+kkk, adj3:2, while term >= 1 and term <= MAX_TERMS and adj3 < 1+order_d do ( if adj3 <= 1+order_d then ( if adj2 > 0 then temporary :temporary*adj2/glob_h else temporary:temporary, array_y_higher[adj3,term] :temporary),term:term-1, adj2:adj2-1,adj3:1+adj3))), kkk:1+kkk)),0) (%o221) atomall() := (block(mode_declare([[kkk, order_d], fixnum, [adj2, adj3, temporary, term, temp, temp2], convfloat]), array_tmp1 : array_const_2D0 array_x , 1 1 1 array_tmp2 : array_const_3D0 + array_tmp1 , array_tmp3 : sinh(array_tmp2 ), 1 1 1 1 1 array_tmp3_g : cosh(array_tmp2 ), array_tmp4 : 1 1 1 array_tmp3 + array_const_0D0 , if not array_y_set_initial 1 1 1, 2 then (if 1 <= MAX_TERMS 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 : array_const_2D0 array_x , array_tmp2 : array_tmp1 , 2 1 2 2 2 array_tmp3_g array_tmp2 1 2 array_tmp3 : -------------------------, 2 1 array_tmp3 array_tmp2 1 2 array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 , 2 1 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_tmp3_g array_tmp2 2 2 array_tmp3 : -------------------------, 3 2 array_tmp3 array_tmp2 2 2 array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 , 3 2 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_tmp3_g array_tmp2 3 2 array_tmp3 : -------------------------, 4 3 array_tmp3 array_tmp2 3 2 array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 , 4 3 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_tmp3_g array_tmp2 4 2 array_tmp3 : -------------------------, 5 4 array_tmp3 array_tmp2 4 2 array_tmp3_g : -----------------------, array_tmp4 : array_tmp3 , 5 4 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_tmp3_g array_tmp2 kkk - 1 2 while kkk <= MAX_TERMS do (array_tmp3 : -------------------------------, kkk kkk - 1 - array_tmp3 array_tmp2 kkk - 1 2 array_tmp3_g : -------------------------------, kkk kkk - 1 array_tmp4 : array_tmp3 , order_d : 1, kkk kkk if order_d + kkk <= MAX_TERMS then (if not array_y_set_initial 1, order_d + kkk then (temporary : array_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) (%i222) exact_soln_y(x):=block(cosh(3.0+2.0*x)/2.0) cosh(3.0 + 2.0 x) (%o222) exact_soln_y(x) := block(-----------------) 2.0 (%i223) main_prog():=block( mode_declare([[d1,d2,d3,d4,est_err_2],convfloat, [niii,done_once,term,ord,order_diff,term_no, html_log_file,iiif,jjjf,rows,r_order, sub_iter,calc_term,iii],fixnum,[temp_sum], convfloat,[current_iter],fixnum, [x_start,x_end],convfloat,[it,opt_iter], fixnum,[tmp],convfloat,[subiter],fixnum, [est_needed_step_err,estimated_step_error, min_value,est_answer,best_h,found_h], convfloat,[repeat_it],fixnum]),Digits:32, max_terms:30,glob_html_log:true,term:1, while term <= MAX_TERMS do (array_y_init[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_norms[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_fact_1[term]:0.0,term:1+term),term:1, while term <= 2 do (array_1st_rel_error[term]:0.0,term:1+term),term:1, while term <= 2 do (array_last_rel_error[term]:0.0,term:1+term),term:1, while term <= 2 do (array_type_pole[term]:0,term:1+term), term:1, while term <= 2 do (array_type_real_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_type_complex_pole[term]:0,term:1+term),term:1, while term <= MAX_TERMS do (array_y[term]:0.0,term:1+term), term:1, while term <= MAX_TERMS do (array_x[term]:0.0,term:1+term), term:1, while term <= MAX_TERMS do (array_tmp0[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp1[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), 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_const_2D0), array_const_2D0[1]:2.0,zero_ats_ar(array_const_3D0), array_const_3D0[1]:3.0,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/lin_sinhpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; "), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"Digits:32,"), omniout_str(ALWAYS,"max_terms:30,"),omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"x_start:0.0,"), omniout_str(ALWAYS,"x_end:10.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_max_iter: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," (cosh(2.0*x+3.0)/2.0) "), omniout_str(ALWAYS,"));"),omniout_str(ALWAYS,""), omniout_str(ALWAYS,"/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:0.0,glob_smallish_float:0.0, glob_large_float:1.0E+100,glob_larger_float:1.1E+100, glob_almost_1:0.99,x_start:0.0,x_end:10.0, array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_max_iter: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 ) = sinh ( 2.0 * x + 3.0 ) ; "), omniout_int(INFO, "Iterations ",32, glob_iter,4," "), prog_report(x_start,x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2014-01-08T22:36:48-06:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "lin_sinh"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; "), logitem_float(html_log_file,x_start), logitem_float(html_log_file,x_end), logitem_float(html_log_file,array_x[1]), logitem_float(html_log_file,glob_h), logitem_str(html_log_file,"16"), logitem_good_digits(html_log_file, array_last_rel_error[ 1]), logitem_integer(html_log_file, MAX_TERMS), if glob_least_given_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_given_sing), 0) else ( logitem_str(html_log_file, "NOT GIVEN"),0), if glob_least_ratio_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_ratio_sing), 0) else ( logitem_str(html_log_file,"NONE"),0), if glob_least_3_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_3_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), if glob_least_6_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_6_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if glob_percent_done < 100.0 then ( logitem_time(html_log_file, glob_total_exp_sec),0) else ( logitem_str(html_log_file,"Done"), 0), log_revs(html_log_file, " 225 "), logitem_str(html_log_file, "lin_sinh diffeq.max"), logitem_str(html_log_file, "lin_sinh 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))) (%o223) main_prog() := block(mode_declare([[d1, d2, d3, d4, est_err_2], convfloat, [niii, done_once, term, ord, order_diff, term_no, html_log_file, iiif, jjjf, rows, r_order, sub_iter, calc_term, iii], fixnum, [temp_sum], convfloat, [current_iter], fixnum, [x_start, x_end], convfloat, [it, opt_iter], fixnum, [tmp], convfloat, [subiter], fixnum, [est_needed_step_err, estimated_step_error, min_value, est_answer, best_h, found_h], convfloat, [repeat_it], fixnum]), Digits : 32, max_terms : 30, glob_html_log : true, term : 1, while term <= MAX_TERMS do (array_y_init : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_norms : 0.0, term : 1 + term), term term : 1, while term <= MAX_TERMS do (array_fact_1 : 0.0, term term : 1 + term), term : 1, while term <= 2 do (array_1st_rel_error : 0.0, term : 1 + term), term : 1, term while term <= 2 do (array_last_rel_error : 0.0, term : 1 + term), term term : 1, while term <= 2 do (array_type_pole : 0, term : 1 + term), term term : 1, while term <= 2 do (array_type_real_pole : 0, term : 1 + term), term term : 1, while term <= 2 do (array_type_complex_pole : 0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_y : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_x : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp0 : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp1 : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp2 : 0.0, term term : 1 + term), term : 1, while term <= MAX_TERMS do (array_tmp3_g : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_tmp3 : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_tmp4 : 0.0, term : 1 + term), term : 1, term while term <= MAX_TERMS do (array_m1 : 0.0, term : 1 + term), ord : 1, term while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_higher : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_higher_work : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_higher_work2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= MAX_TERMS do (array_y_set_initial : 0.0, ord, term term : 1 + term), ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_rad_poles : 0.0, term : 1 + term), ord : 1 + ord), ord, term ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_given_ord_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_rad_test_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= 2 do (term : 1, while term <= 3 do (array_ord_test_poles : 0.0, term : 1 + term), ord, term ord : 1 + ord), ord : 1, while ord <= MAX_TERMS do (term : 1, while term <= MAX_TERMS do (array_fact_2 : 0.0, term : 1 + term), ord, term ord : 1 + ord), zero_ats_ar(array_y), zero_ats_ar(array_x), zero_ats_ar(array_tmp0), zero_ats_ar(array_tmp1), 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 : 0.0, 1 zero_ats_ar(array_const_2D0), array_const_2D0 : 2.0, 1 zero_ats_ar(array_const_3D0), array_const_3D0 : 3.0, zero_ats_ar(array_m1), 1 array_m1 : - 1.0, iiif : 0, while iiif <= MAX_TERMS do (jjjf : 0, 1 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/lin_sinhpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; "), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "Digits:32,"), omniout_str(ALWAYS, "max_terms:30,"), omniout_str(ALWAYS, "!"), omniout_str(ALWAYS, "/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS, "/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS, "x_start:0.0,"), omniout_str(ALWAYS, "x_end:10.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS, "glob_look_poles:true,"), omniout_str(ALWAYS, "glob_max_iter: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, " (cosh(2.0*x+3.0)/2.0) "), omniout_str(ALWAYS, "));"), omniout_str(ALWAYS, ""), omniout_str(ALWAYS, "/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt : 0, glob_warned : false, glob_warned2 : false, glob_small_float : 0.0, glob_smallish_float : 0.0, glob_large_float : 1.0E+100, glob_larger_float : 1.1E+100, glob_almost_1 : 0.99, x_start : 0.0, x_end : 10.0, array_y_init : exact_soln_y(x_start), glob_look_poles : true, 1 + 0 glob_max_iter : 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 ) = sinh ( 2.0 * x + 3.0 ) ; "), omniout_int(INFO, "Iterations ", 32, glob_iter, 4, " "), prog_report(x_start, x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2014-01-08T22:36:48-06:00"), logitem_str(html_log_file, "Maxima"), logitem_str(html_log_file, "lin_sinh"), logitem_str(html_log_file, "diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; "), logitem_float(html_log_file, x_start), logitem_float(html_log_file, x_end), logitem_float(html_log_file, array_x ), logitem_float(html_log_file, glob_h), 1 logitem_str(html_log_file, "16"), logitem_good_digits(html_log_file, array_last_rel_error ), logitem_integer(html_log_file, MAX_TERMS), 1 if glob_least_given_sing < glob_large_float then (logitem_float(html_log_file, glob_least_given_sing), 0) else (logitem_str(html_log_file, "NOT GIVEN"), 0), if glob_least_ratio_sing < glob_large_float then (logitem_float(html_log_file, glob_least_ratio_sing), 0) else (logitem_str(html_log_file, "NONE"), 0), if glob_least_3_sing < glob_large_float then (logitem_float(html_log_file, glob_least_3_sing), 0) else (logitem_str(html_log_file, "NONE"), 0), if glob_least_6_sing < glob_large_float then (logitem_float(html_log_file, glob_least_6_sing), 0) else (logitem_str(html_log_file, "NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if glob_percent_done < 100.0 then (logitem_time(html_log_file, glob_total_exp_sec), 0) else (logitem_str(html_log_file, "Done"), 0), log_revs(html_log_file, " 225 "), logitem_str(html_log_file, "lin_sinh diffeq.max"), logitem_str(html_log_file, "lin_sinh 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))) (%i224) main():=(alias(convfloat,convfloat),compile(all),main_prog()) (%o224) main() := (alias(convfloat, convfloat), compile(all), main_prog()) (%i225) 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_const_2D0 in translation. warning: encountered undefined variable array_tmp1 in translation. warning: encountered undefined variable array_const_3D0 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_const_0D0 in translation. warning: encountered undefined variable array_tmp4 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temporary in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable array_y_set_initial in translation. warning: encountered undefined variable kkk in translation. warning: encountered undefined variable order_d in translation. warning: encountered undefined variable adj3 in translation. warning: encountered undefined variable adj2 in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable array_y_init in translation. warning: encountered undefined variable array_norms in translation. warning: encountered undefined variable array_type_pole in translation. warning: encountered undefined variable array_type_real_pole in translation. warning: encountered undefined variable array_type_complex_pole in translation. warning: encountered undefined variable array_tmp0 in translation. warning: encountered undefined variable array_m1 in translation. warning: encountered undefined variable ord in translation. warning: encountered undefined variable array_y_higher_work in translation. warning: encountered undefined variable array_y_higher_work2 in translation. warning: encountered undefined variable array_const_1 in translation. warning: encountered undefined variable iiif in translation. warning: encountered undefined variable jjjf in translation. warning: encountered undefined variable INFO in translation. warning: variable glob_orig_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable x_start in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_max_minutes in translation. warning: encountered undefined variable glob_max_hours in translation. warning: encountered undefined variable x_end in translation. warning: variable glob_check_sign (declared type convfloat) assigned type any. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_max_h in translation. warning: encountered undefined variable glob_display_interval in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable est_answer in translation. warning: encountered undefined variable est_needed_step_err in translation. warning: encountered undefined variable opt_iter in translation. warning: encountered undefined variable found_h in translation. warning: variable glob_next_display (declared type convfloat) assigned type any. warning: encountered undefined variable order_diff in translation. warning: encountered undefined variable r_order in translation. warning: encountered undefined variable rows in translation. warning: encountered undefined variable it in translation. warning: encountered undefined variable estimated_step_error in translation. warning: encountered undefined variable best_h in translation. warning: encountered undefined variable glob_html_log in translation. warning: variable glob_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable DEBUGL in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_current_iter in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable current_iter in translation. warning: encountered undefined variable glob_look_poles in translation. warning: encountered undefined variable glob_next_display in translation. warning: encountered undefined variable calc_term in translation. warning: encountered undefined variable temp_sum in translation. warning: encountered undefined variable html_log_file in translation. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob_percent_done in translation. WARNING: in $ADJUST_FOR_POLE : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $ADJUST_FOR_POLE : $GLOB_OPTIMAL_START is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NEG_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound, it will be treated as if it were declared SPECIAL. Warning: modedcclare has a function or macro call which has not been translated properly. The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################" "##############temp/lin_sinhpostode.ode#################" "diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:0.0," "x_end:10.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_max_iter: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(" " (cosh(2.0*x+3.0)/2.0) " "));" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" glob_desired_digits_correct = 10. "" estimated_h = 1.000000E-6 "" estimated_answer = 1. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 10. "" estimated_steps = 10000000. "" step_error = 9.999999999999999000000000000000000E-18 "" est_needed_step_err = 9.999999999999999000000000000000000E-18 "" opt_iter = 1 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 8.3764398691415980000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 "" estimated_step_error = 8.3764398691415980000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-175 "" 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 = 5.621333432656028000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 "" estimated_step_error = 5.621333432656028000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-167 "" best_h = 4.000000E-6 "" opt_iter = 3 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 3.772412730251474300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-159 "" estimated_step_error = 3.772412730251474300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-159 "" best_h = 8.000000E-6 "" opt_iter = 4 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.5316229554623660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-151 "" estimated_step_error = 2.5316229554623660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-151 "" best_h = 1.600000E-5 "" opt_iter = 5 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.698942905272192200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-143 "" estimated_step_error = 1.698942905272192200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-143 "" 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 = 1.1401406114371332000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-135 "" estimated_step_error = 1.1401406114371332000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-135 "" 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 = 7.65134509991269200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 "" estimated_step_error = 7.65134509991269200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-128 "" 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 = 5.1347186661350030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 "" estimated_step_error = 5.1347186661350030000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-120 "" 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 = 3.44583511103546850000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-112 "" estimated_step_error = 3.44583511103546850000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-112 "" 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 = 2.31243898039485200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-104 "" estimated_step_error = 2.31243898039485200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-104 "" best_h = 1.024000E-3 "" opt_iter = 11 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.5518222460934772000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-96 "" estimated_step_error = 1.5518222460934772000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-96 "" 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 = 1.04137097370671990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-88 "" estimated_step_error = 1.04137097370671990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-88 "" 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 = 6.987994677757102000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 "" estimated_step_error = 6.987994677757102000000000000000000000000000000000000000000000000000000000000000000000000000000000E-81 "" 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 = 4.6888555195361190000000000000000000000000000000000000000000000000000000000000000000000000E-73 "" estimated_step_error = 4.6888555195361190000000000000000000000000000000000000000000000000000000000000000000000000E-73 "" 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 = 3.14568655722623700000000000000000000000000000000000000000000000000000000000000000E-65 "" estimated_step_error = 3.14568655722623700000000000000000000000000000000000000000000000000000000000000000E-65 "" 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 = 2.1097568237260736000000000000000000000000000000000000000000000000000000000E-57 "" estimated_step_error = 2.1097568237260736000000000000000000000000000000000000000000000000000000000E-57 "" best_h = 6.553600E-2 "" opt_iter = 17 hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.4141159431892280000000000000000000000000000000000000000000000000E-49 "" estimated_step_error = 1.4141159431892280000000000000000000000000000000000000000000000000E-49 "" 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 = 9.466833833676859000000000000000000000000000000000000000000E-42 "" estimated_step_error = 9.466833833676859000000000000000000000000000000000000000000E-42 "" best_h = 0.1 "" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 0.0 " " y[1] (analytic) = 5.033830997888883 " " y[1] (numeric) = 5.033830997888883 " " 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 = 0.24999692791269892 " " Order of pole (three term test) = 22.497521263053223 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.00E-2 " " y[1] (analytic) = 5.135023225638738 " " y[1] (numeric) = 5.135023225638736 " " absolute error = 2.6645352591003757000000000000000E-15 " " relative error = 5.18894490252074300000000000000E-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 = 0.24999716410465522 " " Order of pole (three term test) = 22.49761845459409 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.00E-2 " " y[1] (analytic) = 5.238269531146739 " " y[1] (numeric) = 5.2382695311467335 " " absolute error = 5.329070518200751000000000000000E-15 " " relative error = 1.01733415711316680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999738213750902 " " Order of pole (three term test) = 22.49771183532734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.00E-2 " " y[1] (analytic) = 5.343611214311723 " " y[1] (numeric) = 5.343611214311715 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.49591829508328720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999758340736922 " " Order of pole (three term test) = 22.497801554662505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.00E-2 " " y[1] (analytic) = 5.4510904132115305 " " y[1] (numeric) = 5.451090413211520 " " absolute error = 9.769962616701378000000000000000E-15 " " relative error = 1.7922950962292640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249997769203011 " " Order of pole (three term test) = 22.497887756152284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.00E-2 " " y[1] (analytic) = 5.560750120958798 " " y[1] (numeric) = 5.560750120958786 " " absolute error = 1.243449787580175300000000000000E-14 " " relative error = 2.2361187978822120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499979407141276 " " Order of pole (three term test) = 22.49797057772206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.000000000000001000E-2 " " y[1] (analytic) = 5.672634202898773 " " y[1] (numeric) = 5.672634202898757 " " absolute error = 1.598721155460225400000000000000E-14 " " relative error = 2.8183046857547467000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999809903894735 " " Order of pole (three term test) = 22.498050151890357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.00E-2 " " y[1] (analytic) = 5.786787414156038 " " y[1] (numeric) = 5.786787414156020 " " absolute error = 1.86517468137026300000000000000E-14 " " relative error = 3.22316087991679900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999824519126554 " " Order of pole (three term test) = 22.498126605980698 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.00E-2 " " y[1] (analytic) = 5.90325541753716 " " y[1] (numeric) = 5.903255417537138 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 3.76139247279373870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999838010693537 " " Order of pole (three term test) = 22.498200062325207 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.00E-2 " " y[1] (analytic) = 6.022084801796418 " " y[1] (numeric) = 6.022084801796393 " " absolute error = 2.486899575160350700000000000000E-14 " " relative error = 4.1296322735583130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999850464986012 " " Order of pole (three term test) = 22.49827063846016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.99999999999999900E-2 " " y[1] (analytic) = 6.14332310027193 " " y[1] (numeric) = 6.1433231002719015 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 4.6264389755352340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999861961752498 " " Order of pole (three term test) = 22.498338447313998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.10999999999999999 " " y[1] (analytic) = 6.267018809899614 " " y[1] (numeric) = 6.267018809899586 " " absolute error = 2.84217094304040100000000000000E-14 " " relative error = 4.5351243218718323000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999872574610257 " " Order of pole (three term test) = 22.498403597387846 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.11999999999999998 " " y[1] (analytic) = 6.393221410612626 " " y[1] (numeric) = 6.393221410612594 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 5.0013007614795850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499988237151673 " " Order of pole (three term test) = 22.498466192929072 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.12999999999999998 " " y[1] (analytic) = 6.521981385133972 " " y[1] (numeric) = 6.5219813851339365 " " absolute error = 3.55271367880050100000000000000E-14 " " relative error = 5.4472919639090970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999891415204653 " " Order of pole (three term test) = 22.49852633409801 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.13999999999999999 " " y[1] (analytic) = 6.653350239170282 " " y[1] (numeric) = 6.653350239170244 " " absolute error = 3.819167204710538500000000000000E-14 " " relative error = 5.7402166839586290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999899763583708 " " Order of pole (three term test) = 22.498584117128118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.15 " " y[1] (analytic) = 6.7873805220147805 " " y[1] (numeric) = 6.787380522014739 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 6.1502940037778220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999907470111352 " " Order of pole (three term test) = 22.498639634479943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.16 " " y[1] (analytic) = 6.924125847567698 " " y[1] (numeric) = 6.924125847567653 " " absolute error = 4.52970994047063870000000000000E-14 " " relative error = 6.5419231830713060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499991458413511 " " Order of pole (three term test) = 22.49869297498898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.17 " " y[1] (analytic) = 7.0636409157825515 " " y[1] (numeric) = 7.063640915782503 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 6.915670497117140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499992115120853 " " Order of pole (three term test) = 22.49874422400777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.18000000000000002 " " y[1] (analytic) = 7.205981534546853 " " y[1] (numeric) = 7.2059815345468 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 7.3953430114303920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999927213382872 " " Order of pole (three term test) = 22.498793463542437 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.19000000000000003 " " y[1] (analytic) = 7.351204642006008 " " y[1] (numeric) = 7.351204642005952 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 7.732531146799430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999932809476408 " " Order of pole (three term test) = 22.498840772383872 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.20000000000000004 " " y[1] (analytic) = 7.499368329339334 " " y[1] (numeric) = 7.499368329339274 " " absolute error = 6.03961325396085200000000000000E-14 " " relative error = 8.0534959595629290000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499993797532295 " " Order of pole (three term test) = 22.49888622623379 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.21000000000000005 " " y[1] (analytic) = 7.650531863997307 " " y[1] (numeric) = 7.650531863997243 " " absolute error = 6.39488462184090200000000000000E-14 " " relative error = 8.3587451637638890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499994274400127 " " Order of pole (three term test) = 22.498929897825757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.22000000000000006 " " y[1] (analytic) = 7.80475571340933 " " y[1] (numeric) = 7.8047557134092616 " " absolute error = 6.83897383169096400000000000000E-14 " " relative error = 8.7625725683392520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999947146046997 " " Order of pole (three term test) = 22.498971857041656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.23000000000000007 " " y[1] (analytic) = 7.962101569171514 " " y[1] (numeric) = 7.962101569171441 " " absolute error = 7.28306304154102700000000000000E-14 " " relative error = 9.147161686231611000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499995120964804 " " Order of pole (three term test) = 22.499012171023395 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.24000000000000007 " " y[1] (analytic) = 8.122632371724137 " " y[1] (numeric) = 8.122632371724059 " " absolute error = 7.81597009336110200000000000000E-14 " " relative error = 9.6224594880958030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999954960825177 " " Order of pole (three term test) = 22.499050904280384 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.25000000000000006 " " y[1] (analytic) = 8.286412335528658 " " y[1] (numeric) = 8.286412335528576 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 9.8610123783079170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999958423598614 " " Order of pole (three term test) = 22.4990881187927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.26000000000000006 " " y[1] (analytic) = 8.453506974754362 " " y[1] (numeric) = 8.453506974754275 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 1.029649415213755000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999961620141808 " " Order of pole (three term test) = 22.499123874110257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2700000000000001 " " y[1] (analytic) = 8.623983129484897 " " y[1] (numeric) = 8.623983129484804 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 1.0710892433567439000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499996457092344 " " Order of pole (three term test) = 22.49915822744809 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2800000000000001 " " y[1] (analytic) = 8.7979089924552 " " y[1] (numeric) = 8.797908992455103 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 1.1104868924058862000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999967294838507 " " Order of pole (three term test) = 22.49919123377789 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.2900000000000001 " " y[1] (analytic) = 8.975354136329502 " " y[1] (numeric) = 8.9753541363294 " " absolute error = 1.01252339845814280000000000000E-13 " " relative error = 1.1281152621708332000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999969809329295 " " Order of pole (three term test) = 22.499222945915974 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3000000000000001 " " y[1] (analytic) = 9.15638954153132 " " y[1] (numeric) = 9.156389541531215 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 1.1446111270085514000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499997213049707 " " Order of pole (three term test) = 22.49925341460776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3100000000000001 " " y[1] (analytic) = 9.341087624636573 " " y[1] (numeric) = 9.341087624636463 " " absolute error = 1.10134124042815530000000000000E-13 " " relative error = 1.179028914709495000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499997427320518 " " Order of pole (three term test) = 22.49928268860897 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3200000000000001 " " y[1] (analytic) = 9.529522267341177 " " y[1] (numeric) = 9.529522267341061 " " absolute error = 1.15463194561016280000000000000E-13 " " relative error = 1.2116367570357917000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999976251174216 " " Order of pole (three term test) = 22.499310814763653 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3300000000000001 " " y[1] (analytic) = 9.721768846014708 " " y[1] (numeric) = 9.721768846014587 " " absolute error = 1.20792265079217030000000000000E-13 " " relative error = 1.2424926676664813000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499997807706992 " " Order of pole (three term test) = 22.499337838079114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.34000000000000014 " " y[1] (analytic) = 9.917904261851957 " " y[1] (numeric) = 9.917904261851831 " " absolute error = 1.26121335597417780000000000000E-13 " " relative error = 1.2716530858492810000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999979762584196 " " Order of pole (three term test) = 22.49936380179796 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.35000000000000014 " " y[1] (analytic) = 10.118006971634435 " " y[1] (numeric) = 10.118006971634303 " " absolute error = 1.31450406115618530000000000000E-13 " " relative error = 1.2991729150230502000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999981318510084 " " Order of pole (three term test) = 22.49938874746725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.36000000000000015 " " y[1] (analytic) = 10.322157019114124 " " y[1] (numeric) = 10.322157019113988 " " absolute error = 1.36779476633819290000000000000E-13 " " relative error = 1.3251055605968498000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999982754810787 " " Order of pole (three term test) = 22.499412715005008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.37000000000000016 " " y[1] (analytic) = 10.530436067032054 " " y[1] (numeric) = 10.530436067031912 " " absolute error = 1.42108547152020040000000000000E-13 " " relative error = 1.349502966899191000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499998408068352 " " Order of pole (three term test) = 22.49943574276408 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.38000000000000017 " " y[1] (analytic) = 10.742927429784483 " " y[1] (numeric) = 10.742927429784336 " " absolute error = 1.4743761767022080000000000000E-13 " " relative error = 1.3724156533111626000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999985304618372 " " Order of pole (three term test) = 22.499457867593488 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.3900000000000002 " " y[1] (analytic) = 10.959716106749768 " " y[1] (numeric) = 10.959716106749616 " " absolute error = 1.52766688188421540000000000000E-13 " " relative error = 1.3938927495972000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999986434452698 " " Order of pole (three term test) = 22.499479124897434 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4000000000000002 " " y[1] (analytic) = 11.18088881628925 " " y[1] (numeric) = 11.180888816289091 " " absolute error = 1.59872115546022540000000000000E-13 " " relative error = 1.4298694689916555000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499998747742128 " " Order of pole (three term test) = 22.4994995486919 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4100000000000002 " " y[1] (analytic) = 11.406534030435752 " " y[1] (numeric) = 11.406534030435587 " " absolute error = 1.6520118606422330000000000000E-13 " " relative error = 1.4483031008667607000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499998844020266 " " Order of pole (three term test) = 22.499519171659106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4200000000000002 " " y[1] (analytic) = 11.636742010283578 " " y[1] (numeric) = 11.636742010283406 " " absolute error = 1.7230661342182430000000000000E-13 " " relative error = 1.4807118115152348000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999989328961922 " " Order of pole (three term test) = 22.49953802519981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4300000000000002 " " y[1] (analytic) = 11.871604842094145 " " y[1] (numeric) = 11.871604842093967 " " absolute error = 1.77635683940025050000000000000E-13 " " relative error = 1.4963072499698382000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999990149390156 " " Order of pole (three term test) = 22.499556139483538 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.4400000000000002 " " y[1] (analytic) = 12.111216474131727 " " y[1] (numeric) = 12.111216474131542 " " absolute error = 1.84741111297626050000000000000E-13 " " relative error = 1.5253720523633066000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999990906740893 " " Order of pole (three term test) = 22.499573543496872 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.45000000000000023 " " y[1] (analytic) = 12.355672754243999 " " y[1] (numeric) = 12.355672754243807 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 1.552700063129549000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999991605863756 " " Order of pole (three term test) = 22.499590265089807 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.46000000000000024 " " y[1] (analytic) = 12.60507146820247 " " y[1] (numeric) = 12.60507146820227 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 1.5783485759259988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999992251235525 " " Order of pole (three term test) = 22.499606331020356 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.47000000000000025 " " y[1] (analytic) = 12.859512378818081 " " y[1] (numeric) = 12.859512378817875 " " absolute error = 2.06057393370429050000000000000E-13 " " relative error = 1.6023733039041393000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999284698876 " " Order of pole (three term test) = 22.499621766997326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.48000000000000026 " " y[1] (analytic) = 13.119097265847671 " " y[1] (numeric) = 13.119097265847458 " " absolute error = 2.13162820728030060000000000000E-13 " " relative error = 1.6248284192765827000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999339693833 " " Order of pole (three term test) = 22.4996365977215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.49000000000000027 " " y[1] (analytic) = 13.38392996670723 " " y[1] (numeric) = 13.38392996670701 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 1.6457665919767386000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999993904605775 " " Order of pole (three term test) = 22.499650846925107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5000000000000002 " " y[1] (analytic) = 13.654116418008243 " " y[1] (numeric) = 13.654116418008023 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 1.613200307821617800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999943732419 " " Order of pole (three term test) = 22.49966453740985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5100000000000002 " " y[1] (analytic) = 13.929764697933786 " " y[1] (numeric) = 13.929764697933551 " " absolute error = 2.34479102800833060000000000000E-13 " " relative error = 1.6832955034453204000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999994805847572 " " Order of pole (three term test) = 22.499677691083363 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5200000000000002 " " y[1] (analytic) = 14.210985069471175 " " y[1] (numeric) = 14.210985069470926 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 1.7499839476313620000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999995205192954 " " Order of pole (three term test) = 22.499690328994276 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5300000000000002 " " y[1] (analytic) = 14.497890024518666 " " y[1] (numeric) = 14.497890024518417 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 1.715352765784907100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999955738352 " " Order of pole (three term test) = 22.49970247136589 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5400000000000003 " " y[1] (analytic) = 14.790594328883744 " " y[1] (numeric) = 14.790594328883493 " " absolute error = 2.5046631435543530000000000000E-13 " " relative error = 1.6934161588511243000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999995914134898 " " Order of pole (three term test) = 22.499714137628562 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5500000000000003 " " y[1] (analytic) = 15.08921506819094 " " y[1] (numeric) = 15.089215068190676 " " absolute error = 2.6467716907063730000000000000E-13 " " relative error = 1.7540817588887989000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999996228271112 " " Order of pole (three term test) = 22.499725346450745 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5600000000000003 " " y[1] (analytic) = 15.393871694717632 " " y[1] (numeric) = 15.393871694717351 " " absolute error = 2.80664380625239600000000000000E-13 " " relative error = 1.8232215143221497000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999996518255385 " " Order of pole (three term test) = 22.499736115768922 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5700000000000003 " " y[1] (analytic) = 15.704686075176555 " " y[1] (numeric) = 15.704686075176273 " " absolute error = 2.8244073746463980000000000000E-13 " " relative error = 1.7984487949178224000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999996785944623 " " Order of pole (three term test) = 22.499746462816265 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5800000000000003 " " y[1] (analytic) = 16.021782539464155 " " y[1] (numeric) = 16.02178253946387 " " absolute error = 2.84217094304040100000000000000E-13 " " relative error = 1.773941779598924000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999997033052923 " " Order of pole (three term test) = 22.499756404150226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.5900000000000003 " " y[1] (analytic) = 16.34528793039417 " " y[1] (numeric) = 16.34528793039387 " " absolute error = 3.0198066269804260000000000000E-13 " " relative error = 1.847508982307418000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999997261162646 " " Order of pole (three term test) = 22.499765955679056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6000000000000003 " " y[1] (analytic) = 16.675331654436423 " " y[1] (numeric) = 16.675331654436107 " " absolute error = 3.1619151741324460000000000000E-13 " " relative error = 1.8961632905761294000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999997471734461 " " Order of pole (three term test) = 22.499775132687198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6100000000000003 " " y[1] (analytic) = 17.012045733481155 " " y[1] (numeric) = 17.012045733480836 " " absolute error = 3.1974423109204510000000000000E-13 " " relative error = 1.8795166442726002000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999766611674 " " Order of pole (three term test) = 22.499783949859804 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6200000000000003 " " y[1] (analytic) = 17.35556485764958 " " y[1] (numeric) = 17.35556485764926 " " absolute error = 3.1974423109204510000000000000E-13 " " relative error = 1.8423153248804558000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999978455542 " " Order of pole (three term test) = 22.49979242130622 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6300000000000003 " " y[1] (analytic) = 17.706026439171694 " " y[1] (numeric) = 17.70602643917136 " " absolute error = 3.3395508580724710000000000000E-13 " " relative error = 1.886109720634021000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999801119586 " " Order of pole (three term test) = 22.499800560582567 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6400000000000003 " " y[1] (analytic) = 18.06357066735298 " " y[1] (numeric) = 18.06357066735263 " " absolute error = 3.5171865420124960000000000000E-13 " " relative error = 1.947115886876811800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999998164102386 " " Order of pole (three term test) = 22.499808380713393 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6500000000000004 " " y[1] (analytic) = 18.42834056465201 " " y[1] (numeric) = 18.42834056465166 " " absolute error = 3.5171865420124960000000000000E-13 " " relative error = 1.9085747464201547000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999998305252896 " " Order of pole (three term test) = 22.49981589421257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6600000000000004 " " y[1] (analytic) = 18.80048204389139 " " y[1] (numeric) = 18.800482043891034 " " absolute error = 3.5527136788005010000000000000E-13 " " relative error = 1.889692865590561000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999843555124 " " Order of pole (three term test) = 22.499823113103293 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6700000000000004 " " y[1] (analytic) = 19.180143966624772 " " y[1] (numeric) = 19.1801439666244 " " absolute error = 3.7303493627405260000000000000E-13 " " relative error = 1.9449016489301016000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999998555831776 " " Order of pole (three term test) = 22.499830048937312 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6800000000000004 " " y[1] (analytic) = 19.56747820268347 " " y[1] (numeric) = 19.567478202683077 " " absolute error = 3.9435121834685560000000000000E-13 " " relative error = 2.015340016031163800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999986668647 " " Order of pole (three term test) = 22.49983671281343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.6900000000000004 " " y[1] (analytic) = 19.962639690926412 " " y[1] (numeric) = 19.962639690926018 " " absolute error = 3.9435121834685560000000000000E-13 " " relative error = 1.975446255868153000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999876936101 " " Order of pole (three term test) = 22.499843115395272 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7000000000000004 " " y[1] (analytic) = 20.365786501217805 " " y[1] (numeric) = 20.365786501217407 " " absolute error = 3.9790393202565610000000000000E-13 " " relative error = 1.953786228692237200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999886397703 " " Order of pole (three term test) = 22.499849266928326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7100000000000004 " " y[1] (analytic) = 20.77707989765714 " " y[1] (numeric) = 20.777079897656723 " " absolute error = 4.1566750041965860000000000000E-13 " " relative error = 2.0006059680529506000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999895131862 " " Order of pole (three term test) = 22.499855177256354 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7200000000000004 " " y[1] (analytic) = 21.196684403086966 " " y[1] (numeric) = 21.19668440308653 " " absolute error = 4.3698378249246160000000000000E-13 " " relative error = 2.061566677988666000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999903194508 " " Order of pole (three term test) = 22.499860855837134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7300000000000004 " " y[1] (analytic) = 21.624767864904232 " " y[1] (numeric) = 21.624767864903795 " " absolute error = 4.3698378249246160000000000000E-13 " " relative error = 2.020755946248382000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999106372678 " " Order of pole (three term test) = 22.4998663117576 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7400000000000004 " " y[1] (analytic) = 22.061501522201546 " " y[1] (numeric) = 22.061501522201105 " " absolute error = 4.4053649617126210000000000000E-13 " " relative error = 1.996856359608746900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999175078014 " " Order of pole (three term test) = 22.499871553748388 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7500000000000004 " " y[1] (analytic) = 22.507060074265034 " " y[1] (numeric) = 22.507060074264572 " " absolute error = 4.6185277824406510000000000000E-13 " " relative error = 2.0520351246236537000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999238501025 " " Order of pole (three term test) = 22.499876590197793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7600000000000005 " " y[1] (analytic) = 22.961621750456363 " " y[1] (numeric) = 22.96162175045588 " " absolute error = 4.8316906031686810000000000000E-13 " " relative error = 2.1042462312456878000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999929704785 " " Order of pole (three term test) = 22.49988142916521 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7700000000000005 " " y[1] (analytic) = 23.425368381506896 " " y[1] (numeric) = 23.42536838150641 " " absolute error = 4.8672177399566860000000000000E-13 " " relative error = 2.077755047728129000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999935109338 " " Order of pole (three term test) = 22.499886078394024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7800000000000005 " " y[1] (analytic) = 23.89848547225244 " " y[1] (numeric) = 23.898485472251952 " " absolute error = 4.8672177399566860000000000000E-13 " " relative error = 2.0366218376506806000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999940098369 " " Order of pole (three term test) = 22.49989054532398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.7900000000000005 " " y[1] (analytic) = 24.381162275837625 " " y[1] (numeric) = 24.381162275837116 " " absolute error = 5.0803805606847160000000000000E-13 " " relative error = 2.083731900558124000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999944703825 " " Order of pole (three term test) = 22.499894837103113 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8000000000000005 " " y[1] (analytic) = 24.873591869419645 " " y[1] (numeric) = 24.873591869419112 " " absolute error = 5.3290705182007510000000000000E-13 " " relative error = 2.1424611878240524000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999948955197 " " Order of pole (three term test) = 22.49989896059919 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8100000000000005 " " y[1] (analytic) = 25.375971231401724 " " y[1] (numeric) = 25.37597123140119 " " absolute error = 5.3290705182007510000000000000E-13 " " relative error = 2.100045933062158000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999952879708 " " Order of pole (three term test) = 22.499902922410687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8200000000000005 " " y[1] (analytic) = 25.88850132022716 " " y[1] (numeric) = 25.888501320226624 " " absolute error = 5.3645976549887560000000000000E-13 " " relative error = 2.0721932060228218000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999565024875 " " Order of pole (three term test) = 22.499906728877345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8300000000000005 " " y[1] (analytic) = 26.41138715476533 " " y[1] (numeric) = 26.411387154764768 " " absolute error = 5.6132876125047910000000000000E-13 " " relative error = 2.125328586345001000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999959846735 " " Order of pole (three term test) = 22.499910386090313 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8400000000000005 " " y[1] (analytic) = 26.94483789632193 " " y[1] (numeric) = 26.944837896321342 " " absolute error = 5.8619775700208270000000000000E-13 " " relative error = 2.1755475362577736000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999629338654 " " Order of pole (three term test) = 22.49991389990192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8500000000000005 " " y[1] (analytic) = 27.48906693230633 " " y[1] (numeric) = 27.48906693230574 " " absolute error = 5.8975047068088320000000000000E-13 " " relative error = 2.1454001044603777000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999657836458 " " Order of pole (three term test) = 22.499917275935008 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8600000000000005 " " y[1] (analytic) = 28.04429196158943 " " y[1] (numeric) = 28.04429196158884 " " absolute error = 5.8975047068088320000000000000E-13 " " relative error = 2.1029251567079274000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999684143237 " " Order of pole (three term test) = 22.499920519591953 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8700000000000006 " " y[1] (analytic) = 28.610735081586068 " " y[1] (numeric) = 28.610735081585453 " " absolute error = 6.1461946643248670000000000000E-13 " " relative error = 2.1482127763577005000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999970842746 " " Order of pole (three term test) = 22.499923636063286 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8800000000000006 " " y[1] (analytic) = 29.1886228770969 " " y[1] (numeric) = 29.188622877096254 " " absolute error = 6.4659388954169120000000000000E-13 " " relative error = 2.215225748279636700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999730844621 " " Order of pole (three term test) = 22.499926630336052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.8900000000000006 " " y[1] (analytic) = 29.778186510945368 " " y[1] (numeric) = 29.77818651094472 " " absolute error = 6.4659388954169120000000000000E-13 " " relative error = 2.171367585813283000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999751538268 " " Order of pole (three term test) = 22.49992950720169 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9000000000000006 " " y[1] (analytic) = 30.379661816445996 " " y[1] (numeric) = 30.379661816445346 " " absolute error = 6.5014660322049170000000000000E-13 " " relative error = 2.1400718913484926000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999977064091 " " Order of pole (three term test) = 22.499932271263816 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9100000000000006 " " y[1] (analytic) = 30.993289391740788 " " y[1] (numeric) = 30.993289391740106 " " absolute error = 6.8212102632969620000000000000E-13 " " relative error = 2.2008668318744848000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999788274888 " " Order of pole (three term test) = 22.49993492694553 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9200000000000006 " " y[1] (analytic) = 31.619314696041645 " " y[1] (numeric) = 31.619314696040934 " " absolute error = 7.1054273576010020000000000000E-13 " " relative error = 2.2471794300116552000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999804553075 " " Order of pole (three term test) = 22.499937478496467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9300000000000006 " " y[1] (analytic) = 32.25798814781738 " " y[1] (numeric) = 32.25798814781666 " " absolute error = 7.1764816311770120000000000000E-13 " " relative error = 2.224714572493444000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999981957975 " " Order of pole (three term test) = 22.499939929999663 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9400000000000006 " " y[1] (analytic) = 32.909565224964474 " " y[1] (numeric) = 32.90956522496376 " " absolute error = 7.1764816311770120000000000000E-13 " " relative error = 2.180667408432698000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999833451123 " " Order of pole (three term test) = 22.499942285378054 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9500000000000006 " " y[1] (analytic) = 33.57430656700164 " " y[1] (numeric) = 33.574306567000896 " " absolute error = 7.4606987254810520000000000000E-13 " " relative error = 2.2221452915467707000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999984625601 " " Order of pole (three term test) = 22.499944548400737 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9600000000000006 " " y[1] (analytic) = 34.252478079329 " " y[1] (numeric) = 34.25247807932822 " " absolute error = 7.8159700933611020000000000000E-13 " " relative error = 2.281869964345136000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999858076405 " " Order of pole (three term test) = 22.499946722689028 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9700000000000006 " " y[1] (analytic) = 34.94435103959386 " " y[1] (numeric) = 34.94435103959307 " " absolute error = 7.8870243669371120000000000000E-13 " " relative error = 2.2570241347451790000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999868988015 " " Order of pole (three term test) = 22.499948811722266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9800000000000006 " " y[1] (analytic) = 35.65020220620545 " " y[1] (numeric) = 35.65020220620466 " " absolute error = 7.8870243669371120000000000000E-13 " " relative error = 2.2123365026985056000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999879060694 " " Order of pole (three term test) = 22.499950818843335 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 0.9900000000000007 " " y[1] (analytic) = 36.37031392904192 " " y[1] (numeric) = 36.370313929041096 " " absolute error = 8.2422957348171620000000000000E-13 " " relative error = 2.2662151750732176000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999888358948 " " Order of pole (three term test) = 22.49995274726406 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0000000000000007 " " y[1] (analytic) = 37.10497426239399 " " y[1] (numeric) = 37.10497426239313 " " absolute error = 8.5975671026972120000000000000E-13 " " relative error = 2.3170928625089696000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999896942324 " " Order of pole (three term test) = 22.499954600070332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0100000000000007 " " y[1] (analytic) = 37.85447708019057 " " y[1] (numeric) = 37.85447708018971 " " absolute error = 8.5975671026972120000000000000E-13 " " relative error = 2.2712153926956133000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999904865777 " " Order of pole (three term test) = 22.499956380227033 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0200000000000007 " " y[1] (analytic) = 38.61912219355232 " " y[1] (numeric) = 38.619122193551455 " " absolute error = 8.6686213762732220000000000000E-13 " " relative error = 2.2446448505037478000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999912180038 " " Order of pole (three term test) = 22.499958090582787 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0300000000000007 " " y[1] (analytic) = 39.399215470720016 " " y[1] (numeric) = 39.39921547071911 " " absolute error = 9.0238927441532720000000000000E-13 " " relative error = 2.2903737133698723000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999918931956 " " Order of pole (three term test) = 22.499959733874533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0400000000000007 " " y[1] (analytic) = 40.19506895940588 " " y[1] (numeric) = 40.19506895940494 " " absolute error = 9.3791641120333220000000000000E-13 " " relative error = 2.333411623576415000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999925164765 " " Order of pole (three term test) = 22.499961312731894 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0500000000000007 " " y[1] (analytic) = 41.00700101161687 " " y[1] (numeric) = 41.00700101161593 " " absolute error = 9.4502183856093320000000000000E-13 " " relative error = 2.304537799029044000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999930918373 " " Order of pole (three term test) = 22.499962829681365 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0600000000000007 " " y[1] (analytic) = 41.835336410999815 " " y[1] (numeric) = 41.83533641099886 " " absolute error = 9.5212726591853420000000000000E-13 " " relative error = 2.275892457430294000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999993622962 " " Order of pole (three term test) = 22.4999642871504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0700000000000007 " " y[1] (analytic) = 42.68040650275911 " " y[1] (numeric) = 42.680406502758125 " " absolute error = 9.8765440270653930000000000000E-13 " " relative error = 2.3140698124388565000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999941132525 " " Order of pole (three term test) = 22.499965687471267 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0800000000000007 " " y[1] (analytic) = 43.54254932619920 " " y[1] (numeric) = 43.54254932619816 " " absolute error = 1.0302869668521453000000000000E-12 " " relative error = 2.366161335969895000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999945658463 " " Order of pole (three term test) = 22.499967032884754 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.0900000000000007 " " y[1] (analytic) = 44.422109749944774 " " y[1] (numeric) = 44.42210974994374 " " absolute error = 1.0302869668521453000000000000E-12 " " relative error = 2.319311200327278700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999949836443 " " Order of pole (three term test) = 22.499968325543833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1000000000000008 " " y[1] (analytic) = 45.31943960989303 " " y[1] (numeric) = 45.319439609891994 " " absolute error = 1.0373923942097463000000000000E-12 " " relative error = 2.289067126909681000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999999536932 " " Order of pole (three term test) = 22.499969567517024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1100000000000008 " " y[1] (analytic) = 46.23489784995254 " " y[1] (numeric) = 46.23489784995145 " " absolute error = 1.0871303857129533000000000000E-12 " " relative error = 2.3513199688275493000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999957253435 " " Order of pole (three term test) = 22.49997076079174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1200000000000008 " " y[1] (analytic) = 47.16885066562555 " " y[1] (numeric) = 47.16885066562442 " " absolute error = 1.1297629498585593000000000000E-12 " " relative error = 2.3951462329818388000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999960539954 " " Order of pole (three term test) = 22.4999719072775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1300000000000008 " " y[1] (analytic) = 48.121671650491166 " " y[1] (numeric) = 48.12167165049003 " " absolute error = 1.1368683772161603000000000000E-12 " " relative error = 2.3624872915331413000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999963573777 " " Order of pole (three term test) = 22.499973008808897 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1400000000000008 " " y[1] (analytic) = 49.09374194564782 " " y[1] (numeric) = 49.09374194564668 " " absolute error = 1.1439738045737613000000000000E-12 " " relative error = 2.3301825431034903000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999966374367 " " Order of pole (three term test) = 22.499974067148646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1500000000000008 " " y[1] (analytic) = 50.08545039217473 " " y[1] (numeric) = 50.08545039217354 " " absolute error = 1.1866063687193673000000000000E-12 " " relative error = 2.3691638178914345000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999968959624 " " Order of pole (three term test) = 22.499975083990286 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1600000000000008 " " y[1] (analytic) = 51.09719368667342 " " y[1] (numeric) = 51.097193686672185 " " absolute error = 1.2363443602225743000000000000E-12 " " relative error = 2.419593466920715000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999997134613 " " Order of pole (three term test) = 22.499976060961004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1700000000000008 " " y[1] (analytic) = 52.129376539951735 " " y[1] (numeric) = 52.12937653995049 " " absolute error = 1.2434497875801753000000000000E-12 " " relative error = 2.3853149032526808000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999997354914 " " Order of pole (three term test) = 22.499976999624145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1800000000000008 " " y[1] (analytic) = 53.18241183891365 " " y[1] (numeric) = 53.1824118389124 " " absolute error = 1.2505552149377763000000000000E-12 " " relative error = 2.351445095656122800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999975582782 " " Order of pole (three term test) = 22.499977901481778 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.1900000000000008 " " y[1] (analytic) = 54.256720811719454 " " y[1] (numeric) = 54.256720811718154 " " absolute error = 1.3002932064409833000000000000E-12 " " relative error = 2.396556937071877000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999997746006 " " Order of pole (three term test) = 22.499978767977066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2000000000000008 " " y[1] (analytic) = 55.35273319628254 " " y[1] (numeric) = 55.352733196281186 " " absolute error = 1.3571366253017914000000000000E-12 " " relative error = 2.451796951903607000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999979193013 " " Order of pole (three term test) = 22.499979600496598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2100000000000009 " " y[1] (analytic) = 56.47088741217038 " " y[1] (numeric) = 56.47088741216901 " " absolute error = 1.3642420526593924000000000000E-12 " " relative error = 2.415832502687706200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999980792734 " " Order of pole (three term test) = 22.499980400372564 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2200000000000009 " " y[1] (analytic) = 57.61163073597828 " " y[1] (numeric) = 57.61163073597692 " " absolute error = 1.3642420526593924000000000000E-12 " " relative error = 2.367997633865669000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999982269455 " " Order of pole (three term test) = 22.499981168884947 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2300000000000009 " " y[1] (analytic) = 58.77541948024595 " " y[1] (numeric) = 58.77541948024453 " " absolute error = 1.4210854715202004000000000000E-12 " " relative error = 2.4178227634731184000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999983632643 " " Order of pole (three term test) = 22.49998190726353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2400000000000009 " " y[1] (analytic) = 59.962719175988425 " " y[1] (numeric) = 59.96271917598695 " " absolute error = 1.4779288903810084000000000000E-12 " " relative error = 2.4647462801734193000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999984891028 " " Order of pole (three term test) = 22.49998261668988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.2500000000000009 " " y[1] (analytic) = 61.17400475891482 " " y[1] (numeric) = 61.17400475891334 " " absolute error = 1.4779288903810084000000000000E-12 " " relative error = 2.4159426805642173000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999998605266 " " Order of pole (three term test) = 22.499983298299217 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.260000000000001 " " y[1] (analytic) = 62.40976075940906 " " y[1] (numeric) = 62.409760759407575 " " absolute error = 1.4850343177386094000000000000E-12 " " relative error = 2.379490483008655800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999987124985 " " Order of pole (three term test) = 22.499983953182273 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.270000000000001 " " y[1] (analytic) = 63.67048149634835 " " y[1] (numeric) = 63.67048149634681 " " absolute error = 1.5418777365994174000000000000E-12 " " relative error = 2.421652389558021000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999988114863 " " Order of pole (three term test) = 22.499984582386993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.280000000000001 " " y[1] (analytic) = 64.95667127483726 " " y[1] (numeric) = 64.95667127483566 " " absolute error = 1.6058265828178264000000000000E-12 " " relative error = 2.4721503600814704000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999989028635 " " Order of pole (three term test) = 22.499985186920245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.290000000000001 " " y[1] (analytic) = 66.26884458793654 " " y[1] (numeric) = 66.26884458793494 " " absolute error = 1.6058265828178264000000000000E-12 " " relative error = 2.4231999106110086000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999989872154 " " Order of pole (three term test) = 22.49998576774941 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.300000000000001 " " y[1] (analytic) = 67.60752632246738 " " y[1] (numeric) = 67.60752632246576 " " absolute error = 1.6200374375330284000000000000E-12 " " relative error = 2.3962382972066476000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999990650826 " " Order of pole (three term test) = 22.49998632580394 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.310000000000001 " " y[1] (analytic) = 68.97325196897296 " " y[1] (numeric) = 68.97325196897127 " " absolute error = 1.6910917111090384000000000000E-12 " " relative error = 2.451808002136483000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999136962 " " Order of pole (three term test) = 22.499986861976833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.320000000000001 " " y[1] (analytic) = 70.36656783592176 " " y[1] (numeric) = 70.36656783592 " " absolute error = 1.7621459846850485000000000000E-12 " " relative error = 2.504237507780623000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999203315 " " Order of pole (three term test) = 22.499987377126086 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.330000000000001 " " y[1] (analytic) = 71.78803126823827 " " y[1] (numeric) = 71.78803126823651 " " absolute error = 1.7621459846850485000000000000E-12 " " relative error = 2.4546514976859218000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999992645675 " " Order of pole (three term test) = 22.499987872076055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.340000000000001 " " y[1] (analytic) = 73.2382108702486 " " y[1] (numeric) = 73.23821087024683 " " absolute error = 1.7621459846850485000000000000E-12 " " relative error = 2.406047285626527200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999993211103 " " Order of pole (three term test) = 22.499988347618753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.350000000000001 " " y[1] (analytic) = 74.71768673312957 " " y[1] (numeric) = 74.71768673312775 " " absolute error = 1.8189894035458565000000000000E-12 " " relative error = 2.4344830294904227000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999993733057 " " Order of pole (three term test) = 22.499988804515155 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.360000000000001 " " y[1] (analytic) = 76.22705066695292 " " y[1] (numeric) = 76.22705066695102 " " absolute error = 1.9042545318370685000000000000E-12 " " relative error = 2.498134868364557000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999421488 " " Order of pole (three term test) = 22.4999892434964 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.370000000000001 " " y[1] (analytic) = 77.7669064374172 " " y[1] (numeric) = 77.7669064374153 " " absolute error = 1.9042545318370685000000000000E-12 " " relative error = 2.4486695164729413000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999994659663 " " Order of pole (three term test) = 22.499989665264938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.380000000000001 " " y[1] (analytic) = 79.33787000736237 " " y[1] (numeric) = 79.33787000736045 " " absolute error = 1.9184653865522705000000000000E-12 " " relative error = 2.4180954018229145000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999507025 " " Order of pole (three term test) = 22.4999900704957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.390000000000001 " " y[1] (analytic) = 80.94056978316291 " " y[1] (numeric) = 80.94056978316092 " " absolute error = 1.9895196601282805000000000000E-12 " " relative error = 2.4580005619655723000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999995449265 " " Order of pole (three term test) = 22.499990459837125 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.400000000000001 " " y[1] (analytic) = 82.57564686609871 " " y[1] (numeric) = 82.57564686609665 " " absolute error = 2.0605739337042905000000000000E-12 " " relative error = 2.495377283626531200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999995799144 " " Order of pole (three term test) = 22.499990833912264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.410000000000001 " " y[1] (analytic) = 84.24375530880418 " " y[1] (numeric) = 84.24375530880212 " " absolute error = 2.0605739337042905000000000000E-12 " " relative error = 2.4459663819010014000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999996122113 " " Order of pole (three term test) = 22.4999911933197 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.420000000000001 " " y[1] (analytic) = 85.94556237689822 " " y[1] (numeric) = 85.94556237689616 " " absolute error = 2.0605739337042905000000000000E-12 " " relative error = 2.3975338303890872000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999996420266 " " Order of pole (three term test) = 22.499991538634582 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.430000000000001 " " y[1] (analytic) = 87.68174881589921 " " y[1] (numeric) = 87.68174881589707 " " absolute error = 2.1458390619955026000000000000E-12 " " relative error = 2.447304132244223800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999996695485 " " Order of pole (three term test) = 22.49999187040946 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.440000000000001 " " y[1] (analytic) = 89.45300912353214 " " y[1] (numeric) = 89.4530091235299 " " absolute error = 2.2453150450019166000000000000E-12 " " relative error = 2.5100497646772270000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999694955 " " Order of pole (three term test) = 22.499992189175273 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.450000000000001 " " y[1] (analytic) = 91.26005182753708 " " y[1] (numeric) = 91.26005182753484 " " absolute error = 2.2453150450019166000000000000E-12 " " relative error = 2.460348202787683000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999997184086 " " Order of pole (three term test) = 22.49999249544209 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.460000000000001 " " y[1] (analytic) = 93.10359976908995 " " y[1] (numeric) = 93.10359976908771 " " absolute error = 2.2453150450019166000000000000E-12 " " relative error = 2.411630753881282800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999997400582 " " Order of pole (three term test) = 22.499992789700013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.470000000000001 " " y[1] (analytic) = 94.98439039194842 " " y[1] (numeric) = 94.98439039194609 " " absolute error = 2.3305801732931286000000000000E-12 " " relative error = 2.4536454502430388000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999760043 " " Order of pole (three term test) = 22.499993072419915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.480000000000001 " " y[1] (analytic) = 96.90317603743911 " " y[1] (numeric) = 96.90317603743668 " " absolute error = 2.4300561562995426000000000000E-12 " " relative error = 2.507715696914491000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999997784922 " " Order of pole (three term test) = 22.49999334405422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.490000000000001 " " y[1] (analytic) = 98.86072424540426 " " y[1] (numeric) = 98.86072424540181 " " absolute error = 2.4442670110147446000000000000E-12 " " relative error = 2.4724348619450573000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999795523 " " Order of pole (three term test) = 22.499993605037588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.500000000000001 " " y[1] (analytic) = 100.85781806122813 " " y[1] (numeric) = 100.85781806122567 " " absolute error = 2.4584778657299466000000000000E-12 " " relative error = 2.437567967450445000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998112435 " " Order of pole (three term test) = 22.49999385578765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5100000000000011 " " y[1] (analytic) = 102.89525634906542 " " y[1] (numeric) = 102.89525634906286 " " absolute error = 2.5579538487363607000000000000E-12 " " relative error = 2.4859784012381186000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998257555 " " Order of pole (three term test) = 22.499994096705663 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5200000000000011 " " y[1] (analytic) = 104.97385411139737 " " y[1] (numeric) = 104.97385411139473 " " absolute error = 2.6432189770275727000000000000E-12 " " relative error = 2.5179784046250325000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998391526 " " Order of pole (three term test) = 22.499994328177145 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5300000000000011 " " y[1] (analytic) = 107.09444281504385 " " y[1] (numeric) = 107.0944428150412 " " absolute error = 2.6432189770275727000000000000E-12 " " relative error = 2.4681196405237493000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998515182 " " Order of pole (three term test) = 22.49999455057249 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5400000000000011 " " y[1] (analytic) = 109.25787072376129 " " y[1] (numeric) = 109.25787072375863 " " absolute error = 2.6574298317427747000000000000E-12 " " relative error = 2.432254824425056000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998629344 " " Order of pole (three term test) = 22.499994764247603 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5500000000000012 " " y[1] (analytic) = 111.46500323755936 " " y[1] (numeric) = 111.46500323755659 " " absolute error = 2.7711166694643910000000000000E-12 " " relative error = 2.4860867437992704000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998734723 " " Order of pole (three term test) = 22.49999496954439 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5600000000000012 " " y[1] (analytic) = 113.71672323887232 " " y[1] (numeric) = 113.71672323886943 " " absolute error = 2.8848035071860070000000000000E-12 " " relative error = 2.5368331279878814000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998832 " " Order of pole (three term test) = 22.499995166791376 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5700000000000012 " " y[1] (analytic) = 116.01393144572391 " " y[1] (numeric) = 116.01393144572103 " " absolute error = 2.8848035071860070000000000000E-12 " " relative error = 2.486600937694829000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999998921804 " " Order of pole (three term test) = 22.499995356304204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5800000000000012 " " y[1] (analytic) = 118.35754677202685 " " y[1] (numeric) = 118.35754677202395 " " absolute error = 2.8990143619012090000000000000E-12 " " relative error = 2.4493701001467313000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999999990047 " " Order of pole (three term test) = 22.49999553838612 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.5900000000000012 " " y[1] (analytic) = 120.74850669516036 " " y[1] (numeric) = 120.74850669515735 " " absolute error = 3.0127011996228250000000000000E-12 " " relative error = 2.4950214972253357000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999081227 " " Order of pole (three term test) = 22.499995713328502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6000000000000012 " " y[1] (analytic) = 123.18776763097348 " " y[1] (numeric) = 123.18776763097036 " " absolute error = 3.126388037344441000000000000E-12 " " relative error = 2.5379046129888333000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999151867 " " Order of pole (three term test) = 22.49999588141129 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6100000000000012 " " y[1] (analytic) = 125.67630531636436 " " y[1] (numeric) = 125.67630531636122 " " absolute error = 3.140598892059643000000000000E-12 " " relative error = 2.49895864153057980000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999921707 " " Order of pole (three term test) = 22.499996042903465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6200000000000012 " " y[1] (analytic) = 128.2151151995882 " " y[1] (numeric) = 128.21511519958506 " " absolute error = 3.154809746774845000000000000E-12 " " relative error = 2.4605599284170646000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999927727 " " Order of pole (three term test) = 22.499996198063442 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6300000000000012 " " y[1] (analytic) = 130.80521283844965 " " y[1] (numeric) = 130.80521283844638 " " absolute error = 3.268496584496461000000000000E-12 " " relative error = 2.4987510157819184000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999332834 " " Order of pole (three term test) = 22.499996347139508 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6400000000000012 " " y[1] (analytic) = 133.44763430653924 " " y[1] (numeric) = 133.44763430653583 " " absolute error = 3.410605131648481000000000000E-12 " " relative error = 2.5557629023337086000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999384126 " " Order of pole (three term test) = 22.499996490370215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6500000000000012 " " y[1] (analytic) = 136.14343660767685 " " y[1] (numeric) = 136.14343660767344 " " absolute error = 3.410605131648481000000000000E-12 " " relative error = 2.5051557508988020000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999431474 " " Order of pole (three term test) = 22.499996627984764 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6600000000000013 " " y[1] (analytic) = 138.89369809872755 " " y[1] (numeric) = 138.89369809872412 " " absolute error = 3.439026841078885000000000000E-12 " " relative error = 2.4760135903605773000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999947518 " " Order of pole (three term test) = 22.499996760203373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6700000000000013 " " y[1] (analytic) = 141.69951892095852 " " y[1] (numeric) = 141.69951892095497 " " absolute error = 3.552713678800501000000000000E-12 " " relative error = 2.5072164717667406000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999951554 " " Order of pole (three term test) = 22.49999688723762 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6800000000000013 " " y[1] (analytic) = 144.56202144011002 " " y[1] (numeric) = 144.56202144010632 " " absolute error = 3.694822225952521000000000000E-12 " " relative error = 2.555873381642793700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999955278 " " Order of pole (three term test) = 22.499997009290773 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.6900000000000013 " " y[1] (analytic) = 147.48235069535673 " " y[1] (numeric) = 147.48235069535303 " " absolute error = 3.694822225952521000000000000E-12 " " relative error = 2.505263991611199000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999958717 " " Order of pole (three term test) = 22.499997126558164 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7000000000000013 " " y[1] (analytic) = 150.46167485733912 " " y[1] (numeric) = 150.46167485733542 " " absolute error = 3.694822225952521000000000000E-12 " " relative error = 2.45565671753673000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999618908 " " Order of pole (three term test) = 22.499997239227426 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7100000000000013 " " y[1] (analytic) = 153.50118569544702 " " y[1] (numeric) = 153.50118569544318 " " absolute error = 3.836930773104541000000000000E-12 " " relative error = 2.499609860159111300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999964821 " " Order of pole (three term test) = 22.49999734747887 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7200000000000013 " " y[1] (analytic) = 156.60209905454286 " " y[1] (numeric) = 156.60209905453888 " " absolute error = 3.979039320256561000000000000E-12 " " relative error = 2.5408595058937900000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999967526 " " Order of pole (three term test) = 22.49999745148571 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7300000000000013 " " y[1] (analytic) = 159.7656553413162 " " y[1] (numeric) = 159.76565534131223 " " absolute error = 3.979039320256561000000000000E-12 " " relative error = 2.4905473656124147000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999970022 " " Order of pole (three term test) = 22.49999755141439 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7400000000000013 " " y[1] (analytic) = 162.99312002046324 " " y[1] (numeric) = 162.99312002045923 " " absolute error = 4.007461029686965000000000000E-12 " " relative error = 2.458668825520882200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999972327 " " Order of pole (three term test) = 22.499997647424802 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7500000000000013 " " y[1] (analytic) = 166.28578412088916 " " y[1] (numeric) = 166.28578412088498 " " absolute error = 4.177991286269389000000000000E-12 " " relative error = 2.512536659917966600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999744543 " " Order of pole (three term test) = 22.499997739670594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7600000000000013 " " y[1] (analytic) = 169.6449647521368 " " y[1] (numeric) = 169.64496475213244 " " absolute error = 4.348521542851813000000000000E-12 " " relative error = 2.563307168712793000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999976419 " " Order of pole (three term test) = 22.49999782829938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7700000000000014 " " y[1] (analytic) = 173.07200563124815 " " y[1] (numeric) = 173.07200563124377 " " absolute error = 4.376943252282217000000000000E-12 " " relative error = 2.528972398695055000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999782319 " " Order of pole (three term test) = 22.499997913452976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7800000000000014 " " y[1] (analytic) = 176.5682776202695 " " y[1] (numeric) = 176.56827762026512 " " absolute error = 4.376943252282217000000000000E-12 " " relative error = 2.4788955928399206000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999799055 " " Order of pole (three term test) = 22.499997995267655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.7900000000000014 " " y[1] (analytic) = 180.13517927461422 " " y[1] (numeric) = 180.13517927460967 " " absolute error = 4.547473508864641000000000000E-12 " " relative error = 2.524478298562695000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999814498 " " Order of pole (three term test) = 22.499998073874334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8000000000000014 " " y[1] (analytic) = 183.7741374025032 " " y[1] (numeric) = 183.77413740249847 " " absolute error = 4.718003765447065000000000000E-12 " " relative error = 2.5672838583993274000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999828765 " " Order of pole (three term test) = 22.499998149398806 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8100000000000014 " " y[1] (analytic) = 187.48660763570751 " " y[1] (numeric) = 187.48660763570277 " " absolute error = 4.746425474877469000000000000E-12 " " relative error = 2.5316077424046880000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999984193 " " Order of pole (three term test) = 22.49999822196191 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8200000000000014 " " y[1] (analytic) = 191.27407501182088 " " y[1] (numeric) = 191.27407501181614 " " absolute error = 4.746425474877469000000000000E-12 " " relative error = 2.48147872344129020000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999985408 " " Order of pole (three term test) = 22.499998291679788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8300000000000014 " " y[1] (analytic) = 195.13805456829417 " " y[1] (numeric) = 195.13805456828922 " " absolute error = 4.945377440890297300000000000E-12 " " relative error = 2.5342967837980170000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999865302 " " Order of pole (three term test) = 22.499998358663976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8400000000000014 " " y[1] (analytic) = 199.08009194847017 " " y[1] (numeric) = 199.08009194846505 " " absolute error = 5.115907697472721000000000000E-12 " " relative error = 2.5697736259821100000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999875658 " " Order of pole (three term test) = 22.499998423021687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8500000000000014 " " y[1] (analytic) = 203.10176401986203 " " y[1] (numeric) = 203.1017640198569 " " absolute error = 5.144329406903125000000000000E-12 " " relative error = 2.532882681609818000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999885222 " " Order of pole (three term test) = 22.49999848485589 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8600000000000014 " " y[1] (analytic) = 207.20467950492144 " " y[1] (numeric) = 207.20467950491627 " " absolute error = 5.172751116333529000000000000E-12 " " relative error = 2.496445123099002000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999989405 " " Order of pole (three term test) = 22.49999854426554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8700000000000014 " " y[1] (analytic) = 211.3904796245489 " " y[1] (numeric) = 211.39047962454353 " " absolute error = 5.3717030823463570000000000000E-12 " " relative error = 2.541128196448133000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999902184 " " Order of pole (three term test) = 22.4999986013457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8800000000000014 " " y[1] (analytic) = 215.6608387546035 " " y[1] (numeric) = 215.66083875459793 " " absolute error = 5.5706550483591850000000000000E-12 " " relative error = 2.5830628687751380000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999990971 " " Order of pole (three term test) = 22.49999865618772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.8900000000000015 " " y[1] (analytic) = 220.01746509567593 " " y[1] (numeric) = 220.01746509567036 " " absolute error = 5.5706550483591850000000000000E-12 " " relative error = 2.531914930451885600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999916658 " " Order of pole (three term test) = 22.49999870887936 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9000000000000015 " " y[1] (analytic) = 224.46210135639194 " " y[1] (numeric) = 224.46210135638637 " " absolute error = 5.5706550483591850000000000000E-12 " " relative error = 2.481779781395846000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999923062 " " Order of pole (three term test) = 22.49999875950492 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9100000000000015 " " y[1] (analytic) = 228.99652545051865 " " y[1] (numeric) = 228.99652545051285 " " absolute error = 5.7980287238024180000000000000E-12 " " relative error = 2.531928688610278000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999928976 " " Order of pole (three term test) = 22.499998808145435 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9200000000000015 " " y[1] (analytic) = 233.62255120815325 " " y[1] (numeric) = 233.62255120814726 " " absolute error = 5.9969806898152460000000000000E-12 " " relative error = 2.5669528300254070000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999934436 " " Order of pole (three term test) = 22.499998854878715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9300000000000015 " " y[1] (analytic) = 238.34202910127982 " " y[1] (numeric) = 238.3420291012738 " " absolute error = 6.0254023992456500000000000000E-12 " " relative error = 2.5280486290922893000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999939476 " " Order of pole (three term test) = 22.499998899779563 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9400000000000015 " " y[1] (analytic) = 243.156846983983 " " y[1] (numeric) = 243.15684698397695 " " absolute error = 6.0538241086760540000000000000E-12 " " relative error = 2.4896786513582428000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999944128 " " Order of pole (three term test) = 22.499998942919827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9500000000000015 " " y[1] (analytic) = 248.06893084761447 " " y[1] (numeric) = 248.06893084760821 " " absolute error = 6.252776074688882000000000000E-12 " " relative error = 2.5205800876893690000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999994843 " " Order of pole (three term test) = 22.49999898436853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9600000000000015 " " y[1] (analytic) = 253.08024559121486 " " y[1] (numeric) = 253.08024559120835 " " absolute error = 6.508571459562518000000000000E-12 " " relative error = 2.5717421936105660000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999952385 " " Order of pole (three term test) = 22.499999024192004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9700000000000015 " " y[1] (analytic) = 258.1927958074998 " " y[1] (numeric) = 258.19279580749327 " " absolute error = 6.536993168992922000000000000E-12 " " relative error = 2.531826323251362700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999956055 " " Order of pole (three term test) = 22.49999906245399 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9800000000000015 " " y[1] (analytic) = 263.40862658472423 " " y[1] (numeric) = 263.4086265847177 " " absolute error = 6.536993168992922000000000000E-12 " " relative error = 2.481692894325284000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999995943 " " Order of pole (three term test) = 22.499999099215692 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 1.9900000000000015 " " y[1] (analytic) = 268.7298243247446 " " y[1] (numeric) = 268.7298243247378 " " absolute error = 6.764366844436154000000000000E-12 " " relative error = 2.51716267869911000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999996255 " " Order of pole (three term test) = 22.499999134535948 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0000000000000013 " " y[1] (analytic) = 274.15851757760674 " " y[1] (numeric) = 274.1585175776 " " absolute error = 6.764366844436154000000000000E-12 " " relative error = 2.4673196018873816000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999965428 " " Order of pole (three term test) = 22.49999916847128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.010000000000001 " " y[1] (analytic) = 279.6968778929956 " " y[1] (numeric) = 279.6968778929888 " " absolute error = 6.764366844436154000000000000E-12 " " relative error = 2.4184634792469925000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999968087 " " Order of pole (three term test) = 22.499999201075987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.020000000000001 " " y[1] (analytic) = 285.3471206888831 " " y[1] (numeric) = 285.34712068887626 " " absolute error = 6.821210263296962000000000000E-12 " " relative error = 2.390495564430172900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999970537 " " Order of pole (three term test) = 22.499999232402246 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0300000000000007 " " y[1] (analytic) = 291.1115061377251 " " y[1] (numeric) = 291.11150613771827 " " absolute error = 6.821210263296962000000000000E-12 " " relative error = 2.3431606513243902000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999972808 " " Order of pole (three term test) = 22.499999262500186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0400000000000005 " " y[1] (analytic) = 296.99234007056066 " " y[1] (numeric) = 296.99234007055384 " " absolute error = 6.821210263296962000000000000E-12 " " relative error = 2.296763028190003000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999974898 " " Order of pole (three term test) = 22.499999291417968 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0500000000000003 " " y[1] (analytic) = 302.9919748993752 " " y[1] (numeric) = 302.9919748993683 " " absolute error = 6.87805368215777000000000000E-12 " " relative error = 2.2700448368119314000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999976824 " " Order of pole (three term test) = 22.499999319201866 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.06 " " y[1] (analytic) = 309.11281055809627 " " y[1] (numeric) = 309.1128105580894 " " absolute error = 6.87805368215777000000000000E-12 " " relative error = 2.225094996787612000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999978606 " " Order of pole (three term test) = 22.499999345896345 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.07 " " y[1] (analytic) = 315.35729546259967 " " y[1] (numeric) = 315.3572954625928 " " absolute error = 6.87805368215777000000000000E-12 " " relative error = 2.1810352197713734000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999998025 " " Order of pole (three term test) = 22.499999371544114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0799999999999996 " " y[1] (analytic) = 321.72792749010813 " " y[1] (numeric) = 321.72792749010125 " " absolute error = 6.87805368215777000000000000E-12 " " relative error = 2.1378478815362534000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999998177 " " Order of pole (three term test) = 22.49999939618622 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.0899999999999994 " " y[1] (analytic) = 328.2272549783755 " " y[1] (numeric) = 328.22725497836865 " " absolute error = 6.87805368215777000000000000E-12 " " relative error = 2.095515706826635800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999983175 " " Order of pole (three term test) = 22.499999419862103 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.099999999999999 " " y[1] (analytic) = 334.85787774505604 " " y[1] (numeric) = 334.8578777450491 " " absolute error = 6.934897101018578000000000000E-12 " " relative error = 2.0709971489153556000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999984462 " " Order of pole (three term test) = 22.499999442609628 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.109999999999999 " " y[1] (analytic) = 341.62244812766573 " " y[1] (numeric) = 341.6224481276588 " " absolute error = 6.934897101018578000000000000E-12 " " relative error = 2.0299887021554797000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999985664 " " Order of pole (three term test) = 22.499999464465226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1199999999999988 " " y[1] (analytic) = 348.5236720445533 " " y[1] (numeric) = 348.5236720445463 " " absolute error = 6.991740519879386000000000000E-12 " " relative error = 2.0061020472048743000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999998676 " " Order of pole (three term test) = 22.49999948546384 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1299999999999986 " " y[1] (analytic) = 355.5643100773028 " " y[1] (numeric) = 355.56431007729583 " " absolute error = 6.991740519879386000000000000E-12 " " relative error = 1.9663786048603470000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999987785 " " Order of pole (three term test) = 22.499999505639092 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1399999999999983 " " y[1] (analytic) = 362.747178575004 " " y[1] (numeric) = 362.74717857499695 " " absolute error = 7.048583938740194000000000000E-12 " " relative error = 1.943111995089655000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999988715 " " Order of pole (three term test) = 22.499999525023252 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.149999999999998 " " y[1] (analytic) = 370.0751507808287 " " y[1] (numeric) = 370.0751507808216 " " absolute error = 7.105427357601002000000000000E-12 " " relative error = 1.919995801557906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999998959 " " Order of pole (three term test) = 22.499999543647363 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.159999999999998 " " y[1] (analytic) = 377.5511579813669 " " y[1] (numeric) = 377.5511579813598 " " absolute error = 7.105427357601002000000000000E-12 " " relative error = 1.8819773711173923000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999990385 " " Order of pole (three term test) = 22.499999561541202 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1699999999999977 " " y[1] (analytic) = 385.17819067918015 " " y[1] (numeric) = 385.17819067917304 " " absolute error = 7.105427357601002000000000000E-12 " " relative error = 1.8447117540772712000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999991124 " " Order of pole (three term test) = 22.499999578733423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1799999999999975 " " y[1] (analytic) = 392.9592997890428 " " y[1] (numeric) = 392.95929978903564 " " absolute error = 7.16227077646181000000000000E-12 " " relative error = 1.822649516198451300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999991804 " " Order of pole (three term test) = 22.499999595251516 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.1899999999999973 " " y[1] (analytic) = 400.8975978583482 " " y[1] (numeric) = 400.89759785834104 " " absolute error = 7.16227077646181000000000000E-12 " " relative error = 1.7865586660343377000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999992448 " " Order of pole (three term test) = 22.499999611121943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.199999999999997 " " y[1] (analytic) = 408.9962603121695 " " y[1] (numeric) = 408.99626031216235 " " absolute error = 7.16227077646181000000000000E-12 " " relative error = 1.7511824609337875000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999993017 " " Order of pole (three term test) = 22.499999626370062 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.209999999999997 " " y[1] (analytic) = 417.2585267234719 " " y[1] (numeric) = 417.2585267234647 " " absolute error = 7.219114195322618000000000000E-12 " " relative error = 1.730129819517604000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999993558 " " Order of pole (three term test) = 22.499999641020306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2199999999999966 " " y[1] (analytic) = 425.68770210898487 " " y[1] (numeric) = 425.6877021089776 " " absolute error = 7.275957614183426000000000000E-12 " " relative error = 1.7092242923946696000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999994058 " " Order of pole (three term test) = 22.499999655096097 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2299999999999964 " " y[1] (analytic) = 434.2871582512531 " " y[1] (numeric) = 434.2871582512458 " " absolute error = 7.332801033044234000000000000E-12 " " relative error = 1.688468308059412000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999994507 " " Order of pole (three term test) = 22.49999966861997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.239999999999996 " " y[1] (analytic) = 443.06033504739446 " " y[1] (numeric) = 443.0603350473871 " " absolute error = 7.332801033044234000000000000E-12 " " relative error = 1.6550344169851808000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999994935 " " Order of pole (three term test) = 22.49999968161357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.249999999999996 " " y[1] (analytic) = 452.0107418851047 " " y[1] (numeric) = 452.01074188509733 " " absolute error = 7.389644451905042000000000000E-12 " " relative error = 1.6348382388185356000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999532 " " Order of pole (three term test) = 22.499999694097678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.259999999999996 " " y[1] (analytic) = 461.14195904645925 " " y[1] (numeric) = 461.1419590464518 " " absolute error = 7.44648787076585000000000000E-12 " " relative error = 1.6147929557664972000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999995678 " " Order of pole (three term test) = 22.49999970609228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2699999999999956 " " y[1] (analytic) = 470.4576391400738 " " y[1] (numeric) = 470.4576391400663 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.5949005107753433000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999601 " " Order of pole (three term test) = 22.499999717616564 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.2799999999999954 " " y[1] (analytic) = 479.9615085621965 " " y[1] (numeric) = 479.961508562189 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.5633193820279712000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999996325 " " Order of pole (three term test) = 22.49999972868898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.289999999999995 " " y[1] (analytic) = 489.6573689873162 " " y[1] (numeric) = 489.6573689873087 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.5323636005202282000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999996605 " " Order of pole (three term test) = 22.499999739327237 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.299999999999995 " " y[1] (analytic) = 499.5490988888828 " " y[1] (numeric) = 499.5490988888753 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.5020207836058294000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999686 " " Order of pole (three term test) = 22.499999749548362 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3099999999999947 " " y[1] (analytic) = 509.6406550907484 " " y[1] (numeric) = 509.64065509074084 " " absolute error = 7.560174708487466000000000000E-12 " " relative error = 1.4834324210538650000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999997102 " " Order of pole (three term test) = 22.499999759368713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3199999999999945 " " y[1] (analytic) = 519.9360743499496 " " y[1] (numeric) = 519.936074349942 " " absolute error = 7.617018127348274000000000000E-12 " " relative error = 1.4649912754892908000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999997327 " " Order of pole (three term test) = 22.499999768804003 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3299999999999943 " " y[1] (analytic) = 530.4394749714642 " " y[1] (numeric) = 530.4394749714567 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.4145499427677985000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999754 " " Order of pole (three term test) = 22.499999777869327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.339999999999994 " " y[1] (analytic) = 541.155058455588 " " y[1] (numeric) = 541.1550584555805 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.3865399893037214000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999772 " " Order of pole (three term test) = 22.49999978657919 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.349999999999994 " " y[1] (analytic) = 552.087111178591 " " y[1] (numeric) = 552.0871111785835 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.3590846693755643000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999997902 " " Order of pole (three term test) = 22.49999979494754 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3599999999999937 " " y[1] (analytic) = 563.2400061073251 " " y[1] (numeric) = 563.2400061073176 " " absolute error = 7.503331289626658000000000000E-12 " " relative error = 1.332173000544443000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999806 " " Order of pole (three term test) = 22.49999980298777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3699999999999934 " " y[1] (analytic) = 574.6182045484691 " " y[1] (numeric) = 574.6182045484614 " " absolute error = 7.617018127348274000000000000E-12 " " relative error = 1.3255789787122518000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998207 " " Order of pole (three term test) = 22.499999810712723 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.3799999999999932 " " y[1] (analytic) = 586.2262579331106 " " y[1] (numeric) = 586.2262579331029 " " absolute error = 7.617018127348274000000000000E-12 " " relative error = 1.2993307659407827000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998346 " " Order of pole (three term test) = 22.499999818134786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.389999999999993 " " y[1] (analytic) = 598.0688096373797 " " y[1] (numeric) = 598.0688096373719 " " absolute error = 7.73070496506989000000000000E-12 " " relative error = 1.2926112916266540000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999847 " " Order of pole (three term test) = 22.499999825265817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.399999999999993 " " y[1] (analytic) = 610.1505968398608 " " y[1] (numeric) = 610.150596839853 " " absolute error = 7.73070496506989000000000000E-12 " " relative error = 1.2670158818346414000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998596 " " Order of pole (three term test) = 22.499999832117247 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4099999999999926 " " y[1] (analytic) = 622.4764524165275 " " y[1] (numeric) = 622.4764524165198 " " absolute error = 7.73070496506989000000000000E-12 " " relative error = 1.2419272946082338000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998707 " " Order of pole (three term test) = 22.499999838700028 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4199999999999924 " " y[1] (analytic) = 635.0513068739576 " " y[1] (numeric) = 635.0513068739499 " " absolute error = 7.73070496506989000000000000E-12 " " relative error = 1.217335494217674100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998804 " " Order of pole (three term test) = 22.499999845024686 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.429999999999992 " " y[1] (analytic) = 647.8801903216009 " " y[1] (numeric) = 647.8801903215932 " " absolute error = 7.73070496506989000000000000E-12 " " relative error = 1.1932306436522545000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998893 " " Order of pole (three term test) = 22.499999851101357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.439999999999992 " " y[1] (analytic) = 660.9682344838907 " " y[1] (numeric) = 660.9682344838828 " " absolute error = 7.844391802791506000000000000E-12 " " relative error = 1.1868031462838313000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999998979 " " Order of pole (three term test) = 22.499999856939752 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4499999999999917 " " y[1] (analytic) = 674.3206747530012 " " y[1] (numeric) = 674.3206747529933 " " absolute error = 7.844391802791506000000000000E-12 " " relative error = 1.1633028759892095000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999056 " " Order of pole (three term test) = 22.499999862549227 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4599999999999915 " " y[1] (analytic) = 687.9428522830751 " " y[1] (numeric) = 687.9428522830672 " " absolute error = 7.958078640513122000000000000E-12 " " relative error = 1.1567935641896208000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999128 " " Order of pole (three term test) = 22.49999986793875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4699999999999913 " " y[1] (analytic) = 701.8402161267559 " " y[1] (numeric) = 701.8402161267479 " " absolute error = 7.958078640513122000000000000E-12 " " relative error = 1.1338875227799504000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999192 " " Order of pole (three term test) = 22.49999987311695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.479999999999991 " " y[1] (analytic) = 716.0183254148817 " " y[1] (numeric) = 716.0183254148736 " " absolute error = 8.071765478234738000000000000E-12 " " relative error = 1.1273126946238038000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999926 " " Order of pole (three term test) = 22.499999878092105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.489999999999991 " " y[1] (analytic) = 730.4828515802118 " " y[1] (numeric) = 730.4828515802036 " " absolute error = 8.185452315956354000000000000E-12 " " relative error = 1.120553658206928900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999314 " " Order of pole (three term test) = 22.49999988287218 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.4999999999999907 " " y[1] (analytic) = 745.2395806260752 " " y[1] (numeric) = 745.2395806260669 " " absolute error = 8.29913915367797000000000000E-12 " " relative error = 1.1136202866071433000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999373 " " Order of pole (three term test) = 22.499999887464828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5099999999999905 " " y[1] (analytic) = 760.2944154408498 " " y[1] (numeric) = 760.2944154408408 " " absolute error = 8.981260180007666000000000000E-12 " " relative error = 1.1812871431917547000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999423 " " Order of pole (three term test) = 22.499999891877398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5199999999999902 " " y[1] (analytic) = 775.6533781591942 " " y[1] (numeric) = 775.6533781591851 " " absolute error = 9.094947017729282000000000000E-12 " " relative error = 1.1725530080605988000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999464 " " Order of pole (three term test) = 22.49999989611694 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.52999999999999 " " y[1] (analytic) = 791.3226125709851 " " y[1] (numeric) = 791.322612570976 " " absolute error = 9.094947017729282000000000000E-12 " " relative error = 1.1493349075644449000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999503 " " Order of pole (three term test) = 22.499999900190257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.53999999999999 " " y[1] (analytic) = 807.3083865789133 " " y[1] (numeric) = 807.3083865789042 " " absolute error = 9.094947017729282000000000000E-12 " " relative error = 1.1265765559887768000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999542 " " Order of pole (three term test) = 22.49999990410385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5499999999999896 " " y[1] (analytic) = 823.6170947057285 " " y[1] (numeric) = 823.6170947057193 " " absolute error = 9.208633855450898000000000000E-12 " " relative error = 1.1180722103322863000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999575 " " Order of pole (three term test) = 22.499999907863995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5599999999999894 " " y[1] (analytic) = 840.2552606521335 " " y[1] (numeric) = 840.2552606521243 " " absolute error = 9.208633855450898000000000000E-12 " " relative error = 1.0959329011881405000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999961 " " Order of pole (three term test) = 22.499999911476696 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.569999999999989 " " y[1] (analytic) = 857.2295399063523 " " y[1] (numeric) = 857.229539906343 " " absolute error = 9.322320693172514000000000000E-12 " " relative error = 1.0874941027103344000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999642 " " Order of pole (three term test) = 22.49999991494775 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.579999999999989 " " y[1] (analytic) = 874.5467224064132 " " y[1] (numeric) = 874.5467224064038 " " absolute error = 9.43600753089413000000000000E-12 " " relative error = 1.0789597958734438000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999966 " " Order of pole (three term test) = 22.499999918282693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5899999999999888 " " y[1] (analytic) = 892.213735256215 " " y[1] (numeric) = 892.2137352562056 " " absolute error = 9.43600753089413000000000000E-12 " " relative error = 1.0575949638552037000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999692 " " Order of pole (three term test) = 22.49999992148687 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.5999999999999885 " " y[1] (analytic) = 910.2376454964611 " " y[1] (numeric) = 910.2376454964516 " " absolute error = 9.549694368615746000000000000E-12 " " relative error = 1.0491429810516306000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999714 " " Order of pole (three term test) = 22.499999924565415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6099999999999883 " " y[1] (analytic) = 928.6256629315695 " " y[1] (numeric) = 928.62566293156 " " absolute error = 9.549694368615746000000000000E-12 " " relative error = 1.0283685611776447000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999974 " " Order of pole (three term test) = 22.499999927523245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.619999999999988 " " y[1] (analytic) = 947.3851430136912 " " y[1] (numeric) = 947.3851430136815 " " absolute error = 9.663381206337363000000000000E-12 " " relative error = 1.0200055677037055000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999759 " " Order of pole (three term test) = 22.49999993036511 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.629999999999988 " " y[1] (analytic) = 966.5235897849886 " " y[1] (numeric) = 966.5235897849789 " " absolute error = 9.777068044058979000000000000E-12 " " relative error = 1.0115705552757351000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999775 " " Order of pole (three term test) = 22.499999933095523 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6399999999999877 " " y[1] (analytic) = 986.0486588793531 " " y[1] (numeric) = 986.0486588793432 " " absolute error = 9.890754881780595000000000000E-12 " " relative error = 1.0030696551041877000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999979 " " Order of pole (three term test) = 22.499999935718883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6499999999999875 " " y[1] (analytic) = 1005.96816058476 " " y[1] (numeric) = 1005.96816058475 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 9.9450878382539690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999982 " " Order of pole (three term test) = 22.49999993823939 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6599999999999873 " " y[1] (analytic) = 1026.2900629674884 " " y[1] (numeric) = 1026.2900629674784 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 9.7481619285825040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999822 " " Order of pole (three term test) = 22.499999940661056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.669999999999987 " " y[1] (analytic) = 1047.0224950594538 " " y[1] (numeric) = 1047.0224950594438 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 9.5551354118080530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999836 " " Order of pole (three term test) = 22.499999942987767 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.679999999999987 " " y[1] (analytic) = 1068.173750109929 " " y[1] (numeric) = 1068.173750109919 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 9.3659310748580220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999847 " " Order of pole (three term test) = 22.499999945223248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6899999999999866 " " y[1] (analytic) = 1089.7522889029547 " " y[1] (numeric) = 1089.7522889029447 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 9.1804732335764170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999987 " " Order of pole (three term test) = 22.49999994737108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.6999999999999864 " " y[1] (analytic) = 1111.7667431417658 " " y[1] (numeric) = 1111.7667431417558 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 8.9986877024495640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999875 " " Order of pole (three term test) = 22.499999949434688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.709999999999986 " " y[1] (analytic) = 1134.2259189015879 " " y[1] (numeric) = 1134.2259189015779 " " absolute error = 1.00044417195022100000000000E-11 " " relative error = 8.8205017649312370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999989 " " Order of pole (three term test) = 22.499999951417387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.719999999999986 " " y[1] (analytic) = 1157.1388001521846 " " y[1] (numeric) = 1157.1388001521743 " " absolute error = 1.023181539494544300000000000E-11 " " relative error = 8.8423406021816700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999897 " " Order of pole (three term test) = 22.499999953322337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7299999999999858 " " y[1] (analytic) = 1180.514552351565 " " y[1] (numeric) = 1180.5145523515548 " " absolute error = 1.023181539494544300000000000E-11 " " relative error = 8.6672505430482330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.249999999999999 " " Order of pole (three term test) = 22.49999995515259 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7399999999999856 " " y[1] (analytic) = 1204.36252611229 " " y[1] (numeric) = 1204.3625261122797 " " absolute error = 1.023181539494544300000000000E-11 " " relative error = 8.4956274984526280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999908 " " Order of pole (three term test) = 22.499999956911086 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7499999999999853 " " y[1] (analytic) = 1228.692260941841 " " y[1] (numeric) = 1228.6922609418307 " " absolute error = 1.023181539494544300000000000E-11 " " relative error = 8.3274028169611420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999917 " " Order of pole (three term test) = 22.499999958600625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.759999999999985 " " y[1] (analytic) = 1253.5134890585505 " " y[1] (numeric) = 1253.5134890585402 " " absolute error = 1.023181539494544300000000000E-11 " " relative error = 8.1625092065263950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999992 " " Order of pole (three term test) = 22.49999996022391 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.769999999999985 " " y[1] (analytic) = 1278.8361392846195 " " y[1] (numeric) = 1278.8361392846093 " " absolute error = 1.023181539494544300000000000E-11 " " relative error = 8.0008807075698660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999925 " " Order of pole (three term test) = 22.499999961783555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7799999999999847 " " y[1] (analytic) = 1304.6703410177784 " " y[1] (numeric) = 1304.670341017768 " " absolute error = 1.045918907038867500000000000E-11 " " relative error = 8.0167293925218090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999933 " " Order of pole (three term test) = 22.49999996328205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7899999999999845 " " y[1] (analytic) = 1331.0264282831808 " " y[1] (numeric) = 1331.0264282831702 " " absolute error = 1.068656274583190700000000000E-11 " " relative error = 8.0288133419078140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999936 " " Order of pole (three term test) = 22.499999964721773 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.7999999999999843 " " y[1] (analytic) = 1357.914943867152 " " y[1] (numeric) = 1357.9149438671413 " " absolute error = 1.068656274583190700000000000E-11 " " relative error = 7.8698321968517910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999947 " " Order of pole (three term test) = 22.499999966105058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.809999999999984 " " y[1] (analytic) = 1385.3466435344442 " " y[1] (numeric) = 1385.3466435344333 " " absolute error = 1.091393642127513900000000000E-11 " " relative error = 7.8781267289393640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999995 " " Order of pole (three term test) = 22.499999967434093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.819999999999984 " " y[1] (analytic) = 1413.3325003306848 " " y[1] (numeric) = 1413.3325003306738 " " absolute error = 1.091393642127513900000000000E-11 " " relative error = 7.7221293777094550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999995 " " Order of pole (three term test) = 22.49999996871102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8299999999999836 " " y[1] (analytic) = 1441.8837089717424 " " y[1] (numeric) = 1441.8837089717313 " " absolute error = 1.114131009671837100000000000E-11 " " relative error = 7.7269130841790480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999953 " " Order of pole (three term test) = 22.499999969937885 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8399999999999834 " " y[1] (analytic) = 1471.011690321761 " " y[1] (numeric) = 1471.01169032175 " " absolute error = 1.114131009671837100000000000E-11 " " relative error = 7.573909962796680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999996 " " Order of pole (three term test) = 22.499999971116637 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.849999999999983 " " y[1] (analytic) = 1500.7280959616592 " " y[1] (numeric) = 1500.728095961648 " " absolute error = 1.114131009671837100000000000E-11 " " relative error = 7.4239365056859790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999964 " " Order of pole (three term test) = 22.499999972249167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.859999999999983 " " y[1] (analytic) = 1531.0448128499168 " " y[1] (numeric) = 1531.0448128499054 " " absolute error = 1.136868377216160300000000000E-11 " " relative error = 7.4254415525563310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999964 " " Order of pole (three term test) = 22.499999973337296 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.869999999999983 " " y[1] (analytic) = 1561.9739680775172 " " y[1] (numeric) = 1561.9739680775058 " " absolute error = 1.136868377216160300000000000E-11 " " relative error = 7.2784079661418540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999967 " " Order of pole (three term test) = 22.499999974382753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8799999999999826 " " y[1] (analytic) = 1593.5279337189459 " " y[1] (numeric) = 1593.5279337189343 " " absolute error = 1.159605744760483500000000000E-11 " " relative error = 7.2769715561509940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999997 " " Order of pole (three term test) = 22.49999997538722 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.8899999999999824 " " y[1] (analytic) = 1625.7193317811843 " " y[1] (numeric) = 1625.7193317811727 " " absolute error = 1.159605744760483500000000000E-11 " " relative error = 7.1328778719140060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999972 " " Order of pole (three term test) = 22.499999976352303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.899999999999982 " " y[1] (analytic) = 1658.5610392526823 " " y[1] (numeric) = 1658.5610392526705 " " absolute error = 1.182343112304806700000000000E-11 " " relative error = 7.1287283634586580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999972 " " Order of pole (three term test) = 22.49999997727954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.909999999999982 " " y[1] (analytic) = 1692.0661932543233 " " y[1] (numeric) = 1692.0661932543114 " " absolute error = 1.182343112304806700000000000E-11 " " relative error = 6.9875700904515190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999998 " " Order of pole (three term test) = 22.499999978170425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9199999999999817 " " y[1] (analytic) = 1726.2481962944494 " " y[1] (numeric) = 1726.2481962944373 " " absolute error = 1.205080479849129900000000000E-11 " " relative error = 6.9809224562026830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999986 " " Order of pole (three term test) = 22.499999979026374 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9299999999999815 " " y[1] (analytic) = 1761.1207216300427 " " y[1] (numeric) = 1761.1207216300304 " " absolute error = 1.227817847393453100000000000E-11 " " relative error = 6.9717983117989790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999986 " " Order of pole (three term test) = 22.499999979848763 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9399999999999813 " " y[1] (analytic) = 1796.6977187362106 " " y[1] (numeric) = 1796.6977187361983 " " absolute error = 1.227817847393453100000000000E-11 " " relative error = 6.8337474611872650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999986 " " Order of pole (three term test) = 22.499999980638908 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.949999999999981 " " y[1] (analytic) = 1832.993418886162 " " y[1] (numeric) = 1832.9934188861496 " " absolute error = 1.250555214937776300000000000E-11 " " relative error = 6.8224752039627590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999978 " " Order of pole (three term test) = 22.49999998139806 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.959999999999981 " " y[1] (analytic) = 1870.0223408439062 " " y[1] (numeric) = 1870.0223408438935 " " absolute error = 1.273292582482099500000000000E-11 " " relative error = 6.8089698966242640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999983 " " Order of pole (three term test) = 22.499999982127456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9699999999999807 " " y[1] (analytic) = 1907.7992966719514 " " y[1] (numeric) = 1907.7992966719387 " " absolute error = 1.273292582482099500000000000E-11 " " relative error = 6.6741432639339300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999986 " " Order of pole (three term test) = 22.49999998282824 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9799999999999804 " " y[1] (analytic) = 1946.3393976563284 " " y[1] (numeric) = 1946.3393976563157 " " absolute error = 1.273292582482099500000000000E-11 " " relative error = 6.5419863771720720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999999 " " Order of pole (three term test) = 22.499999983501564 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.9899999999999802 " " y[1] (analytic) = 1985.658060351306 " " y[1] (numeric) = 1985.658060351293 " " absolute error = 1.296029950026422700000000000E-11 " " relative error = 6.5269543427690000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999984148477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 2.99999999999998 " " y[1] (analytic) = 2025.7710127462178 " " y[1] (numeric) = 2025.7710127462046 " " absolute error = 1.31876731757074600000000000E-11 " " relative error = 6.5099525527466760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.49999998477002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.00999999999998 " " y[1] (analytic) = 2066.6943005568687 " " y[1] (numeric) = 2066.694300556855 " " absolute error = 1.364242052659392400000000000E-11 " " relative error = 6.6010829578994760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2499999999999999 " " Order of pole (three term test) = 22.499999985367197 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0199999999999796 " " y[1] (analytic) = 2108.444293644033 " " y[1] (numeric) = 2108.4442936440196 " " absolute error = 1.364242052659392400000000000E-11 " " relative error = 6.4703727614333450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999985940963 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0299999999999794 " " y[1] (analytic) = 2151.037692561621 " " y[1] (numeric) = 2151.0376925616074 " " absolute error = 1.364242052659392400000000000E-11 " " relative error = 6.3422508000533830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999986492224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.039999999999979 " " y[1] (analytic) = 2194.4915352371186 " " y[1] (numeric) = 2194.4915352371045 " " absolute error = 1.409716787748038800000000000E-11 " " relative error = 6.4238880173931350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999998702187 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.049999999999979 " " y[1] (analytic) = 2238.823203786988 " " y[1] (numeric) = 2238.823203786974 " " absolute error = 1.409716787748038800000000000E-11 " " relative error = 6.2966865153241720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999987530746 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0599999999999787 " " y[1] (analytic) = 2284.050431469746 " " y[1] (numeric) = 2284.050431469732 " " absolute error = 1.409716787748038800000000000E-11 " " relative error = 6.1720037715669480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999998801967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0699999999999785 " " y[1] (analytic) = 2330.191309779504 " " y[1] (numeric) = 2330.1913097794895 " " absolute error = 1.455191522836685200000000000E-11 " " relative error = 6.2449444246463340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999988489428 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.0799999999999783 " " y[1] (analytic) = 2377.2642956828054 " " y[1] (numeric) = 2377.264295682791 " " absolute error = 1.455191522836685200000000000E-11 " " relative error = 6.1212862426755140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999988940765 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.089999999999978 " " y[1] (analytic) = 2425.28821900166 " " y[1] (numeric) = 2425.288219001645 " " absolute error = 1.500666257925331600000000000E-11 " " relative error = 6.1875790521221530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999998937441 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.099999999999978 " " y[1] (analytic) = 2474.2822899457224 " " y[1] (numeric) = 2474.282289945707 " " absolute error = 1.54614099301397800000000000E-11 " " relative error = 6.2488463798037190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.49999998979104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1099999999999777 " " y[1] (analytic) = 2524.2661067966333 " " y[1] (numeric) = 2524.266106796618 " " absolute error = 1.54614099301397800000000000E-11 " " relative error = 6.1251109336332040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999019134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1199999999999775 " " y[1] (analytic) = 2575.259663747593 " " y[1] (numeric) = 2575.2596637475776 " " absolute error = 1.54614099301397800000000000E-11 " " relative error = 6.0038256133130620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999990575944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1299999999999772 " " y[1] (analytic) = 2627.2833589013053 " " y[1] (numeric) = 2627.28335890129 " " absolute error = 1.54614099301397800000000000E-11 " " relative error = 5.8849419031092010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999094546 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.139999999999977 " " y[1] (analytic) = 2680.3580024294897 " " y[1] (numeric) = 2680.3580024294743 " " absolute error = 1.54614099301397800000000000E-11 " " relative error = 5.7684122479629520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.4999999913005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.149999999999977 " " y[1] (analytic) = 2734.5048248972294 " " y[1] (numeric) = 2734.5048248972134 " " absolute error = 1.591615728102624400000000000E-11 " " relative error = 5.8204897413645710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999164161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1599999999999766 " " y[1] (analytic) = 2789.7454857554785 " " y[1] (numeric) = 2789.745485755462 " " absolute error = 1.637090463191270800000000000E-11 " " relative error = 5.8682430764752640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999991969343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1699999999999764 " " y[1] (analytic) = 2846.1020820051317 " " y[1] (numeric) = 2846.1020820051153 " " absolute error = 1.637090463191270800000000000E-11 " " relative error = 5.7520440800138480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999992284227 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.179999999999976 " " y[1] (analytic) = 2903.5971570361207 " " y[1] (numeric) = 2903.5971570361044 " " absolute error = 1.637090463191270800000000000E-11 " " relative error = 5.6381459777373160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999258678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.189999999999976 " " y[1] (analytic) = 2962.253709645069 " " y[1] (numeric) = 2962.253709645053 " " absolute error = 1.637090463191270800000000000E-11 " " relative error = 5.5265032088943630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999992877452 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.1999999999999758 " " y[1] (analytic) = 3022.095203235119 " " y[1] (numeric) = 3022.095203235102 " " absolute error = 1.682565198279917200000000000E-11 " " relative error = 5.5675453125326780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999315673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2099999999999755 " " y[1] (analytic) = 3083.145575201602 " " y[1] (numeric) = 3083.145575201585 " " absolute error = 1.682565198279917200000000000E-11 " " relative error = 5.4573005303841260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999342506 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2199999999999753 " " y[1] (analytic) = 3145.4292465073213 " " y[1] (numeric) = 3145.4292465073045 " " absolute error = 1.682565198279917200000000000E-11 " " relative error = 5.3492387410978470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999993682863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.229999999999975 " " y[1] (analytic) = 3208.9711314512597 " " y[1] (numeric) = 3208.9711314512424 " " absolute error = 1.728039933368563700000000000E-11 " " relative error = 5.3850279811867820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999993930565 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.239999999999975 " " y[1] (analytic) = 3273.7966476346305 " " y[1] (numeric) = 3273.7966476346132 " " absolute error = 1.728039933368563700000000000E-11 " " relative error = 5.2783972841352240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999994168554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2499999999999747 " " y[1] (analytic) = 3339.9317261282595 " " y[1] (numeric) = 3339.9317261282417 " " absolute error = 1.7735146684572100000000000E-11 " " relative error = 5.3100327009172630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999994397207 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2599999999999745 " " y[1] (analytic) = 3407.4028218453564 " " y[1] (numeric) = 3407.402821845338 " " absolute error = 1.818989403545856500000000000E-11 " " relative error = 5.3383456510749180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999994616893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2699999999999743 " " y[1] (analytic) = 3476.2369241238343 " " y[1] (numeric) = 3476.236924123816 " " absolute error = 1.818989403545856500000000000E-11 " " relative error = 5.2326393259410030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999994827967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.279999999999974 " " y[1] (analytic) = 3546.461567522406 " " y[1] (numeric) = 3546.461567522387 " " absolute error = 1.86446413863450300000000000E-11 " " relative error = 5.2572517793757920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999503077 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.289999999999974 " " y[1] (analytic) = 3618.104842834771 " " y[1] (numeric) = 3618.104842834752 " " absolute error = 1.86446413863450300000000000E-11 " " relative error = 5.1531512203878060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.49999999522561 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.2999999999999736 " " y[1] (analytic) = 3691.195408326311 " " y[1] (numeric) = 3691.1954083262917 " " absolute error = 1.909938873723149300000000000E-11 " " relative error = 5.1743098439461050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999995412814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3099999999999734 " " y[1] (analytic) = 3765.762501197776 " " y[1] (numeric) = 3765.762501197757 " " absolute error = 1.909938873723149300000000000E-11 " " relative error = 5.0718516452263120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999995592688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.319999999999973 " " y[1] (analytic) = 3841.835949280557 " " y[1] (numeric) = 3841.8359492805375 " " absolute error = 1.955413608811795700000000000E-11 " " relative error = 5.0897894512595650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999995765496 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.329999999999973 " " y[1] (analytic) = 3919.446182968212 " " y[1] (numeric) = 3919.4461829681923 " " absolute error = 1.955413608811795700000000000E-11 " " relative error = 4.9890048683637060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999593153 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3399999999999728 " " y[1] (analytic) = 3998.6242473890334 " " y[1] (numeric) = 3998.6242473890134 " " absolute error = 2.00088834390044200000000000E-11 " " relative error = 5.003941906286781000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999996091063 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3499999999999726 " " y[1] (analytic) = 4079.4018148245113 " " y[1] (numeric) = 4079.401814824491 " " absolute error = 2.046363078989088500000000000E-11 " " relative error = 5.0163312462935690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999624433 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3599999999999723 " " y[1] (analytic) = 4161.811197378669 " " y[1] (numeric) = 4161.811197378648 " " absolute error = 2.09183781407773500000000000E-11 " " relative error = 5.0262679272795610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999996391594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.369999999999972 " " y[1] (analytic) = 4245.885359903333 " " y[1] (numeric) = 4245.885359903312 " " absolute error = 2.09183781407773500000000000E-11 " " relative error = 4.9267411547007955000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999653308 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.379999999999972 " " y[1] (analytic) = 4331.657933184519 " " y[1] (numeric) = 4331.657933184497 " " absolute error = 2.182787284255027800000000000E-11 " " relative error = 5.0391497157078170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999996669022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3899999999999717 " " y[1] (analytic) = 4419.163227395186 " " y[1] (numeric) = 4419.1632273951645 " " absolute error = 2.182787284255027800000000000E-11 " " relative error = 4.9393678665760465000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999679963 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.3999999999999715 " " y[1] (analytic) = 4508.436245819775 " " y[1] (numeric) = 4508.436245819752 " " absolute error = 2.273736754432320600000000000E-11 " " relative error = 5.0432935733327300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999996925126 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4099999999999713 " " y[1] (analytic) = 4599.512698855975 " " y[1] (numeric) = 4599.512698855952 " " absolute error = 2.273736754432320600000000000E-11 " " relative error = 4.9434296702732480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999997045684 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.419999999999971 " " y[1] (analytic) = 4692.429018299372 " " y[1] (numeric) = 4692.429018299349 " " absolute error = 2.273736754432320600000000000E-11 " " relative error = 4.8455432049483993000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999997161527 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.429999999999971 " " y[1] (analytic) = 4787.222371916643 " " y[1] (numeric) = 4787.2223719166195 " " absolute error = 2.364686224609613400000000000E-11 " " relative error = 4.939578822328390400000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999997272827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4399999999999706 " " y[1] (analytic) = 4883.930678313163 " " y[1] (numeric) = 4883.93067831314 " " absolute error = 2.364686224609613400000000000E-11 " " relative error = 4.8417686088581840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999997379756 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4499999999999704 " " y[1] (analytic) = 4982.592622100952 " " y[1] (numeric) = 4982.592622100929 " " absolute error = 2.364686224609613400000000000E-11 " " relative error = 4.7458951673486880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999997482497 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.45999999999997 " " y[1] (analytic) = 5083.247669373036 " " y[1] (numeric) = 5083.247669373012 " " absolute error = 2.364686224609613400000000000E-11 " " relative error = 4.651920147147330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999997581213 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.46999999999997 " " y[1] (analytic) = 5185.936083490408 " " y[1] (numeric) = 5185.936083490384 " " absolute error = 2.455635694786906200000000000E-11 " " relative error = 4.7351831091873664000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999997676056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.47999999999997 " " y[1] (analytic) = 5290.698941187913 " " y[1] (numeric) = 5290.698941187888 " " absolute error = 2.54658516496419900000000000E-11 " " relative error = 4.8133246538356580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999997767176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4899999999999696 " " y[1] (analytic) = 5397.578149005486 " " y[1] (numeric) = 5397.57814900546 " " absolute error = 2.63753463514149200000000000E-11 " " relative error = 4.8865149560223836000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999785473 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.4999999999999694 " " y[1] (analytic) = 5506.616460051330 " " y[1] (numeric) = 5506.616460051302 " " absolute error = 2.728484105318784700000000000E-11 " " relative error = 4.9549194593686150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999997938843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.509999999999969 " " y[1] (analytic) = 5617.857491103724 " " y[1] (numeric) = 5617.857491103697 " " absolute error = 2.728484105318784700000000000E-11 " " relative error = 4.8568054808074660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999998019668 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.519999999999969 " " y[1] (analytic) = 5731.345740058327 " " y[1] (numeric) = 5731.345740058298 " " absolute error = 2.819433575496077500000000000E-11 " " relative error = 4.9193220988049910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999809732 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5299999999999687 " " y[1] (analytic) = 5847.126603727914 " " y[1] (numeric) = 5847.126603727886 " " absolute error = 2.819433575496077500000000000E-11 " " relative error = 4.8219129951769990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998171923 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5399999999999685 " " y[1] (analytic) = 5965.246396001720 " " y[1] (numeric) = 5965.246396001691 " " absolute error = 2.819433575496077500000000000E-11 " " relative error = 4.726432721011890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998243602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5499999999999683 " " y[1] (analytic) = 6085.752366371606 " " y[1] (numeric) = 6085.7523663715765 " " absolute error = 2.910383045673370400000000000E-11 " " relative error = 4.7822896339907667000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998312468 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.559999999999968 " " y[1] (analytic) = 6208.692718832486 " " y[1] (numeric) = 6208.692718832457 " " absolute error = 2.910383045673370400000000000E-11 " " relative error = 4.6875939549165724000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998378634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.569999999999968 " " y[1] (analytic) = 6334.116631164574 " " y[1] (numeric) = 6334.116631164544 " " absolute error = 3.00133251585066300000000000E-11 " " relative error = 4.7383600438990440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999998442217 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5799999999999677 " " y[1] (analytic) = 6462.074274605141 " " y[1] (numeric) = 6462.074274605111 " " absolute error = 3.00133251585066300000000000E-11 " " relative error = 4.644534228963280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999998503295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5899999999999674 " " y[1] (analytic) = 6592.616833917690 " " y[1] (numeric) = 6592.616833917660 " " absolute error = 3.00133251585066300000000000E-11 " " relative error = 4.5525662896247976000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999856198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.5999999999999672 " " y[1] (analytic) = 6725.796527866535 " " y[1] (numeric) = 6725.796527866504 " " absolute error = 3.09228198602795600000000000E-11 " " relative error = 4.5976442689217767000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999861837 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.609999999999967 " " y[1] (analytic) = 6861.66663010501 " " y[1] (numeric) = 6861.666630104978 " " absolute error = 3.18323145620524900000000000E-11 " " relative error = 4.6391520133593744000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999998672546 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.619999999999967 " " y[1] (analytic) = 7000.281490485634 " " y[1] (numeric) = 7000.281490485602 " " absolute error = 3.18323145620524900000000000E-11 " " relative error = 4.5472906489999115000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999998724594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6299999999999666 " " y[1] (analytic) = 7141.6965568007845 " " y[1] (numeric) = 7141.696556800752 " " absolute error = 3.274180926382541700000000000E-11 " " relative error = 4.5845982118417720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.4999999987746 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6399999999999664 " " y[1] (analytic) = 7285.968396962545 " " y[1] (numeric) = 7285.968396962512 " " absolute error = 3.274180926382541700000000000E-11 " " relative error = 4.49381708510775140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998822652 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.649999999999966 " " y[1] (analytic) = 7433.154721630630 " " y[1] (numeric) = 7433.154721630597 " " absolute error = 3.365130396559834500000000000E-11 " " relative error = 4.52719003247334160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998868812 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.659999999999966 " " y[1] (analytic) = 7583.31440729742 " " y[1] (numeric) = 7583.3144072973855 " " absolute error = 3.45607986673712730000000000E-11 " " relative error = 4.557479330424890600000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999998913164 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6699999999999657 " " y[1] (analytic) = 7736.507519839335 " " y[1] (numeric) = 7736.5075198393 " " absolute error = 3.5470293369144200000000000E-11 " " relative error = 4.5847940143772810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999998955783 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6799999999999655 " " y[1] (analytic) = 7892.795338543994 " " y[1] (numeric) = 7892.795338543959 " " absolute error = 3.5470293369144200000000000E-11 " " relative error = 4.49400901046136950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999899673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.6899999999999653 " " y[1] (analytic) = 8052.240380622746 " " y[1] (numeric) = 8052.240380622710 " " absolute error = 3.63797880709171300000000000E-11 " " relative error = 4.5179709436473110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999903607 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.699999999999965 " " y[1] (analytic) = 8214.906426218382 " " y[1] (numeric) = 8214.906426218346 " " absolute error = 3.63797880709171300000000000E-11 " " relative error = 4.4285091251689470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999073864 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.709999999999965 " " y[1] (analytic) = 8380.858543918053 " " y[1] (numeric) = 8380.858543918015 " " absolute error = 3.819877747446298600000000000E-11 " " relative error = 4.5578597078438520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999110184 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7199999999999647 " " y[1] (analytic) = 8550.163116781561 " " y[1] (numeric) = 8550.163116781523 " " absolute error = 3.819877747446298600000000000E-11 " " relative error = 4.4676080389027370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999145068 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7299999999999645 " " y[1] (analytic) = 8722.887868895476 " " y[1] (numeric) = 8722.887868895437 " " absolute error = 3.819877747446298600000000000E-11 " " relative error = 4.3791434727338590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999917859 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7399999999999642 " " y[1] (analytic) = 8899.101892463672 " " y[1] (numeric) = 8899.101892463632 " " absolute error = 4.00177668780088400000000000E-11 " " relative error = 4.49683208053819950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.4999999992108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.749999999999964 " " y[1] (analytic) = 9078.875675445126 " " y[1] (numeric) = 9078.875675445086 " " absolute error = 4.00177668780088400000000000E-11 " " relative error = 4.40778883956320100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999241744 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.759999999999964 " " y[1] (analytic) = 9262.281129750048 " " y[1] (numeric) = 9262.281129750008 " " absolute error = 4.00177668780088400000000000E-11 " " relative error = 4.32050877288462900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.499999999271477 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7699999999999636 " " y[1] (analytic) = 9449.3916200056 " " y[1] (numeric) = 9449.39162000556 " " absolute error = 4.00177668780088400000000000E-11 " " relative error = 4.23495696731268860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999930004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.7799999999999634 " " y[1] (analytic) = 9640.281992902721 " " y[1] (numeric) = 9640.28199290268 " " absolute error = 4.1836756281554700000000000E-11 " " relative error = 4.33978552830252940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999932749 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.789999999999963 " " y[1] (analytic) = 9835.02860713581 " " y[1] (numeric) = 9835.028607135768 " " absolute error = 4.1836756281554700000000000E-11 " " relative error = 4.253852017390170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999353857 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.799999999999963 " " y[1] (analytic) = 10033.709363947217 " " y[1] (numeric) = 10033.709363947173 " " absolute error = 4.365574568510055500000000000E-11 " " relative error = 4.3509079346032180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999379195 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8099999999999627 " " y[1] (analytic) = 10236.403738288776 " " y[1] (numeric) = 10236.403738288733 " " absolute error = 4.365574568510055500000000000E-11 " " relative error = 4.2647541852817250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999403535 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8199999999999625 " " y[1] (analytic) = 10443.192810612856 " " y[1] (numeric) = 10443.19281061281 " " absolute error = 4.54747350886464100000000000E-11 " " relative error = 4.35448582759411300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999426926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8299999999999623 " " y[1] (analytic) = 10654.159299305607 " " y[1] (numeric) = 10654.15929930556 " " absolute error = 4.72937244921922700000000000E-11 " " relative error = 4.43899168048619950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999449397 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.839999999999962 " " y[1] (analytic) = 10869.387593775431 " " y[1] (numeric) = 10869.387593775384 " " absolute error = 4.72937244921922700000000000E-11 " " relative error = 4.35109375612623750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999470983 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.849999999999962 " " y[1] (analytic) = 11088.963788209867 " " y[1] (numeric) = 11088.963788209818 " " absolute error = 4.911271389573812500000000000E-11 " " relative error = 4.428972339864280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999491724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8599999999999617 " " y[1] (analytic) = 11312.975716014407 " " y[1] (numeric) = 11312.975716014358 " " absolute error = 4.911271389573812500000000000E-11 " " relative error = 4.34127281173380560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999511655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8699999999999615 " " y[1] (analytic) = 11541.51298494704 " " y[1] (numeric) = 11541.51298494699 " " absolute error = 4.911271389573812500000000000E-11 " " relative error = 4.2553098506056475000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999530807 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.8799999999999613 " " y[1] (analytic) = 11774.667012962544 " " y[1] (numeric) = 11774.667012962493 " " absolute error = 5.09317032992839800000000000E-11 " " relative error = 4.32553236904398900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.4999999995492 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.889999999999961 " " y[1] (analytic) = 12012.531064780886 " " y[1] (numeric) = 12012.531064780835 " " absolute error = 5.09317032992839800000000000E-11 " " relative error = 4.2398810895572910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.49999999956688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.899999999999961 " " y[1] (analytic) = 12255.200289194356 " " y[1] (numeric) = 12255.200289194305 " " absolute error = 5.09317032992839800000000000E-11 " " relative error = 4.15592581903303840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999583856 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9099999999999606 " " y[1] (analytic) = 12502.771757128354 " " y[1] (numeric) = 12502.771757128301 " " absolute error = 5.27506927028298400000000000E-11 " " relative error = 4.219119866181229600000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999600178 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9199999999999604 " " y[1] (analytic) = 12755.344500471048 " " y[1] (numeric) = 12755.344500470996 " " absolute error = 5.27506927028298400000000000E-11 " " relative error = 4.13557569541785240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999615852 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.92999999999996 " " y[1] (analytic) = 13013.01955168746 " " y[1] (numeric) = 13013.019551687405 " " absolute error = 5.456968210637569000000000000E-11 " " relative error = 4.1934680793820356000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999630912 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.93999999999996 " " y[1] (analytic) = 13275.899984233785 " " y[1] (numeric) = 13275.899984233729 " " absolute error = 5.63886715099215500000000000E-11 " " relative error = 4.24744624295811950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999964539 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9499999999999598 " " y[1] (analytic) = 13544.090953788163 " " y[1] (numeric) = 13544.090953788107 " " absolute error = 5.63886715099215500000000000E-11 " " relative error = 4.16334117234720250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999659295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9599999999999596 " " y[1] (analytic) = 13817.699740314345 " " y[1] (numeric) = 13817.699740314287 " " absolute error = 5.82076609134674100000000000E-11 " " relative error = 4.21254347738078850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999967265 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9699999999999593 " " y[1] (analytic) = 14096.835790975107 " " y[1] (numeric) = 14096.835790975047 " " absolute error = 6.00266503170132600000000000E-11 " " relative error = 4.2581648255733207000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999968549 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.979999999999959 " " y[1] (analytic) = 14381.610763912573 " " y[1] (numeric) = 14381.610763912513 " " absolute error = 6.00266503170132600000000000E-11 " " relative error = 4.1738475127999347000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999969782 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.989999999999959 " " y[1] (analytic) = 14672.13857291297 " " y[1] (numeric) = 14672.13857291291 " " absolute error = 6.00266503170132600000000000E-11 " " relative error = 4.09119979467967350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999970967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 3.9999999999999587 " " y[1] (analytic) = 14968.535432973656 " " y[1] (numeric) = 14968.535432973595 " " absolute error = 6.18456397205591200000000000E-11 " " relative error = 4.13170947802425250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999721055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.009999999999959 " " y[1] (analytic) = 15270.919906790665 " " y[1] (numeric) = 15270.919906790603 " " absolute error = 6.18456397205591200000000000E-11 " " relative error = 4.0498961488926180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999973199 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.019999999999959 " " y[1] (analytic) = 15579.41295218537 " " y[1] (numeric) = 15579.412952185306 " " absolute error = 6.36646291241049800000000000E-11 " " relative error = 4.0864587978698230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.4999999997425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.0299999999999585 " " y[1] (analytic) = 15894.137970489224 " " y[1] (numeric) = 15894.13797048916 " " absolute error = 6.36646291241049800000000000E-11 " " relative error = 4.0055414922351640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999752596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.039999999999958 " " y[1] (analytic) = 16215.22085590594 " " y[1] (numeric) = 16215.220855905874 " " absolute error = 6.54836185276508300000000000E-11 " " relative error = 4.0384043553622190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.4999999997623 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.049999999999958 " " y[1] (analytic) = 16542.790045870846 " " y[1] (numeric) = 16542.790045870777 " " absolute error = 6.91215973347425500000000000E-11 " " relative error = 4.17835184651911830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999977162 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.059999999999958 " " y[1] (analytic) = 16876.97657242757 " " y[1] (numeric) = 16876.976572427502 " " absolute error = 6.91215973347425500000000000E-11 " " relative error = 4.095614936603550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999780574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.069999999999958 " " y[1] (analytic) = 17217.914114642626 " " y[1] (numeric) = 17217.914114642554 " " absolute error = 7.27595761418342600000000000E-11 " " relative error = 4.2258066602828126000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999789175 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.079999999999957 " " y[1] (analytic) = 17565.739052078785 " " y[1] (numeric) = 17565.739052078712 " " absolute error = 7.27595761418342600000000000E-11 " " relative error = 4.14213008209430630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999797446 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.089999999999957 " " y[1] (analytic) = 17920.590519348752 " " y[1] (numeric) = 17920.59051934868 " " absolute error = 7.27595761418342600000000000E-11 " " relative error = 4.06011041116508900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.49999999980539 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.099999999999957 " " y[1] (analytic) = 18282.61046177085 " " y[1] (numeric) = 18282.61046177078 " " absolute error = 7.27595761418342600000000000E-11 " " relative error = 3.9797148385333360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999813017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.109999999999957 " " y[1] (analytic) = 18651.94369214905 " " y[1] (numeric) = 18651.943692148976 " " absolute error = 7.27595761418342600000000000E-11 " " relative error = 3.90091120489818600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999820346 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.119999999999957 " " y[1] (analytic) = 19028.737948700003 " " y[1] (numeric) = 19028.73794869993 " " absolute error = 7.27595761418342600000000000E-11 " " relative error = 3.82366798775559460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999827395 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.129999999999956 " " y[1] (analytic) = 19413.143954150328 " " y[1] (numeric) = 19413.14395415025 " " absolute error = 7.63975549489259700000000000E-11 " " relative error = 3.93535200322835800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999983416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.139999999999956 " " y[1] (analytic) = 19805.31547602768 " " y[1] (numeric) = 19805.315476027605 " " absolute error = 7.63975549489259700000000000E-11 " " relative error = 3.85742681258460340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999840664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.149999999999956 " " y[1] (analytic) = 20205.40938816984 " " y[1] (numeric) = 20205.409388169763 " " absolute error = 7.63975549489259700000000000E-11 " " relative error = 3.78104464409695860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999846903 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.159999999999956 " " y[1] (analytic) = 20613.585733476317 " " y[1] (numeric) = 20613.585733476237 " " absolute error = 8.00355337560176800000000000E-11 " " relative error = 3.88265946501682830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999985291 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.1699999999999555 " " y[1] (analytic) = 21030.007787927658 " " y[1] (numeric) = 21030.007787927578 " " absolute error = 8.00355337560176800000000000E-11 " " relative error = 3.80577765653336230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999985868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.179999999999955 " " y[1] (analytic) = 21454.842125898012 " " y[1] (numeric) = 21454.842125897932 " " absolute error = 8.00355337560176800000000000E-11 " " relative error = 3.7304182098551670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999986422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.189999999999955 " " y[1] (analytic) = 21888.2586867871 " " y[1] (numeric) = 21888.25868678702 " " absolute error = 8.00355337560176800000000000E-11 " " relative error = 3.65655098019886440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999869544 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.199999999999955 " " y[1] (analytic) = 22330.430842998245 " " y[1] (numeric) = 22330.43084299816 " " absolute error = 8.3673512563109400000000000E-11 " " relative error = 3.7470621660372220000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999874664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.209999999999955 " " y[1] (analytic) = 22781.535469289636 " " y[1] (numeric) = 22781.53546928955 " " absolute error = 8.73114913702011100000000000E-11 " " relative error = 3.83255516239896450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999879574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.2199999999999545 " " y[1] (analytic) = 23241.7530135266 " " y[1] (numeric) = 23241.75301352651 " " absolute error = 8.73114913702011100000000000E-11 " " relative error = 3.75666548557616160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999884295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.229999999999954 " " y[1] (analytic) = 23711.267568863143 " " y[1] (numeric) = 23711.267568863055 " " absolute error = 8.73114913702011100000000000E-11 " " relative error = 3.68227852503573870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999988884 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.239999999999954 " " y[1] (analytic) = 24190.266947381682 " " y[1] (numeric) = 24190.26694738159 " " absolute error = 9.09494701772928200000000000E-11 " " relative error = 3.7597547135434590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999893195 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.249999999999954 " " y[1] (analytic) = 24678.942755220367 " " y[1] (numeric) = 24678.942755220276 " " absolute error = 9.09494701772928200000000000E-11 " " relative error = 3.6853065821895536000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999897383 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.259999999999954 " " y[1] (analytic) = 25177.490469218097 " " y[1] (numeric) = 25177.490469218006 " " absolute error = 9.09494701772928200000000000E-11 " " relative error = 3.612332622605390300000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.4999999999014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.269999999999953 " " y[1] (analytic) = 25686.109515107863 " " y[1] (numeric) = 25686.10951510777 " " absolute error = 9.09494701772928200000000000E-11 " " relative error = 3.5408036442342060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999990527 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.279999999999953 " " y[1] (analytic) = 26205.0033472897 " " y[1] (numeric) = 26205.003347289607 " " absolute error = 9.45874489843845400000000000E-11 " " relative error = 3.6095186759122240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999990898 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.289999999999953 " " y[1] (analytic) = 26734.379530215152 " " y[1] (numeric) = 26734.379530215057 " " absolute error = 9.45874489843845400000000000E-11 " " relative error = 3.53804541741774670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999991255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.299999999999953 " " y[1] (analytic) = 27274.44982141584 " " y[1] (numeric) = 27274.449821415743 " " absolute error = 9.82254277914762500000000000E-11 " " relative error = 3.6013715559662673000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999915982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3099999999999525 " " y[1] (analytic) = 27825.43025620927 " " y[1] (numeric) = 27825.430256209173 " " absolute error = 9.82254277914762500000000000E-11 " " relative error = 3.5300596212544516000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999991927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.319999999999952 " " y[1] (analytic) = 28387.54123411587 " " y[1] (numeric) = 28387.541234115768 " " absolute error = 1.01863406598567960000000000E-10 " " relative error = 3.58831382254936200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999992244 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.329999999999952 " " y[1] (analytic) = 28961.00760702171 " " y[1] (numeric) = 28961.007607021606 " " absolute error = 1.05501385405659680000000000E-10 " " relative error = 3.642876892863370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999925485 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.339999999999952 " " y[1] (analytic) = 29546.058769122275 " " y[1] (numeric) = 29546.05876912217 " " absolute error = 1.05501385405659680000000000E-10 " " relative error = 3.57074309741494570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999992841 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.349999999999952 " " y[1] (analytic) = 30142.928748683193 " " y[1] (numeric) = 30142.928748683084 " " absolute error = 1.09139364212751390000000000E-10 " " relative error = 3.62072860015366540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999931212 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.3599999999999515 " " y[1] (analytic) = 30751.856301654658 " " y[1] (numeric) = 30751.856301654545 " " absolute error = 1.1277734301984310000000000E-10 " " relative error = 3.66733448262682340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999933916 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.369999999999951 " " y[1] (analytic) = 31373.085007177004 " " y[1] (numeric) = 31373.085007176887 " " absolute error = 1.16415321826934810000000000E-10 " " relative error = 3.71067498782167270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.4999999999365 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.379999999999951 " " y[1] (analytic) = 32006.863365015597 " " y[1] (numeric) = 32006.863365015477 " " absolute error = 1.20053300634026530000000000E-10 " " relative error = 3.75086115952393440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999938993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.389999999999950 " " y[1] (analytic) = 32653.44489496406 " " y[1] (numeric) = 32653.44489496394 " " absolute error = 1.20053300634026530000000000E-10 " " relative error = 3.6765891323319950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999994138 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.399999999999950 " " y[1] (analytic) = 33313.08823825559 " " y[1] (numeric) = 33313.08823825546 " " absolute error = 1.23691279441118240000000000E-10 " " relative error = 3.71299348041456870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999994368 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.40999999999995 " " y[1] (analytic) = 33986.05726102284 " " y[1] (numeric) = 33986.05726102272 " " absolute error = 1.23691279441118240000000000E-10 " " relative error = 3.63947128350703100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999994589 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.41999999999995 " " y[1] (analytic) = 34672.62115984798 " " y[1] (numeric) = 34672.62115984785 " " absolute error = 1.30967237055301670000000000E-10 " " relative error = 3.777252272088560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999994801 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.42999999999995 " " y[1] (analytic) = 35373.05456944483 " " y[1] (numeric) = 35373.0545694447 " " absolute error = 1.30967237055301670000000000E-10 " " relative error = 3.70245766585368340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999950052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.43999999999995 " " y[1] (analytic) = 36087.63767251648 " " y[1] (numeric) = 36087.63767251634 " " absolute error = 1.3824319466948510000000000E-10 " " relative error = 3.83076320827638870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999995201 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4499999999999496 " " y[1] (analytic) = 36816.65631183205 " " y[1] (numeric) = 36816.65631183191 " " absolute error = 1.3824319466948510000000000E-10 " " relative error = 3.75490901451191350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999953893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.459999999999950 " " y[1] (analytic) = 37560.40210456765 " " y[1] (numeric) = 37560.40210456751 " " absolute error = 1.3824319466948510000000000E-10 " " relative error = 3.680556834418810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999955698 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.469999999999950 " " y[1] (analytic) = 38319.172558957114 " " y[1] (numeric) = 38319.172558956976 " " absolute error = 1.3824319466948510000000000E-10 " " relative error = 3.60767692613369660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999957435 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.479999999999949 " " y[1] (analytic) = 39093.271193299275 " " y[1] (numeric) = 39093.27119329914 " " absolute error = 1.3824319466948510000000000E-10 " " relative error = 3.53624013672154570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999959112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.489999999999949 " " y[1] (analytic) = 39883.00765736932 " " y[1] (numeric) = 39883.00765736918 " " absolute error = 1.45519152283668520000000000E-10 " " relative error = 3.6486504110674920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999960707 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.4999999999999485 " " y[1] (analytic) = 40688.697856282844 " " y[1] (numeric) = 40688.69785628269 " " absolute error = 1.52795109897851940000000000E-10 " " relative error = 3.75522240690871530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999962245 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.509999999999948 " " y[1] (analytic) = 41510.66407686208 " " y[1] (numeric) = 41510.664076861925 " " absolute error = 1.52795109897851940000000000E-10 " " relative error = 3.6808640212291740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999963727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.519999999999948 " " y[1] (analytic) = 42349.235116554955 " " y[1] (numeric) = 42349.2351165548 " " absolute error = 1.52795109897851940000000000E-10 " " relative error = 3.6079780302365370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999996515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.529999999999948 " " y[1] (analytic) = 43204.746414958456 " " y[1] (numeric) = 43204.746414958296 " " absolute error = 1.60071067512035370000000000E-10 " " relative error = 3.7049417203989227000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999996652 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.539999999999948 " " y[1] (analytic) = 44077.54018799891 " " y[1] (numeric) = 44077.54018799874 " " absolute error = 1.6734702512621880000000000E-10 " " relative error = 3.7966507298831240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999967827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.549999999999947 " " y[1] (analytic) = 44967.96556482292 " " y[1] (numeric) = 44967.965564822756 " " absolute error = 1.6734702512621880000000000E-10 " " relative error = 3.7214720084452590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999996909 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.559999999999947 " " y[1] (analytic) = 45876.37872745374 " " y[1] (numeric) = 45876.37872745357 " " absolute error = 1.6734702512621880000000000E-10 " " relative error = 3.6477819254306915000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999970306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.569999999999947 " " y[1] (analytic) = 46803.143053268745 " " y[1] (numeric) = 46803.14305326857 " " absolute error = 1.74622982740402220000000000E-10 " " relative error = 3.73100974312037150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999971465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.579999999999947 " " y[1] (analytic) = 47748.62926035528 " " y[1] (numeric) = 47748.629260355105 " " absolute error = 1.74622982740402220000000000E-10 " " relative error = 3.65713080030525940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999997259 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.589999999999947 " " y[1] (analytic) = 48713.21555580284 " " y[1] (numeric) = 48713.21555580266 " " absolute error = 1.81898940354585650000000000E-10 " " relative error = 3.7340778735128560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999997366 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.599999999999946 " " y[1] (analytic) = 49697.28778699091 " " y[1] (numeric) = 49697.28778699073 " " absolute error = 1.81898940354585650000000000E-10 " " relative error = 3.66013817764519360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999974694 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.609999999999946 " " y[1] (analytic) = 50701.239595933126 " " y[1] (numeric) = 50701.239595932944 " " absolute error = 1.81898940354585650000000000E-10 " " relative error = 3.5876625858507855000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999997568 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.619999999999946 " " y[1] (analytic) = 51725.47257673925 " " y[1] (numeric) = 51725.47257673907 " " absolute error = 1.81898940354585650000000000E-10 " " relative error = 3.51662210692657700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999976637 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.629999999999946 " " y[1] (analytic) = 52770.39643625824 " " y[1] (numeric) = 52770.39643625805 " " absolute error = 1.89174897968769070000000000E-10 " " relative error = 3.5848678566831470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999977554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.6399999999999455 " " y[1] (analytic) = 53836.42915796639 " " y[1] (numeric) = 53836.4291579662 " " absolute error = 1.89174897968769070000000000E-10 " " relative error = 3.51388271710394660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999997844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.649999999999945 " " y[1] (analytic) = 54923.99716916636 " " y[1] (numeric) = 54923.99716916616 " " absolute error = 1.9645085558295250000000000E-10 " " relative error = 3.57677637659695960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999979277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.659999999999945 " " y[1] (analytic) = 56033.53551156372 " " y[1] (numeric) = 56033.53551156352 " " absolute error = 2.03726813197135930000000000E-10 " " relative error = 3.63580151309732260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999998009 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.669999999999945 " " y[1] (analytic) = 57165.48801528947 " " y[1] (numeric) = 57165.488015289266 " " absolute error = 2.03726813197135930000000000E-10 " " relative error = 3.5638078195474720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999980876 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.679999999999945 " " y[1] (analytic) = 58320.30747643800 " " y[1] (numeric) = 58320.307476437796 " " absolute error = 2.11002770811319350000000000E-10 " " relative error = 3.61799825723769730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999981625 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.689999999999944 " " y[1] (analytic) = 59498.455838191585 " " y[1] (numeric) = 59498.45583819137 " " absolute error = 2.18278728425502780000000000E-10 " " relative error = 3.6686452673514830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999982343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.699999999999944 " " y[1] (analytic) = 60700.404375603764 " " y[1] (numeric) = 60700.40437560354 " " absolute error = 2.2555468603968620000000000E-10 " " relative error = 3.71586793135663840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999983036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.709999999999944 " " y[1] (analytic) = 61926.63388411569 " " y[1] (numeric) = 61926.633884115465 " " absolute error = 2.2555468603968620000000000E-10 " " relative error = 3.6422888165013190000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999983704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.719999999999944 " " y[1] (analytic) = 63177.634871880735 " " y[1] (numeric) = 63177.6348718805 " " absolute error = 2.32830643653869630000000000E-10 " " relative error = 3.6853333323735820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999998434 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.729999999999944 " " y[1] (analytic) = 64453.90775597422 " " y[1] (numeric) = 64453.90775597398 " " absolute error = 2.40106601268053050000000000E-10 " " relative error = 3.7252450569344670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.499999999984958 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.739999999999943 " " y[1] (analytic) = 65755.963062567 " " y[1] (numeric) = 65755.96306256675 " " absolute error = 2.4738255888223648000000000E-10 " " relative error = 3.7621311795988940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.49999999998555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.749999999999943 " " y[1] (analytic) = 67084.32163114265 " " y[1] (numeric) = 67084.3216311424 " " absolute error = 2.4738255888223648000000000E-10 " " relative error = 3.68763599105090660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999986112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.759999999999943 " " y[1] (analytic) = 68439.51482284031 " " y[1] (numeric) = 68439.51482284006 " " absolute error = 2.4738255888223648000000000E-10 " " relative error = 3.614615906068310300000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999998666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.769999999999943 " " y[1] (analytic) = 69822.08473300615 " " y[1] (numeric) = 69822.08473300589 " " absolute error = 2.61934474110603330000000000E-10 " " relative error = 3.75145593421077300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999987185 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.7799999999999425 " " y[1] (analytic) = 71232.58440803872 " " y[1] (numeric) = 71232.58440803846 " " absolute error = 2.61934474110603330000000000E-10 " " relative error = 3.67717212968400430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999998768 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.789999999999942 " " y[1] (analytic) = 72671.57806661497 " " y[1] (numeric) = 72671.57806661469 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.8046014232073890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999998817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.799999999999942 " " y[1] (analytic) = 74139.64132538515 " " y[1] (numeric) = 74139.64132538487 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.7292652674906080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999988635 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.809999999999942 " " y[1] (analytic) = 75637.36142922721 " " y[1] (numeric) = 75637.36142922693 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.65542086760488700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999998908 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.819999999999942 " " y[1] (analytic) = 77165.33748615257 " " y[1] (numeric) = 77165.33748615229 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.5830386848056760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.4999999999895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.8299999999999415 " " y[1] (analytic) = 78724.18070695727 " " y[1] (numeric) = 78724.18070695699 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.5120897652547510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999989914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.839999999999941 " " y[1] (analytic) = 80314.51464971449 " " y[1] (numeric) = 80314.51464971421 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.4425457284383040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999031 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.849999999999941 " " y[1] (analytic) = 81936.97546920607 " " y[1] (numeric) = 81936.97546920579 " " absolute error = 2.7648638933897020000000000E-10 " " relative error = 3.3743787558143460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999069 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.859999999999940 " " y[1] (analytic) = 83592.21217139291 " " y[1] (numeric) = 83592.21217139262 " " absolute error = 2.91038304567337040000000000E-10 " " relative error = 3.48164376808940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999991054 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.869999999999940 " " y[1] (analytic) = 85280.88687302599 " " y[1] (numeric) = 85280.8868730257 " " absolute error = 2.91038304567337040000000000E-10 " " relative error = 3.4127026024091610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999991402 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.87999999999994 " " y[1] (analytic) = 87003.67506650192 " " y[1] (numeric) = 87003.67506650163 " " absolute error = 2.91038304567337040000000000E-10 " " relative error = 3.34512656327310000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999991743 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.88999999999994 " " y[1] (analytic) = 88761.26589006893 " " y[1] (numeric) = 88761.26589006864 " " absolute error = 2.91038304567337040000000000E-10 " " relative error = 3.2788886193645410000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999992067 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.89999999999994 " " y[1] (analytic) = 90554.3624034913 " " y[1] (numeric) = 90554.36240349099 " " absolute error = 3.0559021979570390000000000E-10 " " relative error = 3.37466038835387950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999238 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.90999999999994 " " y[1] (analytic) = 92383.68186928263 " " y[1] (numeric) = 92383.68186928233 " " absolute error = 3.0559021979570390000000000E-10 " " relative error = 3.3078376355263230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999992678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9199999999999395 " " y[1] (analytic) = 94249.95603962055 " " y[1] (numeric) = 94249.95603962023 " " absolute error = 3.20142135024070740000000000E-10 " " relative error = 3.39673511242265400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.929999999999940 " " y[1] (analytic) = 96153.93144905714 " " y[1] (numeric) = 96153.93144905682 " " absolute error = 3.20142135024070740000000000E-10 " " relative error = 3.3294752507720780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999993243 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.939999999999939 " " y[1] (analytic) = 98096.36971314288 " " y[1] (numeric) = 98096.36971314254 " " absolute error = 3.3469405025243760000000000E-10 " " relative error = 3.41189027923421260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999351 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.949999999999939 " " y[1] (analytic) = 100078.04783308289 " " y[1] (numeric) = 100078.04783308256 " " absolute error = 3.3469405025243760000000000E-10 " " relative error = 3.3443303251744433000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999376 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.959999999999939 " " y[1] (analytic) = 102099.7585065479 " " y[1] (numeric) = 102099.75850654756 " " absolute error = 3.49245965480804440000000000E-10 " " relative error = 3.4206345890466180000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999994007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.9699999999999385 " " y[1] (analytic) = 104162.3104447638 " " y[1] (numeric) = 104162.31044476344 " " absolute error = 3.6379788070917130000000000E-10 " " relative error = 3.49260571463696160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999994237 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.979999999999938 " " y[1] (analytic) = 106266.52869600694 " " y[1] (numeric) = 106266.52869600656 " " absolute error = 3.78349795937538150000000000E-10 " " relative error = 3.56038538738637670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999994465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.989999999999938 " " y[1] (analytic) = 108413.2549756344 " " y[1] (numeric) = 108413.25497563402 " " absolute error = 3.78349795937538150000000000E-10 " " relative error = 3.48988503317764300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999468 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 4.999999999999938 " " y[1] (analytic) = 110603.34800278145 " " y[1] (numeric) = 110603.34800278107 " " absolute error = 3.78349795937538150000000000E-10 " " relative error = 3.4207806795145430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999994888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.009999999999938 " " y[1] (analytic) = 112837.68384386059 " " y[1] (numeric) = 112837.6838438602 " " absolute error = 3.929017111659050000000000E-10 " " relative error = 3.4820079408009086000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999995094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.019999999999937 " " y[1] (analytic) = 115117.15626299978 " " y[1] (numeric) = 115117.15626299939 " " absolute error = 3.929017111659050000000000E-10 " " relative error = 3.4130595640172960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999528 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.029999999999937 " " y[1] (analytic) = 117442.67707956006 " " y[1] (numeric) = 117442.67707955965 " " absolute error = 4.07453626394271850000000000E-10 " " relative error = 3.4693829919957253000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999547 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.039999999999937 " " y[1] (analytic) = 119815.1765328754 " " y[1] (numeric) = 119815.17653287498 " " absolute error = 4.2200554162263870000000000E-10 " " relative error = 3.52213762758883050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999995644 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.049999999999937 " " y[1] (analytic) = 122235.60365436086 " " y[1] (numeric) = 122235.60365436044 " " absolute error = 4.2200554162263870000000000E-10 " " relative error = 3.4523946297669650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999582 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.0599999999999365 " " y[1] (analytic) = 124704.92664713785 " " y[1] (numeric) = 124704.92664713743 " " absolute error = 4.2200554162263870000000000E-10 " " relative error = 3.3840326358295030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.069999999999936 " " y[1] (analytic) = 127224.13327332822 " " y[1] (numeric) = 127224.1332733278 " " absolute error = 4.2200554162263870000000000E-10 " " relative error = 3.3170243000673650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999996135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.079999999999936 " " y[1] (analytic) = 129794.23124917231 " " y[1] (numeric) = 129794.23124917188 " " absolute error = 4.36557456851005550000000000E-10 " " relative error = 3.3634580878477177000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999996295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.089999999999936 " " y[1] (analytic) = 132416.2486481289 " " y[1] (numeric) = 132416.24864812844 " " absolute error = 4.6566128730773926000000000E-10 " " relative error = 3.51664763246046840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999996437 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.099999999999936 " " y[1] (analytic) = 135091.23431211826 " " y[1] (numeric) = 135091.2343121178 " " absolute error = 4.6566128730773926000000000E-10 " " relative error = 3.44701334382557700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999996575 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.1099999999999355 " " y[1] (analytic) = 137820.25827107293 " " y[1] (numeric) = 137820.25827107247 " " absolute error = 4.6566128730773926000000000E-10 " " relative error = 3.3787579064889683000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999671 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.119999999999935 " " y[1] (analytic) = 140604.41217096397 " " y[1] (numeric) = 140604.4121709635 " " absolute error = 4.6566128730773926000000000E-10 " " relative error = 3.31185401736562500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999996838 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.129999999999935 " " y[1] (analytic) = 143444.8097104739 " " y[1] (numeric) = 143444.80971047343 " " absolute error = 4.6566128730773926000000000E-10 " " relative error = 3.24627491400783730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999996966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.139999999999935 " " y[1] (analytic) = 146342.587086491 " " y[1] (numeric) = 146342.5870864905 " " absolute error = 4.947651177644729600000000E-10 " " relative error = 3.38086901164360460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.149999999999935 " " y[1] (analytic) = 149298.90344860317 " " y[1] (numeric) = 149298.90344860268 " " absolute error = 4.947651177644729600000000E-10 " " relative error = 3.3139233198373630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.4999999999972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.159999999999934 " " y[1] (analytic) = 152314.9413627734 " " y[1] (numeric) = 152314.94136277286 " " absolute error = 5.2386894822120670000000000E-10 " " relative error = 3.43937990281262800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999997303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.169999999999934 " " y[1] (analytic) = 155391.90728438165 " " y[1] (numeric) = 155391.90728438113 " " absolute error = 5.2386894822120670000000000E-10 " " relative error = 3.37127561773521270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999997417 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.179999999999934 " " y[1] (analytic) = 158531.0320408234 " " y[1] (numeric) = 158531.03204082287 " " absolute error = 5.2386894822120670000000000E-10 " " relative error = 3.30451988785580460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999997513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.189999999999934 " " y[1] (analytic) = 161733.57132385674 " " y[1] (numeric) = 161733.57132385622 " " absolute error = 5.2386894822120670000000000E-10 " " relative error = 3.2390860099923646000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999761 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.199999999999934 " " y[1] (analytic) = 165000.80619189603 " " y[1] (numeric) = 165000.80619189548 " " absolute error = 5.5297277867794040000000000E-10 " " relative error = 3.35133379915024600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999997705 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.209999999999933 " " y[1] (analytic) = 168334.0435824521 " " y[1] (numeric) = 168334.04358245156 " " absolute error = 5.5297277867794040000000000E-10 " " relative error = 3.28497294373545700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999997794 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.219999999999933 " " y[1] (analytic) = 171734.61683492505 " " y[1] (numeric) = 171734.61683492447 " " absolute error = 5.8207660913467410000000000E-10 " " relative error = 3.3893959171561694000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999997875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.229999999999933 " " y[1] (analytic) = 175203.88622395735 " " y[1] (numeric) = 175203.88622395677 " " absolute error = 5.8207660913467410000000000E-10 " " relative error = 3.3222813813080880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999797 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.239999999999933 " " y[1] (analytic) = 178743.23950356222 " " y[1] (numeric) = 178743.2395035616 " " absolute error = 6.1118043959140780000000000E-10 " " relative error = 3.41932059242569250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999998046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.2499999999999325 " " y[1] (analytic) = 182354.09246224345 " " y[1] (numeric) = 182354.09246224284 " " absolute error = 6.1118043959140780000000000E-10 " " relative error = 3.35161350830639100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999812 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.259999999999932 " " y[1] (analytic) = 186037.88948932991 " " y[1] (numeric) = 186037.88948932927 " " absolute error = 6.4028427004814150000000000E-10 " " relative error = 3.4416874530543660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999819 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.269999999999932 " " y[1] (analytic) = 189796.10415275037 " " y[1] (numeric) = 189796.10415274973 " " absolute error = 6.4028427004814150000000000E-10 " " relative error = 3.3735374754206354000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.279999999999932 " " y[1] (analytic) = 193630.2397884804 " " y[1] (numeric) = 193630.23978847972 " " absolute error = 6.6938810050487520000000000E-10 " " relative error = 3.4570431831107973000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999998337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.289999999999932 " " y[1] (analytic) = 197541.83010189675 " " y[1] (numeric) = 197541.83010189608 " " absolute error = 6.6938810050487520000000000E-10 " " relative error = 3.3885891416495890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999998398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.299999999999931 " " y[1] (analytic) = 201532.43978128003 " " y[1] (numeric) = 201532.43978127936 " " absolute error = 6.6938810050487520000000000E-10 " " relative error = 3.3214905810268136000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999998458 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.309999999999931 " " y[1] (analytic) = 205603.66512371087 " " y[1] (numeric) = 205603.66512371018 " " absolute error = 6.9849193096160890000000000E-10 " " relative error = 3.39727373313763240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999852 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.319999999999931 " " y[1] (analytic) = 209757.13467360995 " " y[1] (numeric) = 209757.13467360922 " " absolute error = 7.2759576141834260000000000E-10 " " relative error = 3.4687533396683223000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.329999999999930 " " y[1] (analytic) = 213994.50987417754 " " y[1] (numeric) = 213994.50987417682 " " absolute error = 7.2759576141834260000000000E-10 " " relative error = 3.40006742157145770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.339999999999930 " " y[1] (analytic) = 218317.485731993 " " y[1] (numeric) = 218317.48573199223 " " absolute error = 7.5669959187507630000000000E-10 " " relative error = 3.4660512388091640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999998696 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.34999999999993 " " y[1] (analytic) = 222727.79149503983 " " y[1] (numeric) = 222727.79149503907 " " absolute error = 7.5669959187507630000000000E-10 " " relative error = 3.39741882589415460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999874 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.35999999999993 " " y[1] (analytic) = 227227.19134442817 " " y[1] (numeric) = 227227.1913444274 " " absolute error = 7.5669959187507630000000000E-10 " " relative error = 3.33014542580901000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999998785 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.36999999999993 " " y[1] (analytic) = 231817.48510009056 " " y[1] (numeric) = 231817.4851000898 " " absolute error = 7.5669959187507630000000000E-10 " " relative error = 3.2642041282967090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999884 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.37999999999993 " " y[1] (analytic) = 236500.50894073403 " " y[1] (numeric) = 236500.50894073324 " " absolute error = 7.85803422331810000000000E-10 " " relative error = 3.3226288850343610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999998884 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.3899999999999295 " " y[1] (analytic) = 241278.13613833592 " " y[1] (numeric) = 241278.13613833513 " " absolute error = 7.85803422331810000000000E-10 " " relative error = 3.25683642500152800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999998927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.399999999999930 " " y[1] (analytic) = 246152.27780747786 " " y[1] (numeric) = 246152.27780747705 " " absolute error = 8.1490725278854370000000000E-10 " " relative error = 3.31058180751796270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999999998966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.409999999999929 " " y[1] (analytic) = 251124.8836698169 " " y[1] (numeric) = 251124.88366981607 " " absolute error = 8.1490725278854370000000000E-10 " " relative error = 3.24502789560271950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.419999999999929 " " y[1] (analytic) = 256197.9428340003 " " y[1] (numeric) = 256197.94283399946 " " absolute error = 8.4401108324527740000000000E-10 " " relative error = 3.29437103947451240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.429999999999929 " " y[1] (analytic) = 261373.48459133544 " " y[1] (numeric) = 261373.48459133456 " " absolute error = 8.7311491370201110000000000E-10 " " relative error = 3.3404877126964505000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999083 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.4399999999999284 " " y[1] (analytic) = 266653.5792275333 " " y[1] (numeric) = 266653.57922753243 " " absolute error = 8.7311491370201110000000000E-10 " " relative error = 3.2743416241826980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999122 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.449999999999928 " " y[1] (analytic) = 272040.3388508507 " " y[1] (numeric) = 272040.3388508498 " " absolute error = 9.3132257461547850000000000E-10 " " relative error = 3.4234723370422170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999158 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.459999999999928 " " y[1] (analytic) = 277535.9182369613 " " y[1] (numeric) = 277535.91823696037 " " absolute error = 9.3132257461547850000000000E-10 " " relative error = 3.35568304287127030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.469999999999928 " " y[1] (analytic) = 283142.5156908949 " " y[1] (numeric) = 283142.515690894 " " absolute error = 9.3132257461547850000000000E-10 " " relative error = 3.28923606666050140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.479999999999928 " " y[1] (analytic) = 288862.3739263888 " " y[1] (numeric) = 288862.3739263878 " " absolute error = 9.895302355289459000000000E-10 " " relative error = 3.4256113805292940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999254 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.489999999999927 " " y[1] (analytic) = 294697.7809630029 " " y[1] (numeric) = 294697.7809630019 " " absolute error = 9.895302355289459000000000E-10 " " relative error = 3.3577797304594370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.499999999999927 " " y[1] (analytic) = 300651.0710413583 " " y[1] (numeric) = 300651.0710413573 " " absolute error = 9.895302355289459000000000E-10 " " relative error = 3.29129123705274860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999304 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.509999999999927 " " y[1] (analytic) = 306724.62555686466 " " y[1] (numeric) = 306724.6255568636 " " absolute error = 1.0477378964424133000000000E-9 " " relative error = 3.4158910277915390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999336 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.519999999999927 " " y[1] (analytic) = 312920.87401230994 " " y[1] (numeric) = 312920.8740123089 " " absolute error = 1.0477378964424133000000000E-9 " " relative error = 3.3482518536018040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.5299999999999265 " " y[1] (analytic) = 319242.2949896941 " " y[1] (numeric) = 319242.29498969304 " " absolute error = 1.0477378964424133000000000E-9 " " relative error = 3.2819520247974560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999392 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.539999999999926 " " y[1] (analytic) = 325691.4171416948 " " y[1] (numeric) = 325691.41714169376 " " absolute error = 1.0477378964424133000000000E-9 " " relative error = 3.21696502056296460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999941 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.549999999999926 " " y[1] (analytic) = 332270.8202031623 " " y[1] (numeric) = 332270.8202031613 " " absolute error = 1.0477378964424133000000000E-9 " " relative error = 3.1532648452301310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999428 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.559999999999926 " " y[1] (analytic) = 338983.1360230478 " " y[1] (numeric) = 338983.1360230467 " " absolute error = 1.1059455573558807000000000E-9 " " relative error = 3.2625385744283353000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999456 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.569999999999926 " " y[1] (analytic) = 345831.04961717787 " " y[1] (numeric) = 345831.04961717676 " " absolute error = 1.1059455573558807000000000E-9 " " relative error = 3.19793598226683630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999474 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.5799999999999255 " " y[1] (analytic) = 352817.30024229694 " " y[1] (numeric) = 352817.30024229584 " " absolute error = 1.1059455573558807000000000E-9 " " relative error = 3.1346126071379540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999496 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.589999999999925 " " y[1] (analytic) = 359944.68249180634 " " y[1] (numeric) = 359944.68249180523 " " absolute error = 1.1059455573558807000000000E-9 " " relative error = 3.0725431188473140000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999517 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.599999999999925 " " y[1] (analytic) = 367216.0474136389 " " y[1] (numeric) = 367216.04741363775 " " absolute error = 1.1641532182693481000000000E-9 " " relative error = 3.17021335660209960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999545 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.609999999999925 " " y[1] (analytic) = 374634.30365071615 " " y[1] (numeric) = 374634.303650715 " " absolute error = 1.1641532182693481000000000E-9 " " relative error = 3.10743892624079200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.619999999999925 " " y[1] (analytic) = 382202.4186044443 " " y[1] (numeric) = 382202.41860444314 " " absolute error = 1.1641532182693481000000000E-9 " " relative error = 3.0459075128830470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.629999999999924 " " y[1] (analytic) = 389923.41962171445 " " y[1] (numeric) = 389923.4196217132 " " absolute error = 1.2223608791828156000000000E-9 " " relative error = 3.13487422830024730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.639999999999924 " " y[1] (analytic) = 397800.3952058815 " " y[1] (numeric) = 397800.3952058803 " " absolute error = 1.2223608791828156000000000E-9 " " relative error = 3.07279955956349160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.649999999999924 " " y[1] (analytic) = 405836.4962522069 " " y[1] (numeric) = 405836.49625220563 " " absolute error = 1.280568540096283000000000E-9 " " relative error = 3.15538043503232450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999623 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.659999999999924 " " y[1] (analytic) = 414034.9373082586 " " y[1] (numeric) = 414034.93730825733 " " absolute error = 1.280568540096283000000000E-9 " " relative error = 3.09289971619682400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999638 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.6699999999999235 " " y[1] (analytic) = 422398.99785977305 " " y[1] (numeric) = 422398.9978597717 " " absolute error = 1.3387762010097504000000000E-9 " " relative error = 3.1694587529636936000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.679999999999923 " " y[1] (analytic) = 430932.0236424931 " " y[1] (numeric) = 430932.0236424918 " " absolute error = 1.3387762010097504000000000E-9 " " relative error = 3.106699264755539700000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.689999999999923 " " y[1] (analytic) = 439637.4279805071 " " y[1] (numeric) = 439637.42798050574 " " absolute error = 1.3387762010097504000000000E-9 " " relative error = 3.04518249767649460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999677 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.699999999999923 " " y[1] (analytic) = 448518.6931516238 " " y[1] (numeric) = 448518.6931516224 " " absolute error = 1.3969838619232178000000000E-9 " " relative error = 3.1146614026429460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999969 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.709999999999923 " " y[1] (analytic) = 457579.37178033014 " " y[1] (numeric) = 457579.37178032874 " " absolute error = 1.3969838619232178000000000E-9 " " relative error = 3.0529869746704125000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.4999999999997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.7199999999999225 " " y[1] (analytic) = 466823.0882588882 " " y[1] (numeric) = 466823.0882588868 " " absolute error = 1.3969838619232178000000000E-9 " " relative error = 2.99253378219477840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999972 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.729999999999922 " " y[1] (analytic) = 476253.5401971407 " " y[1] (numeric) = 476253.54019713926 " " absolute error = 1.4551915228366852000000000E-9 " " relative error = 3.0554975449302120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999723 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.739999999999922 " " y[1] (analytic) = 485874.4999016039 " " y[1] (numeric) = 485874.4999016024 " " absolute error = 1.5133991837501526000000000E-9 " " relative error = 3.1147944254259820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999734 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.749999999999922 " " y[1] (analytic) = 495689.8158844408 " " y[1] (numeric) = 495689.8158844392 " " absolute error = 1.57160684466362000000000E-9 " " relative error = 3.17054495432685160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999748 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.759999999999922 " " y[1] (analytic) = 505703.4144029171 " " y[1] (numeric) = 505703.4144029155 " " absolute error = 1.57160684466362000000000E-9 " " relative error = 3.107763957890639600000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999999999755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.769999999999921 " " y[1] (analytic) = 515919.30102995667 " " y[1] (numeric) = 515919.30102995504 " " absolute error = 1.6298145055770874000000000E-9 " " relative error = 3.1590492976777640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.779999999999921 " " y[1] (analytic) = 526341.562256424 " " y[1] (numeric) = 526341.5622564222 " " absolute error = 1.7462298274040222000000000E-9 " " relative error = 3.31767421124401100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.789999999999921 " " y[1] (analytic) = 536974.3671257749 " " y[1] (numeric) = 536974.3671257731 " " absolute error = 1.7462298274040222000000000E-9 " " relative error = 3.25197986032544630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999787 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.799999999999920 " " y[1] (analytic) = 547821.9689017298 " " y[1] (numeric) = 547821.9689017279 " " absolute error = 1.862645149230957000000000E-9 " " relative error = 3.4000921010254060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999979 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.809999999999920 " " y[1] (analytic) = 558888.7067696357 " " y[1] (numeric) = 558888.7067696338 " " absolute error = 1.862645149230957000000000E-9 " " relative error = 3.33276576654590930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999805 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.81999999999992 " " y[1] (analytic) = 570179.0075721982 " " y[1] (numeric) = 570179.0075721963 " " absolute error = 1.862645149230957000000000E-9 " " relative error = 3.2667725828104993000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999808 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.82999999999992 " " y[1] (analytic) = 581697.3875802776 " " y[1] (numeric) = 581697.3875802758 " " absolute error = 1.862645149230957000000000E-9 " " relative error = 3.20208615166575950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.83999999999992 " " y[1] (analytic) = 593448.4542994578 " " y[1] (numeric) = 593448.454299456 " " absolute error = 1.862645149230957000000000E-9 " " relative error = 3.1386805976767350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999822 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.84999999999992 " " y[1] (analytic) = 605436.9083131094 " " y[1] (numeric) = 605436.9083131074 " " absolute error = 1.979060471057891800000000E-9 " " relative error = 3.26881371763743770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999983 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.8599999999999195 " " y[1] (analytic) = 617667.5451626859 " " y[1] (numeric) = 617667.5451626839 " " absolute error = 1.979060471057891800000000E-9 " " relative error = 3.20408686931516250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.869999999999920 " " y[1] (analytic) = 630145.2572660046 " " y[1] (numeric) = 630145.2572660026 " " absolute error = 1.979060471057891800000000E-9 " " relative error = 3.14064169846233860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.879999999999919 " " y[1] (analytic) = 642875.0358742784 " " y[1] (numeric) = 642875.0358742764 " " absolute error = 1.979060471057891800000000E-9 " " relative error = 3.07845282616467930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999844 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.889999999999919 " " y[1] (analytic) = 655861.9730686834 " " y[1] (numeric) = 655861.9730686813 " " absolute error = 2.0954757928848267000000000E-9 " " relative error = 3.1949951040466610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.899999999999919 " " y[1] (analytic) = 669111.2637972587 " " y[1] (numeric) = 669111.2637972566 " " absolute error = 2.0954757928848267000000000E-9 " " relative error = 3.1317299622081350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999854 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.909999999999918 " " y[1] (analytic) = 682628.2079529554 " " y[1] (numeric) = 682628.2079529533 " " absolute error = 2.0954757928848267000000000E-9 " " relative error = 3.06971755411144740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.919999999999918 " " y[1] (analytic) = 696418.2124936641 " " y[1] (numeric) = 696418.2124936619 " " absolute error = 2.2118911147117615000000000E-9 " " relative error = 3.17609602252021060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.929999999999918 " " y[1] (analytic) = 710486.7936050702 " " y[1] (numeric) = 710486.793605068 " " absolute error = 2.2118911147117615000000000E-9 " " relative error = 3.113205107569189700000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.939999999999918 " " y[1] (analytic) = 724839.5789072019 " " y[1] (numeric) = 724839.5789071997 " " absolute error = 2.2118911147117615000000000E-9 " " relative error = 3.05155951617115060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999999988 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.949999999999918 " " y[1] (analytic) = 739482.309705553 " " y[1] (numeric) = 739482.3097055508 " " absolute error = 2.2118911147117615000000000E-9 " " relative error = 2.99113458926758100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999883 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.959999999999917 " " y[1] (analytic) = 754420.8432876819 " " y[1] (numeric) = 754420.8432876796 " " absolute error = 2.3283064365386963000000000E-9 " " relative error = 3.0862170064021510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.969999999999917 " " y[1] (analytic) = 769661.1552662045 " " y[1] (numeric) = 769661.1552662022 " " absolute error = 2.3283064365386963000000000E-9 " " relative error = 3.02510581521214960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.979999999999917 " " y[1] (analytic) = 785209.3419691193 " " y[1] (numeric) = 785209.3419691168 " " absolute error = 2.444721758365631000000000E-9 " " relative error = 3.11346494201768850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.989999999999917 " " y[1] (analytic) = 801071.6228784191 " " y[1] (numeric) = 801071.6228784166 " " absolute error = 2.561137080192566000000000E-9 " " relative error = 3.1971386915315520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 5.9999999999999165 " " y[1] (analytic) = 817254.3431179677 " " y[1] (numeric) = 817254.343117965 " " absolute error = 2.6775524020195010000000000E-9 " " relative error = 3.27627797217225200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.4999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.009999999999916 " " y[1] (analytic) = 833763.9759916333 " " y[1] (numeric) = 833763.9759916306 " " absolute error = 2.6775524020195010000000000E-9 " " relative error = 3.2114033217074010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.019999999999916 " " y[1] (analytic) = 850607.1255726968 " " y[1] (numeric) = 850607.125572694 " " absolute error = 2.7939677238464355000000000E-9 " " relative error = 3.2846747221466230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.029999999999916 " " y[1] (analytic) = 867790.5293455689 " " y[1] (numeric) = 867790.529345566 " " absolute error = 2.7939677238464355000000000E-9 " " relative error = 3.21963380489236730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999991 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.039999999999916 " " y[1] (analytic) = 885321.0609008739 " " y[1] (numeric) = 885321.060900871 " " absolute error = 2.9103830456733704000000000E-9 " " relative error = 3.28737581675946970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999922 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.0499999999999154 " " y[1] (analytic) = 903205.7326849775 " " y[1] (numeric) = 903205.7326849744 " " absolute error = 3.026798367500305000000000E-9 " " relative error = 3.35117267081828900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.059999999999915 " " y[1] (analytic) = 921451.6988050586 " " y[1] (numeric) = 921451.6988050556 " " absolute error = 3.026798367500305000000000E-9 " " relative error = 3.28481500595795340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.069999999999915 " " y[1] (analytic) = 940066.2578908482 " " y[1] (numeric) = 940066.2578908452 " " absolute error = 3.026798367500305000000000E-9 " " relative error = 3.21977131089811850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.079999999999915 " " y[1] (analytic) = 959056.8560141781 " " y[1] (numeric) = 959056.856014175 " " absolute error = 3.14321368932724000000000E-9 " " relative error = 3.2774007814201710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.089999999999915 " " y[1] (analytic) = 978431.089667509 " " y[1] (numeric) = 978431.0896675057 " " absolute error = 3.259629011154175000000000E-9 " " relative error = 3.33148552368860650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999932 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.099999999999914 " " y[1] (analytic) = 998196.7088026284 " " y[1] (numeric) = 998196.7088026252 " " absolute error = 3.259629011154175000000000E-9 " " relative error = 3.2655176904602430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.109999999999914 " " y[1] (analytic) = 1018361.619930736 " " y[1] (numeric) = 1018361.6199307326 " " absolute error = 3.3760443329811096000000000E-9 " " relative error = 3.315172397414910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.119999999999914 " " y[1] (analytic) = 1038933.8892851517 " " y[1] (numeric) = 1038933.8892851484 " " absolute error = 3.3760443329811096000000000E-9 " " relative error = 3.24952758572927940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.129999999999914 " " y[1] (analytic) = 1059921.7460479182 " " y[1] (numeric) = 1059921.7460479147 " " absolute error = 3.4924596548080444000000000E-9 " " relative error = 3.2950165121436736000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.1399999999999135 " " y[1] (analytic) = 1081333.585641582 " " y[1] (numeric) = 1081333.5856415785 " " absolute error = 3.4924596548080444000000000E-9 " " relative error = 3.22977081372709030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.149999999999913 " " y[1] (analytic) = 1103177.9730874759 " " y[1] (numeric) = 1103177.9730874724 " " absolute error = 3.4924596548080444000000000E-9 " " relative error = 3.1658170667001810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.159999999999913 " " y[1] (analytic) = 1125463.6464318405 " " y[1] (numeric) = 1125463.646431837 " " absolute error = 3.4924596548080444000000000E-9 " " relative error = 3.1031296887114090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.169999999999913 " " y[1] (analytic) = 1148199.52024116 " " y[1] (numeric) = 1148199.5202411562 " " absolute error = 3.725290298461914000000000E-9 " " relative error = 3.2444625109053170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.179999999999913 " " y[1] (analytic) = 1171394.6891681068 " " y[1] (numeric) = 1171394.689168103 " " absolute error = 3.725290298461914000000000E-9 " " relative error = 3.1802178487829030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.1899999999999125 " " y[1] (analytic) = 1195058.431589525 " " y[1] (numeric) = 1195058.4315895212 " " absolute error = 3.725290298461914000000000E-9 " " relative error = 3.1172453162034720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.199999999999912 " " y[1] (analytic) = 1219200.213317904 " " y[1] (numeric) = 1219200.2133179 " " absolute error = 3.958120942115783700000000E-9 " " relative error = 3.2464897060214930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.209999999999912 " " y[1] (analytic) = 1243829.6913878296 " " y[1] (numeric) = 1243829.6913878254 " " absolute error = 4.190951585769653300000000E-9 " " relative error = 3.36939342643727160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999957 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.219999999999912 " " y[1] (analytic) = 1268956.7179189273 " " y[1] (numeric) = 1268956.7179189231 " " absolute error = 4.190951585769653300000000E-9 " " relative error = 3.30267496644232200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.229999999999912 " " y[1] (analytic) = 1294591.344056841 " " y[1] (numeric) = 1294591.3440568368 " " absolute error = 4.190951585769653300000000E-9 " " relative error = 3.2372776204702040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999964 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.239999999999911 " " y[1] (analytic) = 1320743.8239938256 " " y[1] (numeric) = 1320743.8239938212 " " absolute error = 4.423782229423523000000000E-9 " " relative error = 3.3494627414166910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.249999999999911 " " y[1] (analytic) = 1347424.6190705602 " " y[1] (numeric) = 1347424.6190705555 " " absolute error = 4.6566128730773926000000000E-9 " " relative error = 3.4559357215021620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.259999999999911 " " y[1] (analytic) = 1374644.401960824 " " y[1] (numeric) = 1374644.4019608193 " " absolute error = 4.6566128730773926000000000E-9 " " relative error = 3.387503609249850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999964 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.269999999999910 " " y[1] (analytic) = 1402414.0609407085 " " y[1] (numeric) = 1402414.0609407038 " " absolute error = 4.6566128730773926000000000E-9 " " relative error = 3.32042654360855450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999964 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.2799999999999105 " " y[1] (analytic) = 1430744.7042440728 " " y[1] (numeric) = 1430744.7042440681 " " absolute error = 4.6566128730773926000000000E-9 " " relative error = 3.2546776928576450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999968 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.28999999999991 " " y[1] (analytic) = 1459647.664505985 " " y[1] (numeric) = 1459647.6645059804 " " absolute error = 4.6566128730773926000000000E-9 " " relative error = 3.190230756580160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.29999999999991 " " y[1] (analytic) = 1489134.5032959282 " " y[1] (numeric) = 1489134.5032959234 " " absolute error = 4.889443516731262000000000E-9 " " relative error = 3.2834129528993980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999999997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.30999999999991 " " y[1] (analytic) = 1519217.015742581 " " y[1] (numeric) = 1519217.015742576 " " absolute error = 5.122274160385132000000000E-9 " " relative error = 3.37165402131926860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.31999999999991 " " y[1] (analytic) = 1549907.2352520279 " " y[1] (numeric) = 1549907.2352520227 " " absolute error = 5.122274160385132000000000E-9 " " relative error = 3.3048907985465380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.3299999999999095 " " y[1] (analytic) = 1581217.4383212808 " " y[1] (numeric) = 1581217.4383212756 " " absolute error = 5.122274160385132000000000E-9 " " relative error = 3.23944957615902500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.339999999999910 " " y[1] (analytic) = 1613160.1494490425 " " y[1] (numeric) = 1613160.1494490372 " " absolute error = 5.3551048040390010000000000E-9 " " relative error = 3.3196361848313570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.349999999999909 " " y[1] (analytic) = 1645748.1461456725 " " y[1] (numeric) = 1645748.1461456672 " " absolute error = 5.3551048040390010000000000E-9 " " relative error = 3.25390298423280000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.359999999999909 " " y[1] (analytic) = 1678994.464044362 " " y[1] (numeric) = 1678994.4640443565 " " absolute error = 5.587935447692871000000000E-9 " " relative error = 3.3281440572666640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.369999999999909 " " y[1] (analytic) = 1712912.4021155606 " " y[1] (numeric) = 1712912.402115555 " " absolute error = 5.587935447692871000000000E-9 " " relative error = 3.262242389506550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.379999999999908 " " y[1] (analytic) = 1747515.527986742 " " y[1] (numeric) = 1747515.5279867363 " " absolute error = 5.820766091346741000000000E-9 " " relative error = 3.33088089812435760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.389999999999908 " " y[1] (analytic) = 1782817.6833696356 " " y[1] (numeric) = 1782817.6833696298 " " absolute error = 5.820766091346741000000000E-9 " " relative error = 3.26492503728431360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.399999999999908 " " y[1] (analytic) = 1818832.9895970966 " " y[1] (numeric) = 1818832.9895970905 " " absolute error = 6.05359673500061000000000E-9 " " relative error = 3.328286197591780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.409999999999908 " " y[1] (analytic) = 1855575.8532718262 " " y[1] (numeric) = 1855575.85327182 " " absolute error = 6.28642737865448000000000E-9 " " relative error = 3.38785793508252330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.419999999999908 " " y[1] (analytic) = 1893060.9720292059 " " y[1] (numeric) = 1893060.9720291994 " " absolute error = 6.51925802230835000000000E-9 " " relative error = 3.4437654775166810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.429999999999907 " " y[1] (analytic) = 1931303.3404165464 " " y[1] (numeric) = 1931303.34041654 " " absolute error = 6.51925802230835000000000E-9 " " relative error = 3.37557435224145940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999998 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.439999999999907 " " y[1] (analytic) = 1970318.2558911084 " " y[1] (numeric) = 1970318.2558911017 " " absolute error = 6.752088665962219000000000E-9 " " relative error = 3.4269025553480836000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.449999999999907 " " y[1] (analytic) = 2010121.324939287 " " y[1] (numeric) = 2010121.32493928 " " absolute error = 6.984919309616089000000000E-9 " " relative error = 3.4748744879004050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.459999999999907 " " y[1] (analytic) = 2050728.4693194162 " " y[1] (numeric) = 2050728.4693194092 " " absolute error = 6.984919309616089000000000E-9 " " relative error = 3.4060673629474720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.4699999999999065 " " y[1] (analytic) = 2092155.932430684 " " y[1] (numeric) = 2092155.9324306769 " " absolute error = 7.2177499532699580000000000E-9 " " relative error = 3.4499101340330390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.479999999999906 " " y[1] (analytic) = 2134420.2858107085 " " y[1] (numeric) = 2134420.285810701 " " absolute error = 7.450580596923828000000000E-9 " " relative error = 3.49068112145209660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.489999999999906 " " y[1] (analytic) = 2177538.435764374 " " y[1] (numeric) = 2177538.4357643663 " " absolute error = 7.916241884231567000000000E-9 " " relative error = 3.6354085669458020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.499999999999906 " " y[1] (analytic) = 2221527.630126578 " " y[1] (numeric) = 2221527.6301265704 " " absolute error = 7.450580596923828000000000E-9 " " relative error = 3.3538095569395690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.509999999999906 " " y[1] (analytic) = 2266405.465161596 " " y[1] (numeric) = 2266405.465161588 " " absolute error = 7.916241884231567000000000E-9 " " relative error = 3.4928621581254150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.519999999999905 " " y[1] (analytic) = 2312189.892601821 " " y[1] (numeric) = 2312189.8926018127 " " absolute error = 8.381903171539307000000000E-9 " " relative error = 3.6250929036401347000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.529999999999905 " " y[1] (analytic) = 2358899.226828696 " " y[1] (numeric) = 2358899.226828688 " " absolute error = 8.381903171539307000000000E-9 " " relative error = 3.55331125476179700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.539999999999905 " " y[1] (analytic) = 2406552.152198712 " " y[1] (numeric) = 2406552.1521987035 " " absolute error = 8.381903171539307000000000E-9 " " relative error = 3.4829509777634780000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.549999999999905 " " y[1] (analytic) = 2455167.730517397 " " y[1] (numeric) = 2455167.7305173883 " " absolute error = 8.847564458847046000000000E-9 " " relative error = 3.60364970135157600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.559999999999905 " " y[1] (analytic) = 2504765.4086642954 " " y[1] (numeric) = 2504765.408664286 " " absolute error = 9.313225746154785000000000E-9 " " relative error = 3.71820279613379270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.569999999999904 " " y[1] (analytic) = 2555365.026371977 " " y[1] (numeric) = 2555365.026371967 " " absolute error = 9.778887033462524000000000E-9 " " relative error = 3.82680632024860500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.579999999999904 " " y[1] (analytic) = 2606986.8241621945 " " y[1] (numeric) = 2606986.8241621847 " " absolute error = 9.778887033462524000000000E-9 " " relative error = 3.75103047810959200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.589999999999904 " " y[1] (analytic) = 2659651.4514423655 " " y[1] (numeric) = 2659651.4514423553 " " absolute error = 1.024454832077026400000000E-8 " " relative error = 3.8518386742798590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.599999999999904 " " y[1] (analytic) = 2713379.9747656053 " " y[1] (numeric) = 2713379.974765595 " " absolute error = 1.024454832077026400000000E-8 " " relative error = 3.7755671583207720000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.6099999999999035 " " y[1] (analytic) = 2768193.886257633 " " y[1] (numeric) = 2768193.886257623 " " absolute error = 1.024454832077026400000000E-8 " " relative error = 3.700805919566580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.619999999999903 " " y[1] (analytic) = 2824115.1122139078 " " y[1] (numeric) = 2824115.1122138975 " " absolute error = 1.024454832077026400000000E-8 " " relative error = 3.6275250525249510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.629999999999903 " " y[1] (analytic) = 2881166.0218704385 " " y[1] (numeric) = 2881166.0218704278 " " absolute error = 1.071020960807800300000000E-8 " " relative error = 3.7173177549570670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.639999999999903 " " y[1] (analytic) = 2939369.4363517766 " " y[1] (numeric) = 2939369.4363517654 " " absolute error = 1.117587089538574200000000E-8 " " relative error = 3.80213210261067750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.649999999999903 " " y[1] (analytic) = 2998748.63779977 " " y[1] (numeric) = 2998748.637799759 " " absolute error = 1.117587089538574200000000E-8 " " relative error = 3.7268448427160134000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.659999999999902 " " y[1] (analytic) = 3059327.378686732 " " y[1] (numeric) = 3059327.3786867205 " " absolute error = 1.164153218269348100000000E-8 " " relative error = 3.80525871921912700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.669999999999902 " " y[1] (analytic) = 3121129.891316744 " " y[1] (numeric) = 3121129.8913167324 " " absolute error = 1.164153218269348100000000E-8 " " relative error = 3.72990954816755370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.679999999999902 " " y[1] (analytic) = 3184180.897518903 " " y[1] (numeric) = 3184180.897518891 " " absolute error = 1.21071934700012210000000E-8 " " relative error = 3.8022944862947590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.689999999999902 " " y[1] (analytic) = 3248505.6185363806 " " y[1] (numeric) = 3248505.6185363685 " " absolute error = 1.21071934700012210000000E-8 " " relative error = 3.72700401098771560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.699999999999902 " " y[1] (analytic) = 3314129.785115259 " " y[1] (numeric) = 3314129.785115246 " " absolute error = 1.25728547573089600000000E-8 " " relative error = 3.7937122480167750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.709999999999901 " " y[1] (analytic) = 3381079.647797169 " " y[1] (numeric) = 3381079.647797156 " " absolute error = 1.3038516044616700000000E-8 " " relative error = 3.8563173313919160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.719999999999901 " " y[1] (analytic) = 3449381.987419861 " " y[1] (numeric) = 3449381.987419848 " " absolute error = 1.3038516044616700000000E-8 " " relative error = 3.7799571320802060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.729999999999901 " " y[1] (analytic) = 3519064.125829894 " " y[1] (numeric) = 3519064.1258298806 " " absolute error = 1.350417733192443800000000E-8 " " relative error = 3.8374342862364790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.739999999999900 " " y[1] (analytic) = 3590153.93681174 " " y[1] (numeric) = 3590153.936811726 " " absolute error = 1.396983861923217800000000E-8 " " relative error = 3.89115309959053860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.49999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7499999999999005 " " y[1] (analytic) = 3662679.857237668 " " y[1] (numeric) = 3662679.8572376533 " " absolute error = 1.443549990653991700000000E-8 " " relative error = 3.9412398760471880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7599999999999 " " y[1] (analytic) = 3736670.898442873 " " y[1] (numeric) = 3736670.8984428584 " " absolute error = 1.443549990653991700000000E-8 " " relative error = 3.86319809768513660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7699999999999 " " y[1] (analytic) = 3812156.657830398 " " y[1] (numeric) = 3812156.6578303836 " " absolute error = 1.443549990653991700000000E-8 " " relative error = 3.78670165007215450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7799999999999 " " y[1] (analytic) = 3889167.330710489 " " y[1] (numeric) = 3889167.330710474 " " absolute error = 1.490116119384765600000000E-8 " " relative error = 3.8314528346933974000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7899999999999 " " y[1] (analytic) = 3967733.722379119 " " y[1] (numeric) = 3967733.7223791042 " " absolute error = 1.490116119384765600000000E-8 " " relative error = 3.7555849854038770000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.7999999999998995 " " y[1] (analytic) = 4047887.260440523 " " y[1] (numeric) = 4047887.260440508 " " absolute error = 1.490116119384765600000000E-8 " " relative error = 3.68121942018365230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.809999999999900 " " y[1] (analytic) = 4129660.0073786527 " " y[1] (numeric) = 4129660.0073786373 " " absolute error = 1.536682248115539600000000E-8 " " relative error = 3.72108659155930300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.819999999999899 " " y[1] (analytic) = 4213084.673382602 " " y[1] (numeric) = 4213084.673382586 " " absolute error = 1.583248376846313500000000E-8 " " relative error = 3.75793153849707700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.829999999999899 " " y[1] (analytic) = 4298194.6294311145 " " y[1] (numeric) = 4298194.629431099 " " absolute error = 1.583248376846313500000000E-8 " " relative error = 3.6835195084124510000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.839999999999899 " " y[1] (analytic) = 4385023.920641425 " " y[1] (numeric) = 4385023.920641410 " " absolute error = 1.583248376846313500000000E-8 " " relative error = 3.6105809352454380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.849999999999898 " " y[1] (analytic) = 4473607.279887758 " " y[1] (numeric) = 4473607.279887741 " " absolute error = 1.676380634307861300000000E-8 " " relative error = 3.74726820980567030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.859999999999898 " " y[1] (analytic) = 4563980.141694939 " " y[1] (numeric) = 4563980.141694921 " " absolute error = 1.769512891769409200000000E-8 " " relative error = 3.8771266237636610000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.869999999999898 " " y[1] (analytic) = 4656178.656412677 " " y[1] (numeric) = 4656178.656412660 " " absolute error = 1.769512891769409200000000E-8 " " relative error = 3.8003543728554420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.879999999999898 " " y[1] (analytic) = 4750239.704676190 " " y[1] (numeric) = 4750239.704676172 " " absolute error = 1.769512891769409200000000E-8 " " relative error = 3.72510231436843250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.8899999999998975 " " y[1] (analytic) = 4846200.9121589465 " " y[1] (numeric) = 4846200.912158929 " " absolute error = 1.769512891769409200000000E-8 " " relative error = 3.6513403464758630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.899999999999897 " " y[1] (analytic) = 4944100.664623441 " " y[1] (numeric) = 4944100.664623423 " " absolute error = 1.86264514923095700000000E-8 " " relative error = 3.7674094351653380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.909999999999897 " " y[1] (analytic) = 5043978.123276006 " " y[1] (numeric) = 5043978.123275987 " " absolute error = 1.95577740669250500000000E-8 " " relative error = 3.8774502166600390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.919999999999897 " " y[1] (analytic) = 5145873.24043182 " " y[1] (numeric) = 5145873.2404318005 " " absolute error = 1.95577740669250500000000E-8 " " relative error = 3.8006715581831630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.929999999999897 " " y[1] (analytic) = 5249826.775496364 " " y[1] (numeric) = 5249826.775496344 " " absolute error = 1.95577740669250500000000E-8 " " relative error = 3.72541321900585750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.9399999999998965 " " y[1] (analytic) = 5355880.31126973 " " y[1] (numeric) = 5355880.31126971 " " absolute error = 2.048909664154052700000000E-8 " " relative error = 3.825532956445610300000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.949999999999896 " " y[1] (analytic) = 5464076.270580294 " " y[1] (numeric) = 5464076.270580273 " " absolute error = 2.048909664154052700000000E-8 " " relative error = 3.7497823285992590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.959999999999896 " " y[1] (analytic) = 5574457.933254411 " " y[1] (numeric) = 5574457.93325439 " " absolute error = 2.142041921615600600000000E-8 " " relative error = 3.84260128475857050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.969999999999896 " " y[1] (analytic) = 5687069.453428928 " " y[1] (numeric) = 5687069.453428905 " " absolute error = 2.235174179077148400000000E-8 " " relative error = 3.93027410229619350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.979999999999896 " " y[1] (analytic) = 5801955.8772134185 " " y[1] (numeric) = 5801955.877213396 " " absolute error = 2.235174179077148400000000E-8 " " relative error = 3.852449460802630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.989999999999895 " " y[1] (analytic) = 5919163.160709239 " " y[1] (numeric) = 5919163.160709215 " " absolute error = 2.328306436538696300000000E-8 " " relative error = 3.9335060942292340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 6.999999999999895 " " y[1] (analytic) = 6038738.188392570 " " y[1] (numeric) = 6038738.188392546 " " absolute error = 2.328306436538696300000000E-8 " " relative error = 3.8556174550075340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.009999999999895 " " y[1] (analytic) = 6160728.791868840 " " y[1] (numeric) = 6160728.791868816 " " absolute error = 2.328306436538696300000000E-8 " " relative error = 3.7792711141767550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.019999999999895 " " y[1] (analytic) = 6285183.769006004 " " y[1] (numeric) = 6285183.769005980 " " absolute error = 2.42143869400024410000000E-8 " " relative error = 3.85261399346990330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.0299999999998946 " " y[1] (analytic) = 6412152.903454337 " " y[1] (numeric) = 6412152.903454313 " " absolute error = 2.42143869400024410000000E-8 " " relative error = 3.7763271251622420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.039999999999894 " " y[1] (analytic) = 6541686.984560565 " " y[1] (numeric) = 6541686.98456054 " " absolute error = 2.51457095146179200000000E-8 " " relative error = 3.84391817798158840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.049999999999894 " " y[1] (analytic) = 6673837.827684272 " " y[1] (numeric) = 6673837.827684247 " " absolute error = 2.51457095146179200000000E-8 " " relative error = 3.76780349835727560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.059999999999894 " " y[1] (analytic) = 6808658.294924744 " " y[1] (numeric) = 6808658.294924718 " " absolute error = 2.6077032089233400000000E-8 " " relative error = 3.82998102705073800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.069999999999894 " " y[1] (analytic) = 6946202.316266508 " " y[1] (numeric) = 6946202.316266480 " " absolute error = 2.700835466384887700000000E-8 " " relative error = 3.88821883298750670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.0799999999998935 " " y[1] (analytic) = 7086524.911152042 " " y[1] (numeric) = 7086524.911152015 " " absolute error = 2.700835466384887700000000E-8 " " relative error = 3.8112269416206960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.089999999999893 " " y[1] (analytic) = 7229682.210490297 " " y[1] (numeric) = 7229682.21049027 " " absolute error = 2.700835466384887700000000E-8 " " relative error = 3.73575959184757170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.099999999999893 " " y[1] (analytic) = 7375731.479109796 " " y[1] (numeric) = 7375731.479109768 " " absolute error = 2.793967723846435500000000E-8 " " relative error = 3.78805509902273400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.109999999999893 " " y[1] (analytic) = 7524731.138665335 " " y[1] (numeric) = 7524731.138665307 " " absolute error = 2.793967723846435500000000E-8 " " relative error = 3.71304658247497530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.119999999999893 " " y[1] (analytic) = 7676740.7910074275 " " y[1] (numeric) = 7676740.791007399 " " absolute error = 2.887099981307983400000000E-8 " " relative error = 3.7608407785370930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.129999999999892 " " y[1] (analytic) = 7831821.242023831 " " y[1] (numeric) = 7831821.242023801 " " absolute error = 2.980232238769531000000000E-8 " " relative error = 3.80528633975742440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.139999999999892 " " y[1] (analytic) = 7990034.525962720 " " y[1] (numeric) = 7990034.52596269 " " absolute error = 3.07336449623107900000000E-8 " " relative error = 3.84649714121325260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.149999999999892 " " y[1] (analytic) = 8151443.930247208 " " y[1] (numeric) = 8151443.930247177 " " absolute error = 3.07336449623107900000000E-8 " " relative error = 3.7703313946954590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.159999999999892 " " y[1] (analytic) = 8316114.020791163 " " y[1] (numeric) = 8316114.020791132 " " absolute error = 3.07336449623107900000000E-8 " " relative error = 3.6956738310072990000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999992 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.169999999999892 " " y[1] (analytic) = 8484110.667826433 " " y[1] (numeric) = 8484110.667826401 " " absolute error = 3.16649675369262700000000E-8 " " relative error = 3.73226714934384530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.179999999999891 " " y[1] (analytic) = 8655501.072251817 " " y[1] (numeric) = 8655501.072251784 " " absolute error = 3.352761268615722700000000E-8 " " relative error = 3.8735611498728256000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.189999999999891 " " y[1] (analytic) = 8830353.79251432 " " y[1] (numeric) = 8830353.792514287 " " absolute error = 3.352761268615722700000000E-8 " " relative error = 3.7968595000779360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.199999999999891 " " y[1] (analytic) = 9008738.772033451 " " y[1] (numeric) = 9008738.772033418 " " absolute error = 3.352761268615722700000000E-8 " " relative error = 3.7216766447085440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.209999999999890 " " y[1] (analytic) = 9190727.367179513 " " y[1] (numeric) = 9190727.36717948 " " absolute error = 3.352761268615722700000000E-8 " " relative error = 3.64798250962005350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.2199999999998905 " " y[1] (analytic) = 9376392.375817113 " " y[1] (numeric) = 9376392.375817077 " " absolute error = 3.539025783538818400000000E-8 " " relative error = 3.7744002615189270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.22999999999989 " " y[1] (analytic) = 9565808.066425271 " " y[1] (numeric) = 9565808.066425234 " " absolute error = 3.72529029846191400000000E-8 " " relative error = 3.89438118828370900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.23999999999989 " " y[1] (analytic) = 9759050.207805807 " " y[1] (numeric) = 9759050.20780577 " " absolute error = 3.72529029846191400000000E-8 " " relative error = 3.8172672741064790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.24999999999989 " " y[1] (analytic) = 9956196.09939187 " " y[1] (numeric) = 9956196.099391831 " " absolute error = 3.9115548133850100000000E-8 " " relative error = 3.928764333623289700000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.25999999999989 " " y[1] (analytic) = 10157324.60216874 " " y[1] (numeric) = 10157324.602168702 " " absolute error = 3.9115548133850100000000E-8 " " relative error = 3.8509695875524486000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.269999999999890 " " y[1] (analytic) = 10362516.170219278 " " y[1] (numeric) = 10362516.170219239 " " absolute error = 3.9115548133850100000000E-8 " " relative error = 3.77471528066357530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.279999999999890 " " y[1] (analytic) = 10571852.882906629 " " y[1] (numeric) = 10571852.882906588 " " absolute error = 4.097819328308105500000000E-8 " " relative error = 3.8761600011798970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.289999999999889 " " y[1] (analytic) = 10785418.477707058 " " y[1] (numeric) = 10785418.477707017 " " absolute error = 4.097819328308105500000000E-8 " " relative error = 3.79940689068124840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.299999999999889 " " y[1] (analytic) = 11003298.383706069 " " y[1] (numeric) = 11003298.383706028 " " absolute error = 4.097819328308105500000000E-8 " " relative error = 3.72417359359830500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.309999999999889 " " y[1] (analytic) = 11225579.755771164 " " y[1] (numeric) = 11225579.755771121 " " absolute error = 4.28408384323120100000000E-8 " " relative error = 3.8163586526822530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.319999999999888 " " y[1] (analytic) = 11452351.509414958 " " y[1] (numeric) = 11452351.509414915 " " absolute error = 4.28408384323120100000000E-8 " " relative error = 3.7407896882219020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.329999999999888 " " y[1] (analytic) = 11683704.356362574 " " y[1] (numeric) = 11683704.356362531 " " absolute error = 4.28408384323120100000000E-8 " " relative error = 3.6667170895147010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.339999999999888 " " y[1] (analytic) = 11919730.840837538 " " y[1] (numeric) = 11919730.840837494 " " absolute error = 4.47034835815429700000000E-8 " " relative error = 3.7503769320349756000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.349999999999888 " " y[1] (analytic) = 12160525.3765807 " " y[1] (numeric) = 12160525.376580654 " " absolute error = 4.656612873077392600000000E-8 " " relative error = 3.82928593039681630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.3599999999998875 " " y[1] (analytic) = 12406184.284616994 " " y[1] (numeric) = 12406184.284616947 " " absolute error = 4.656612873077392600000000E-8 " " relative error = 3.7534609886871850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.369999999999887 " " y[1] (analytic) = 12656805.83178513 " " y[1] (numeric) = 12656805.831785083 " " absolute error = 4.656612873077392600000000E-8 " " relative error = 3.6791374814198430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.379999999999887 " " y[1] (analytic) = 12912490.270045642 " " y[1] (numeric) = 12912490.270045593 " " absolute error = 4.84287738800048830000000E-8 " " relative error = 3.75053710532892440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.389999999999887 " " y[1] (analytic) = 13173339.876583004 " " y[1] (numeric) = 13173339.876582954 " " absolute error = 5.02914190292358400000000E-8 " " relative error = 3.8176665523246783000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.399999999999887 " " y[1] (analytic) = 13439458.994717872 " " y[1] (numeric) = 13439458.994717821 " " absolute error = 5.02914190292358400000000E-8 " " relative error = 3.7420716897162260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.4099999999998865 " " y[1] (analytic) = 13710954.075645804 " " y[1] (numeric) = 13710954.075645752 " " absolute error = 5.2154064178466800000000E-8 " " relative error = 3.8038245836667110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.419999999999886 " " y[1] (analytic) = 13987933.721019153 " " y[1] (numeric) = 13987933.721019099 " " absolute error = 5.401670932769775000000000E-8 " " relative error = 3.8616646607732230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.429999999999886 " " y[1] (analytic) = 14270508.726389177 " " y[1] (numeric) = 14270508.726389123 " " absolute error = 5.401670932769775000000000E-8 " " relative error = 3.7851985772454960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.439999999999886 " " y[1] (analytic) = 14558792.125525745 " " y[1] (numeric) = 14558792.125525689 " " absolute error = 5.58793544769287100000000E-8 " " relative error = 3.83818616236412560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.449999999999886 " " y[1] (analytic) = 14852899.23563234 " " y[1] (numeric) = 14852899.235632282 " " absolute error = 5.77419996261596700000000E-8 " " relative error = 3.88759115039545240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.459999999999885 " " y[1] (analytic) = 15152947.703474483 " " y[1] (numeric) = 15152947.703474425 " " absolute error = 5.77419996261596700000000E-8 " " relative error = 3.81061168797670700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.469999999999885 " " y[1] (analytic) = 15459057.552440012 " " y[1] (numeric) = 15459057.552439954 " " absolute error = 5.77419996261596700000000E-8 " " relative error = 3.73515652104198570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.479999999999885 " " y[1] (analytic) = 15771351.230550034 " " y[1] (numeric) = 15771351.230549974 " " absolute error = 5.96046447753906200000000E-8 " " relative error = 3.7792985460835420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.489999999999885 " " y[1] (analytic) = 16089953.659439761 " " y[1] (numeric) = 16089953.659439702 " " absolute error = 5.96046447753906200000000E-8 " " relative error = 3.70446342090123840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.4999999999998845 " " y[1] (analytic) = 16414992.28432884 " " y[1] (numeric) = 16414992.28432878 " " absolute error = 6.14672899246215800000000E-8 " " relative error = 3.74458232205832500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.509999999999884 " " y[1] (analytic) = 16746597.125001134 " " y[1] (numeric) = 16746597.125001071 " " absolute error = 6.33299350738525400000000E-8 " " relative error = 3.78165991581100100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.519999999999884 " " y[1] (analytic) = 17084900.827814367 " " y[1] (numeric) = 17084900.827814303 " " absolute error = 6.33299350738525400000000E-8 " " relative error = 3.70677803237528000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.529999999999884 " " y[1] (analytic) = 17430038.71876044 " " y[1] (numeric) = 17430038.718760375 " " absolute error = 6.33299350738525400000000E-8 " " relative error = 3.63337890957687650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.539999999999884 " " y[1] (analytic) = 17782148.85759763 " " y[1] (numeric) = 17782148.857597563 " " absolute error = 6.70552253723144500000000E-8 " " relative error = 3.770929256599060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.5499999999998835 " " y[1] (analytic) = 18141372.093076337 " " y[1] (numeric) = 18141372.09307627 " " absolute error = 6.70552253723144500000000E-8 " " relative error = 3.69625985445203000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.559999999999883 " " y[1] (analytic) = 18507852.119280465 " " y[1] (numeric) = 18507852.119280394 " " absolute error = 7.07805156707763700000000E-8 " " relative error = 3.82435061694928470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.569999999999883 " " y[1] (analytic) = 18881735.533106953 " " y[1] (numeric) = 18881735.533106882 " " absolute error = 7.07805156707763700000000E-8 " " relative error = 3.74862340099356150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.579999999999883 " " y[1] (analytic) = 19263171.892906517 " " y[1] (numeric) = 19263171.892906442 " " absolute error = 7.45058059692382800000000E-8 " " relative error = 3.8677849309268925000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.589999999999883 " " y[1] (analytic) = 19652313.778308958 " " y[1] (numeric) = 19652313.778308883 " " absolute error = 7.45058059692382800000000E-8 " " relative error = 3.79119765793040200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.599999999999882 " " y[1] (analytic) = 20049316.851257067 " " y[1] (numeric) = 20049316.85125699 " " absolute error = 7.8231096267700200000000E-8 " " relative error = 3.9019332602744120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.609999999999882 " " y[1] (analytic) = 20454339.918273468 " " y[1] (numeric) = 20454339.91827339 " " absolute error = 7.8231096267700200000000E-8 " " relative error = 3.82466980505248240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.619999999999882 " " y[1] (analytic) = 20867544.993985344 " " y[1] (numeric) = 20867544.993985265 " " absolute error = 7.8231096267700200000000E-8 " " relative error = 3.7489362687488520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.629999999999882 " " y[1] (analytic) = 21289097.36593246 " " y[1] (numeric) = 21289097.36593238 " " absolute error = 8.19563865661621100000000E-8 " " relative error = 3.84968818346011700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.6399999999998816 " " y[1] (analytic) = 21719165.660684362 " " y[1] (numeric) = 21719165.66068428 " " absolute error = 8.19563865661621100000000E-8 " " relative error = 3.77345925007230240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.649999999999881 " " y[1] (analytic) = 22157921.911293276 " " y[1] (numeric) = 22157921.911293194 " " absolute error = 8.19563865661621100000000E-8 " " relative error = 3.6987397506979760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.659999999999881 " " y[1] (analytic) = 22605541.626109604 " " y[1] (numeric) = 22605541.62610952 " " absolute error = 8.19563865661621100000000E-8 " " relative error = 3.6254997965411160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.669999999999881 " " y[1] (analytic) = 23062203.85898762 " " y[1] (numeric) = 23062203.858987533 " " absolute error = 8.56816768646240200000000E-8 " " relative error = 3.7152423674909480000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.679999999999880 " " y[1] (analytic) = 23528091.280909378 " " y[1] (numeric) = 23528091.28090929 " " absolute error = 8.94069671630859400000000E-8 " " relative error = 3.80000936308974970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.6899999999998805 " " y[1] (analytic) = 24003390.253055565 " " y[1] (numeric) = 24003390.253055476 " " absolute error = 8.94069671630859400000000E-8 " " relative error = 3.7247641362538230000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.69999999999988 " " y[1] (analytic) = 24488290.901352447 " " y[1] (numeric) = 24488290.901352353 " " absolute error = 9.31322574615478500000000E-8 " " relative error = 3.8031342341006047000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.70999999999988 " " y[1] (analytic) = 24982987.19252477 " " y[1] (numeric) = 24982987.19252467 " " absolute error = 9.68575477600097700000000E-8 " " relative error = 3.8769402158998340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.500000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.71999999999988 " " y[1] (analytic) = 25487677.011685036 " " y[1] (numeric) = 25487677.011684936 " " absolute error = 1.00582838058471680000000E-7 " " relative error = 3.9463321044267250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.72999999999988 " " y[1] (analytic) = 26002562.2414902 " " y[1] (numeric) = 26002562.2414901 " " absolute error = 1.00582838058471680000000E-7 " " relative error = 3.86818949318693300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.739999999999880 " " y[1] (analytic) = 26527848.842897415 " " y[1] (numeric) = 26527848.84289731 " " absolute error = 1.0430812835693360000000E-7 " " relative error = 3.9320236244810003000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.749999999999880 " " y[1] (analytic) = 27063746.937551152 " " y[1] (numeric) = 27063746.937551048 " " absolute error = 1.0430812835693360000000E-7 " " relative error = 3.85416434012709750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.759999999999879 " " y[1] (analytic) = 27610470.891834684 " " y[1] (numeric) = 27610470.891834576 " " absolute error = 1.08033418655395510000000E-7 " " relative error = 3.9127698719308880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.769999999999879 " " y[1] (analytic) = 28168239.402619466 " " y[1] (numeric) = 28168239.40261936 " " absolute error = 1.08033418655395510000000E-7 " " relative error = 3.8352918374213013000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.779999999999879 " " y[1] (analytic) = 28737275.584746834 " " y[1] (numeric) = 28737275.584746722 " " absolute error = 1.11758708953857420000000E-7 " " relative error = 3.8889806594323330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.789999999999878 " " y[1] (analytic) = 29317807.060276877 " " y[1] (numeric) = 29317807.060276765 " " absolute error = 1.11758708953857420000000E-7 " " relative error = 3.81197368289120540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.799999999999878 " " y[1] (analytic) = 29910066.04954034 " " y[1] (numeric) = 29910066.049540225 " " absolute error = 1.15483999252319340000000E-7 " " relative error = 3.86104126487190060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.809999999999878 " " y[1] (analytic) = 30514289.46402982 " " y[1] (numeric) = 30514289.4640297 " " absolute error = 1.19209289550781250000000E-7 " " relative error = 3.90667099397169040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.819999999999878 " " y[1] (analytic) = 31130719.00116752 " " y[1] (numeric) = 31130719.0011674 " " absolute error = 1.19209289550781250000000E-7 " " relative error = 3.8293137253370360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.8299999999998775 " " y[1] (analytic) = 31759601.240987483 " " y[1] (numeric) = 31759601.24098736 " " absolute error = 1.22934579849243160000000E-7 " " relative error = 3.8707847405397970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.839999999999877 " " y[1] (analytic) = 32401187.744770832 " " y[1] (numeric) = 32401187.74477071 " " absolute error = 1.22934579849243160000000E-7 " " relative error = 3.7941380673331443000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.849999999999877 " " y[1] (analytic) = 33055735.155673686 " " y[1] (numeric) = 33055735.155673563 " " absolute error = 1.22934579849243160000000E-7 " " relative error = 3.71900909994260600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.859999999999877 " " y[1] (analytic) = 33723505.301387824 " " y[1] (numeric) = 33723505.3013877 " " absolute error = 1.26659870147705080000000E-7 " " relative error = 3.75583347625766000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.869999999999877 " " y[1] (analytic) = 34404765.29887524 " " y[1] (numeric) = 34404765.298875116 " " absolute error = 1.26659870147705080000000E-7 " " relative error = 3.681462990588860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.879999999999876 " " y[1] (analytic) = 35099787.66121854 " " y[1] (numeric) = 35099787.661218405 " " absolute error = 1.3411045074462890000000E-7 " " relative error = 3.82083367680330470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.889999999999876 " " y[1] (analytic) = 35808850.40662973 " " y[1] (numeric) = 35808850.40662959 " " absolute error = 1.3411045074462890000000E-7 " " relative error = 3.7451761009283730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.899999999999876 " " y[1] (analytic) = 36532237.16966127 " " y[1] (numeric) = 36532237.169661134 " " absolute error = 1.3411045074462890000000E-7 " " relative error = 3.671016645430159600000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.909999999999876 " " y[1] (analytic) = 37270237.31466367 " " y[1] (numeric) = 37270237.31466353 " " absolute error = 1.41561031341552730000000E-7 " " relative error = 3.79823262584530640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.919999999999876 " " y[1] (analytic) = 38023146.051535055 " " y[1] (numeric) = 38023146.05153491 " " absolute error = 1.41561031341552730000000E-7 " " relative error = 3.72302258076400550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.929999999999875 " " y[1] (analytic) = 38791264.5538091 " " y[1] (numeric) = 38791264.55380895 " " absolute error = 1.49011611938476560000000E-7 " " relative error = 3.8413703098483910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.939999999999875 " " y[1] (analytic) = 39574900.079128414 " " y[1] (numeric) = 39574900.079128265 " " absolute error = 1.49011611938476560000000E-7 " " relative error = 3.76530608139335500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.949999999999875 " " y[1] (analytic) = 40374366.09215176 " " y[1] (numeric) = 40374366.092151605 " " absolute error = 1.5646219253540040000000E-7 " " relative error = 3.8752854268544060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.959999999999875 " " y[1] (analytic) = 41189982.38994402 " " y[1] (numeric) = 41189982.38994386 " " absolute error = 1.5646219253540040000000E-7 " " relative error = 3.79854963408769340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.9699999999998745 " " y[1] (analytic) = 42022075.22989935 " " y[1] (numeric) = 42022075.22989918 " " absolute error = 1.63912773132324220000000E-7 " " relative error = 3.9006348980998870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.979999999999874 " " y[1] (analytic) = 42870977.46024843 " " y[1] (numeric) = 42870977.46024827 " " absolute error = 1.63912773132324220000000E-7 " " relative error = 3.82339715217154150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.989999999999874 " " y[1] (analytic) = 43737028.65320228 " " y[1] (numeric) = 43737028.65320211 " " absolute error = 1.71363353729248050000000E-7 " " relative error = 3.9180383077235265000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 7.999999999999874 " " y[1] (analytic) = 44620575.24078556 " " y[1] (numeric) = 44620575.24078539 " " absolute error = 1.71363353729248050000000E-7 " " relative error = 3.8404559511956470000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.009999999999874 " " y[1] (analytic) = 45521970.65341410 " " y[1] (numeric) = 45521970.65341392 " " absolute error = 1.71363353729248050000000E-7 " " relative error = 3.7644098282550080000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.019999999999873 " " y[1] (analytic) = 46441575.46127169 " " y[1] (numeric) = 46441575.46127152 " " absolute error = 1.71363353729248050000000E-7 " " relative error = 3.6898695194384710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.029999999999873 " " y[1] (analytic) = 47379757.51854306 " " y[1] (numeric) = 47379757.51854288 " " absolute error = 1.78813934326171870000000E-7 " " relative error = 3.77405760796030440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.039999999999873 " " y[1] (analytic) = 48336892.110560365 " " y[1] (numeric) = 48336892.110560186 " " absolute error = 1.78813934326171870000000E-7 " " relative error = 3.69932626030595850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.049999999999873 " " y[1] (analytic) = 49313362.10392238 " " y[1] (numeric) = 49313362.1039222 " " absolute error = 1.78813934326171870000000E-7 " " relative error = 3.6260746924807430000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.059999999999873 " " y[1] (analytic) = 50309558.09964623 " " y[1] (numeric) = 50309558.09964605 " " absolute error = 1.8626451492309570000000E-7 " " relative error = 3.7023683363341940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.069999999999872 " " y[1] (analytic) = 51325878.589412995 " " y[1] (numeric) = 51325878.5894128 " " absolute error = 1.93715095520019530000000E-7 " " relative error = 3.77421879262242630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.079999999999872 " " y[1] (analytic) = 52362730.114969686 " " y[1] (numeric) = 52362730.11496949 " " absolute error = 1.93715095520019530000000E-7 " " relative error = 3.69948425329792700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.089999999999872 " " y[1] (analytic) = 53420527.43075141 " " y[1] (numeric) = 53420527.43075121 " " absolute error = 2.01165676116943360000000E-7 " " relative error = 3.7656999245788570000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.099999999999872 " " y[1] (analytic) = 54499693.669788636 " " y[1] (numeric) = 54499693.66978843 " " absolute error = 2.0861625671386720000000E-7 " " relative error = 3.82784273940812160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.109999999999872 " " y[1] (analytic) = 55600660.512966044 " " y[1] (numeric) = 55600660.51296583 " " absolute error = 2.16066837310791020000000E-7 " " relative error = 3.8860480310374074000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.119999999999871 " " y[1] (analytic) = 56723868.36170066 " " y[1] (numeric) = 56723868.361700445 " " absolute error = 2.16066837310791020000000E-7 " " relative error = 3.80909912442919700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.129999999999871 " " y[1] (analytic) = 57869766.514108285 " " y[1] (numeric) = 57869766.51410807 " " absolute error = 2.16066837310791020000000E-7 " " relative error = 3.73367390825942340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.139999999999871 " " y[1] (analytic) = 59038813.34472873 " " y[1] (numeric) = 59038813.34472850 " " absolute error = 2.23517417907714840000000E-7 " " relative error = 3.7859402187268310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.14999999999987 " " y[1] (analytic) = 60231476.48788174 " " y[1] (numeric) = 60231476.48788151 " " absolute error = 2.30967998504638670000000E-7 " " relative error = 3.83467269893521900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.15999999999987 " " y[1] (analytic) = 61448233.02472696 " " y[1] (numeric) = 61448233.024726726 " " absolute error = 2.30967998504638670000000E-7 " " relative error = 3.75874109206193850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.16999999999987 " " y[1] (analytic) = 62689569.67410277 " " y[1] (numeric) = 62689569.67410253 " " absolute error = 2.3841857910156250000000E-7 " " relative error = 3.80316183921826870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.17999999999987 " " y[1] (analytic) = 63955982.98722029 " " y[1] (numeric) = 63955982.98722005 " " absolute error = 2.3841857910156250000000E-7 " " relative error = 3.72785418917262860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.18999999999987 " " y[1] (analytic) = 65247979.54629051 " " y[1] (numeric) = 65247979.54629026 " " absolute error = 2.45869159698486330000000E-7 " " relative error = 3.7682264095864176000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.19999999999987 " " y[1] (analytic) = 66566076.1671639 " " y[1] (numeric) = 66566076.167163655 " " absolute error = 2.45869159698486330000000E-7 " " relative error = 3.6936105273960873000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.20999999999987 " " y[1] (analytic) = 67910800.10606368 " " y[1] (numeric) = 67910800.10606343 " " absolute error = 2.53319740295410160000000E-7 " " relative error = 3.7301834155947683000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.21999999999987 " " y[1] (analytic) = 69282689.27049528 " " y[1] (numeric) = 69282689.27049503 " " absolute error = 2.53319740295410160000000E-7 " " relative error = 3.6563208351568550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.229999999999869 " " y[1] (analytic) = 70682292.43441659 " " y[1] (numeric) = 70682292.43441634 " " absolute error = 2.53319740295410160000000E-7 " " relative error = 3.5839208318045980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.239999999999869 " " y[1] (analytic) = 72110169.4577548 " " y[1] (numeric) = 72110169.45775454 " " absolute error = 2.6822090148925780000000E-7 " " relative error = 3.71959882366374100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.249999999999869 " " y[1] (analytic) = 73566891.51035786 " " y[1] (numeric) = 73566891.51035759 " " absolute error = 2.6822090148925780000000E-7 " " relative error = 3.64594583218856850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.259999999999868 " " y[1] (analytic) = 75053041.30047002 " " y[1] (numeric) = 75053041.30046974 " " absolute error = 2.83122062683105470000000E-7 " " relative error = 3.7722930047517260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.269999999999868 " " y[1] (analytic) = 76569213.30782293 " " y[1] (numeric) = 76569213.30782264 " " absolute error = 2.83122062683105470000000E-7 " " relative error = 3.69759659858199750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.279999999999868 " " y[1] (analytic) = 78116014.02143542 " " y[1] (numeric) = 78116014.02143513 " " absolute error = 2.9802322387695310000000E-7 " " relative error = 3.81513608458278600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.289999999999868 " " y[1] (analytic) = 79694062.18221724 " " y[1] (numeric) = 79694062.18221693 " " absolute error = 3.1292438507080080000000E-7 " " relative error = 3.9265708950224154000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.299999999999867 " " y[1] (analytic) = 81303989.03047359 " " y[1] (numeric) = 81303989.03047328 " " absolute error = 3.1292438507080080000000E-7 " " relative error = 3.84881958194589200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.309999999999867 " " y[1] (analytic) = 82946438.55840978 " " y[1] (numeric) = 82946438.55840945 " " absolute error = 3.27825546264648440000000E-7 " " relative error = 3.9522558407833030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.319999999999867 " " y[1] (analytic) = 84622067.76773658 " " y[1] (numeric) = 84622067.76773626 " " absolute error = 3.27825546264648440000000E-7 " " relative error = 3.87399593170467070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.329999999999867 " " y[1] (analytic) = 86331546.93247977 " " y[1] (numeric) = 86331546.93247943 " " absolute error = 3.4272670745849610000000E-7 " " relative error = 3.9698895668641730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.339999999999867 " " y[1] (analytic) = 88075559.86709858 " " y[1] (numeric) = 88075559.86709823 " " absolute error = 3.57627868652343750000000E-7 " " relative error = 4.0604665947282710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.349999999999866 " " y[1] (analytic) = 89854804.20002069 " " y[1] (numeric) = 89854804.20002033 " " absolute error = 3.57627868652343750000000E-7 " " relative error = 3.98006396915905100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.359999999999866 " " y[1] (analytic) = 91669991.65270284 " " y[1] (numeric) = 91669991.65270247 " " absolute error = 3.7252902984619140000000E-7 " " relative error = 4.06380564817262760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.369999999999866 " " y[1] (analytic) = 93521848.32432891 " " y[1] (numeric) = 93521848.32432854 " " absolute error = 3.7252902984619140000000E-7 " " relative error = 3.983336904915310000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.379999999999866 " " y[1] (analytic) = 95411114.98225932 " " y[1] (numeric) = 95411114.98225895 " " absolute error = 3.7252902984619140000000E-7 " " relative error = 3.90446154953182600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.389999999999866 " " y[1] (analytic) = 97338547.3583478 " " y[1] (numeric) = 97338547.35834742 " " absolute error = 3.87430191040039060000000E-7 " " relative error = 3.98023395206146900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.399999999999865 " " y[1] (analytic) = 99304916.45124422 " " y[1] (numeric) = 99304916.45124382 " " absolute error = 4.0233135223388670000000E-7 " " relative error = 4.0514746561558157000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.409999999999865 " " y[1] (analytic) = 101311008.83480433 " " y[1] (numeric) = 101311008.83480392 " " absolute error = 4.0233135223388670000000E-7 " " relative error = 3.9712500828998760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.419999999999865 " " y[1] (analytic) = 103357626.97272983 " " y[1] (numeric) = 103357626.97272941 " " absolute error = 4.1723251342773440000000E-7 " " relative error = 4.03678495383623800000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.429999999999865 " " y[1] (analytic) = 105445589.53956449 " " y[1] (numeric) = 105445589.53956406 " " absolute error = 4.32133674621582030000000E-7 " " relative error = 4.0981673724669170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.439999999999864 " " y[1] (analytic) = 107575731.7481749 " " y[1] (numeric) = 107575731.74817447 " " absolute error = 4.32133674621582030000000E-7 " " relative error = 4.0170182214811050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.449999999999864 " " y[1] (analytic) = 109748905.68384682 " " y[1] (numeric) = 109748905.68384637 " " absolute error = 4.4703483581542970000000E-7 " " relative error = 4.07325096346018270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.459999999999864 " " y[1] (analytic) = 111965980.64513052 " " y[1] (numeric) = 111965980.64513005 " " absolute error = 4.61935997009277340000000E-7 " " relative error = 4.1256816967767730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.469999999999864 " " y[1] (analytic) = 114227843.4915719 " " y[1] (numeric) = 114227843.49157144 " " absolute error = 4.61935997009277340000000E-7 " " relative error = 4.04398772566655740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.479999999999864 " " y[1] (analytic) = 116535398.99846815 " " y[1] (numeric) = 116535398.99846767 " " absolute error = 4.768371582031250000000E-7 " " relative error = 4.09177951335965350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.489999999999863 " " y[1] (analytic) = 118889570.2187898 " " y[1] (numeric) = 118889570.21878932 " " absolute error = 4.768371582031250000000E-7 " " relative error = 4.0107568504588950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.499999999999863 " " y[1] (analytic) = 121291298.85241438 " " y[1] (numeric) = 121291298.8524139 " " absolute error = 4.9173831939697266000000E-7 " " relative error = 4.05419287326878400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.509999999999863 " " y[1] (analytic) = 123741545.62281881 " " y[1] (numeric) = 123741545.6228183 " " absolute error = 5.0663948059082030000000E-7 " " relative error = 4.0943361264867890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.519999999999863 " " y[1] (analytic) = 126241290.66138165 " " y[1] (numeric) = 126241290.66138113 " " absolute error = 5.215406417846680000000E-7 " " relative error = 4.13129998158527970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.529999999999863 " " y[1] (analytic) = 128791533.89944868 " " y[1] (numeric) = 128791533.89944814 " " absolute error = 5.3644180297851560000000E-7 " " relative error = 4.16519461129589040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.539999999999862 " " y[1] (analytic) = 131393295.46831882 " " y[1] (numeric) = 131393295.46831828 " " absolute error = 5.3644180297851560000000E-7 " " relative error = 4.08271823205667960000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.549999999999862 " " y[1] (analytic) = 134047616.10731027 " " y[1] (numeric) = 134047616.10730971 " " absolute error = 5.5134296417236330000000E-7 " " relative error = 4.11303818884024060000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.559999999999862 " " y[1] (analytic) = 136755557.58007002 " " y[1] (numeric) = 136755557.58006945 " " absolute error = 5.6624412536621090000000E-7 " " relative error = 4.14055659152774400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.569999999999862 " " y[1] (analytic) = 139518203.09929353 " " y[1] (numeric) = 139518203.09929296 " " absolute error = 5.6624412536621090000000E-7 " " relative error = 4.0585680777670380000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.579999999999862 " " y[1] (analytic) = 142336657.76002428 " " y[1] (numeric) = 142336657.76002368 " " absolute error = 5.9604644775390620000000E-7 " " relative error = 4.18758215300252650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.589999999999861 " " y[1] (analytic) = 145212048.98170644 " " y[1] (numeric) = 145212048.98170584 " " absolute error = 5.9604644775390620000000E-7 " " relative error = 4.10466247073612400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.599999999999861 " " y[1] (analytic) = 148145526.95916775 " " y[1] (numeric) = 148145526.95916715 " " absolute error = 5.9604644775390620000000E-7 " " relative error = 4.0233847081875790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.60999999999986 " " y[1] (analytic) = 151138265.12271276 " " y[1] (numeric) = 151138265.12271214 " " absolute error = 6.2584877014160160000000E-7 " " relative error = 4.14090217082656030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.61999999999986 " " y[1] (analytic) = 154191460.60751057 " " y[1] (numeric) = 154191460.60750994 " " absolute error = 6.2584877014160160000000E-7 " " relative error = 4.058906814137260300000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.62999999999986 " " y[1] (analytic) = 157306334.73246494 " " y[1] (numeric) = 157306334.7324643 " " absolute error = 6.2584877014160160000000E-7 " " relative error = 3.97853507429309250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.63999999999986 " " y[1] (analytic) = 160484133.4887581 " " y[1] (numeric) = 160484133.48875743 " " absolute error = 6.5565109252929690000000E-7 " " relative error = 4.0854574111229830000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.64999999999986 " " y[1] (analytic) = 163726128.03826368 " " y[1] (numeric) = 163726128.03826302 " " absolute error = 6.5565109252929690000000E-7 " " relative error = 4.00455993423400100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.65999999999986 " " y[1] (analytic) = 167033615.22202873 " " y[1] (numeric) = 167033615.22202808 " " absolute error = 6.5565109252929690000000E-7 " " relative error = 3.92526433471355700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.66999999999986 " " y[1] (analytic) = 170407918.07902715 " " y[1] (numeric) = 170407918.0790265 " " absolute error = 6.5565109252929690000000E-7 " " relative error = 3.8475388932645543000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.67999999999986 " " y[1] (analytic) = 173850386.37539306 " " y[1] (numeric) = 173850386.37539238 " " absolute error = 6.8545341491699220000000E-7 " " relative error = 3.94277763315924350000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.68999999999986 " " y[1] (analytic) = 177362397.14434516 " " y[1] (numeric) = 177362397.14434448 " " absolute error = 6.8545341491699220000000E-7 " " relative error = 3.86470540516624050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.699999999999859 " " y[1] (analytic) = 180945355.23701853 " " y[1] (numeric) = 180945355.2370178 " " absolute error = 7.1525573730468750000000E-7 " " relative error = 3.952882550468240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.709999999999859 " " y[1] (analytic) = 184600693.88442355 " " y[1] (numeric) = 184600693.88442284 " " absolute error = 7.1525573730468750000000E-7 " " relative error = 3.87461023170639460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.719999999999859 " " y[1] (analytic) = 188329875.2707578 " " y[1] (numeric) = 188329875.27075705 " " absolute error = 7.4505805969238280000000E-7 " " relative error = 3.9561331340618633000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.729999999999858 " " y[1] (analytic) = 192134391.1182988 " " y[1] (numeric) = 192134391.11829805 " " absolute error = 7.4505805969238280000000E-7 " " relative error = 3.8777964494323364000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.739999999999858 " " y[1] (analytic) = 196015763.28411317 " " y[1] (numeric) = 196015763.2841124 " " absolute error = 7.7486038208007810000000E-7 " " relative error = 3.95305137249071240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.749999999999858 " " y[1] (analytic) = 199975544.3688195 " " y[1] (numeric) = 199975544.36881873 " " absolute error = 7.7486038208007810000000E-7 " " relative error = 3.87477571082884660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.759999999999858 " " y[1] (analytic) = 204015318.33764955 " " y[1] (numeric) = 204015318.33764875 " " absolute error = 8.0466270446777340000000E-7 " " relative error = 3.94412885769704850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.769999999999857 " " y[1] (analytic) = 208136701.15405515 " " y[1] (numeric) = 208136701.15405434 " " absolute error = 8.0466270446777340000000E-7 " " relative error = 3.8660298736655370000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.779999999999857 " " y[1] (analytic) = 212341341.4261154 " " y[1] (numeric) = 212341341.42611456 " " absolute error = 8.3446502685546870000000E-7 " " relative error = 3.9298283662101790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.789999999999857 " " y[1] (analytic) = 216630921.06600168 " " y[1] (numeric) = 216630921.06600085 " " absolute error = 8.3446502685546870000000E-7 " " relative error = 3.8520125508824726000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.799999999999857 " " y[1] (analytic) = 221007155.9627652 " " y[1] (numeric) = 221007155.96276432 " " absolute error = 8.6426734924316410000000E-7 " " relative error = 3.9105853630765420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.809999999999857 " " y[1] (analytic) = 225471796.66871518 " " y[1] (numeric) = 225471796.66871428 " " absolute error = 8.9406967163085940000000E-7 " " relative error = 3.9653281911108040000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.819999999999856 " " y[1] (analytic) = 230026629.09966335 " " y[1] (numeric) = 230026629.09966242 " " absolute error = 9.2387199401855470000000E-7 " " relative error = 4.0163697465577775000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.829999999999856 " " y[1] (analytic) = 234673475.24931398 " " y[1] (numeric) = 234673475.24931306 " " absolute error = 9.2387199401855470000000E-7 " " relative error = 3.93684029708532400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.839999999999856 " " y[1] (analytic) = 239414193.91808572 " " y[1] (numeric) = 239414193.9180848 " " absolute error = 9.2387199401855470000000E-7 " " relative error = 3.85888563622360850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.849999999999856 " " y[1] (analytic) = 244250681.45665655 " " y[1] (numeric) = 244250681.4566556 " " absolute error = 9.53674316406250000000E-7 " " relative error = 3.90448989013561500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.859999999999856 " " y[1] (analytic) = 249184872.52452916 " " y[1] (numeric) = 249184872.5245282 " " absolute error = 9.53674316406250000000E-7 " " relative error = 3.8271758102505710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.869999999999855 " " y[1] (analytic) = 254218740.86392087 " " y[1] (numeric) = 254218740.86391988 " " absolute error = 9.8347663879394530000000E-7 " " relative error = 3.8686236720855450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.879999999999855 " " y[1] (analytic) = 259354300.08928654 " " y[1] (numeric) = 259354300.08928555 " " absolute error = 9.8347663879394530000000E-7 " " relative error = 3.7920197909013614000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.889999999999855 " " y[1] (analytic) = 264593604.49279138 " " y[1] (numeric) = 264593604.49279037 " " absolute error = 1.0132789611816406000000E-6 " " relative error = 3.8295670945033994000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.899999999999855 " " y[1] (analytic) = 269938749.8660551 " " y[1] (numeric) = 269938749.86605406 " " absolute error = 1.0132789611816406000000E-6 " " relative error = 3.75373658537143940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.909999999999854 " " y[1] (analytic) = 275391874.3384965 " " y[1] (numeric) = 275391874.3384955 " " absolute error = 1.0132789611816406000000E-6 " " relative error = 3.67940762092411600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.919999999999854 " " y[1] (analytic) = 280955159.232614 " " y[1] (numeric) = 280955159.2326129 " " absolute error = 1.0728836059570312000000E-6 " " relative error = 3.81870049614838400000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.929999999999854 " " y[1] (analytic) = 286630829.9365432 " " y[1] (numeric) = 286630829.9365421 " " absolute error = 1.1324882507324219000000E-6 " " relative error = 3.95103433564052360000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.939999999999854 " " y[1] (analytic) = 292421156.79424244 " " y[1] (numeric) = 292421156.79424125 " " absolute error = 1.1920928955078125000000E-6 " " relative error = 4.0766301199834526000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.949999999999854 " " y[1] (analytic) = 298328456.0136601 " " y[1] (numeric) = 298328456.0136589 " " absolute error = 1.1920928955078125000000E-6 " " relative error = 3.99590743517014070000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.959999999999853 " " y[1] (analytic) = 304355090.59324896 " " y[1] (numeric) = 304355090.5932477 " " absolute error = 1.2516975402832030000000E-6 " " relative error = 4.1126223249408910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.969999999999853 " " y[1] (analytic) = 310503471.26719713 " " y[1] (numeric) = 310503471.2671958 " " absolute error = 1.3113021850585937000000E-6 " " relative error = 4.22314822989589300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.979999999999853 " " y[1] (analytic) = 316776057.4697536 " " y[1] (numeric) = 316776057.4697523 " " absolute error = 1.3113021850585937000000E-6 " " relative error = 4.1395242921217280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.989999999999853 " " y[1] (analytic) = 323175358.3190351 " " y[1] (numeric) = 323175358.3190338 " " absolute error = 1.3113021850585937000000E-6 " " relative error = 4.05755621925880500000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 8.999999999999853 " " y[1] (analytic) = 329703933.62070644 " " y[1] (numeric) = 329703933.6207051 " " absolute error = 1.3113021850585937000000E-6 " " relative error = 3.97721122298505650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.009999999999852 " " y[1] (analytic) = 336364394.89193714 " " y[1] (numeric) = 336364394.89193577 " " absolute error = 1.3709068298339844000000E-6 " " relative error = 4.0756597626048136000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.019999999999852 " " y[1] (analytic) = 343159406.406043 " " y[1] (numeric) = 343159406.40604156 " " absolute error = 1.430511474609375000000E-6 " " relative error = 4.168650043987790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.029999999999852 " " y[1] (analytic) = 350091686.258231 " " y[1] (numeric) = 350091686.25822955 " " absolute error = 1.430511474609375000000E-6 " " relative error = 4.0861052425969810000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.039999999999852 " " y[1] (analytic) = 357164007.45287365 " " y[1] (numeric) = 357164007.4528722 " " absolute error = 1.430511474609375000000E-6 " " relative error = 4.005194937785340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.049999999999851 " " y[1] (analytic) = 364379199.01274776 " " y[1] (numeric) = 364379199.0127463 " " absolute error = 1.4901161193847656000000E-6 " " relative error = 4.0894653795334630000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.059999999999851 " " y[1] (analytic) = 371740147.11068106 " " y[1] (numeric) = 371740147.1106795 " " absolute error = 1.5497207641601562000000E-6 " " relative error = 4.16882808113471200000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.069999999999851 " " y[1] (analytic) = 379249796.22406 " " y[1] (numeric) = 379249796.2240584 " " absolute error = 1.6093254089355470000000E-6 " " relative error = 4.24344436030958560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.07999999999985 " " y[1] (analytic) = 386911150.3126599 " " y[1] (numeric) = 386911150.3126583 " " absolute error = 1.6093254089355470000000E-6 " " relative error = 4.159418532226490400000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.08999999999985 " " y[1] (analytic) = 394727274.020269 " " y[1] (numeric) = 394727274.02026737 " " absolute error = 1.6093254089355470000000E-6 " " relative error = 4.07705652701593900000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.09999999999985 " " y[1] (analytic) = 402701293.9005867 " " y[1] (numeric) = 402701293.90058506 " " absolute error = 1.6689300537109375000000E-6 " " relative error = 4.14433745058425300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.10999999999985 " " y[1] (analytic) = 410836399.6678868 " " y[1] (numeric) = 410836399.6678851 " " absolute error = 1.6689300537109375000000E-6 " " relative error = 4.0622740707981870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.11999999999985 " " y[1] (analytic) = 419135845.47294575 " " y[1] (numeric) = 419135845.472944 " " absolute error = 1.7285346984863280000000E-6 " " relative error = 4.1240440710478460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.12999999999985 " " y[1] (analytic) = 427602951.2047463 " " y[1] (numeric) = 427602951.2047446 " " absolute error = 1.7285346984863280000000E-6 " " relative error = 4.0423825270996910000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.13999999999985 " " y[1] (analytic) = 436241103.8184775 " " y[1] (numeric) = 436241103.8184757 " " absolute error = 1.7881393432617187000000E-6 " " relative error = 4.09897033454640740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.14999999999985 " " y[1] (analytic) = 445053758.6903616 " " y[1] (numeric) = 445053758.69035983 " " absolute error = 1.7881393432617187000000E-6 " " relative error = 4.01780528384613700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.15999999999985 " " y[1] (analytic) = 454044440.99985117 " " y[1] (numeric) = 454044440.9998493 " " absolute error = 1.8477439880371094000000E-6 " " relative error = 4.06952232245855250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.169999999999849 " " y[1] (analytic) = 463216747.13974726 " " y[1] (numeric) = 463216747.13974535 " " absolute error = 1.9073486328125000000E-6 " " relative error = 4.1176158776424260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.179999999999849 " " y[1] (analytic) = 472574346.1548048 " " y[1] (numeric) = 472574346.1548029 " " absolute error = 1.9073486328125000000E-6 " " relative error = 4.0360816204519390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.189999999999849 " " y[1] (analytic) = 482120981.20939964 " " y[1] (numeric) = 482120981.2093977 " " absolute error = 1.9669532775878906000000E-6 " " relative error = 4.079791907528670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.199999999999848 " " y[1] (analytic) = 491860471.0848437 " " y[1] (numeric) = 491860471.08484167 " " absolute error = 2.0265579223632812000000E-6 " " relative error = 4.1201886337674590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.209999999999848 " " y[1] (analytic) = 501796711.7069487 " " y[1] (numeric) = 501796711.7069466 " " absolute error = 2.086162567138672000000E-6 " " relative error = 4.1573858864922160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.219999999999848 " " y[1] (analytic) = 511933677.70444846 " " y[1] (numeric) = 511933677.7044464 " " absolute error = 2.086162567138672000000E-6 " " relative error = 4.0750641303639010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.229999999999848 " " y[1] (analytic) = 522275423.99890345 " " y[1] (numeric) = 522275423.9989013 " " absolute error = 2.1457672119140625000000E-6 " " relative error = 4.1084973814861475000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.239999999999847 " " y[1] (analytic) = 532826087.4267231 " " y[1] (numeric) = 532826087.426721 " " absolute error = 2.1457672119140625000000E-6 " " relative error = 4.0271436826170020000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.249999999999847 " " y[1] (analytic) = 543589888.3939561 " " y[1] (numeric) = 543589888.3939538 " " absolute error = 2.2649765014648437000000E-6 " " relative error = 4.16670094463447160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.259999999999847 " " y[1] (analytic) = 554571132.5645083 " " y[1] (numeric) = 554571132.564506 " " absolute error = 2.2649765014648437000000E-6 " " relative error = 4.08419473799671600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.500000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.269999999999847 " " y[1] (analytic) = 565774212.5824668 " " y[1] (numeric) = 565774212.5824645 " " absolute error = 2.384185791015625000000E-6 " " relative error = 4.2140234354850660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.279999999999847 " " y[1] (analytic) = 577203609.829215 " " y[1] (numeric) = 577203609.8292127 " " absolute error = 2.384185791015625000000E-6 " " relative error = 4.1305801807460385000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.289999999999846 " " y[1] (analytic) = 588863896.2160456 " " y[1] (numeric) = 588863896.2160432 " " absolute error = 2.384185791015625000000E-6 " " relative error = 4.04878921315444700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.299999999999846 " " y[1] (analytic) = 600759736.012986 " " y[1] (numeric) = 600759736.0129836 " " absolute error = 2.384185791015625000000E-6 " " relative error = 3.9686178152326920000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.309999999999846 " " y[1] (analytic) = 612895887.7145681 " " y[1] (numeric) = 612895887.7145656 " " absolute error = 2.5033950805664060000000E-6 " " relative error = 4.08453561322027150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.319999999999846 " " y[1] (analytic) = 625277205.9432901 " " y[1] (numeric) = 625277205.9432876 " " absolute error = 2.5033950805664060000000E-6 " " relative error = 4.00365638915270600000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.329999999999846 " " y[1] (analytic) = 637908643.3915302 " " y[1] (numeric) = 637908643.3915275 " " absolute error = 2.6226043701171875000000E-6 " " relative error = 4.11125385631043670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.339999999999845 " " y[1] (analytic) = 650795252.8026886 " " y[1] (numeric) = 650795252.802686 " " absolute error = 2.6226043701171875000000E-6 " " relative error = 4.0298455755827740000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.349999999999845 " " y[1] (analytic) = 663942188.992354 " " y[1] (numeric) = 663942188.9923513 " " absolute error = 2.7418136596679690000000E-6 " " relative error = 4.1295969816726674000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.359999999999845 " " y[1] (analytic) = 677354710.9102968 " " y[1] (numeric) = 677354710.910294 " " absolute error = 2.7418136596679690000000E-6 " " relative error = 4.04782548272713150000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.369999999999845 " " y[1] (analytic) = 691038183.7441204 " " y[1] (numeric) = 691038183.7441175 " " absolute error = 2.86102294921875000000E-6 " " relative error = 4.140180696987560000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.379999999999844 " " y[1] (analytic) = 704998081.0654067 " " y[1] (numeric) = 704998081.0654039 " " absolute error = 2.7418136596679690000000E-6 " " relative error = 3.8891079753358860000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.389999999999844 " " y[1] (analytic) = 719239987.019219 " " y[1] (numeric) = 719239987.0192162 " " absolute error = 2.86102294921875000000E-6 " " relative error = 3.97784188984795700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.399999999999844 " " y[1] (analytic) = 733769598.5578334 " " y[1] (numeric) = 733769598.5578305 " " absolute error = 2.9802322387695310000000E-6 " " relative error = 4.06153681568021340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.409999999999844 " " y[1] (analytic) = 748592727.719596 " " y[1] (numeric) = 748592727.7195929 " " absolute error = 3.0994415283203125000000E-6 " " relative error = 4.1403575182489420000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.419999999999844 " " y[1] (analytic) = 763715303.9538159 " " y[1] (numeric) = 763715303.9538127 " " absolute error = 3.2186508178710940000000E-6 " " relative error = 4.214464213572620000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.429999999999843 " " y[1] (analytic) = 779143376.4926238 " " y[1] (numeric) = 779143376.4926206 " " absolute error = 3.2186508178710940000000E-6 " " relative error = 4.13101223084268300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.439999999999843 " " y[1] (analytic) = 794883116.7707455 " " y[1] (numeric) = 794883116.7707423 " " absolute error = 3.2186508178710940000000E-6 " " relative error = 4.0492127080859790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.449999999999843 " " y[1] (analytic) = 810940820.8941585 " " y[1] (numeric) = 810940820.8941551 " " absolute error = 3.337860107421875000000E-6 " " relative error = 4.1160341438250550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.459999999999843 " " y[1] (analytic) = 827322912.1586175 " " y[1] (numeric) = 827322912.1586142 " " absolute error = 3.337860107421875000000E-6 " " relative error = 4.0345312070626270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.469999999999843 " " y[1] (analytic) = 844035943.6190592 " " y[1] (numeric) = 844035943.6190557 " " absolute error = 3.4570693969726560000000E-6 " " relative error = 4.0958793557409730000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.479999999999842 " " y[1] (analytic) = 861086600.7109112 " " y[1] (numeric) = 861086600.7109076 " " absolute error = 3.5762786865234375000000E-6 " " relative error = 4.1532160453674110000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.489999999999842 " " y[1] (analytic) = 878481703.9243551 " " y[1] (numeric) = 878481703.9243516 " " absolute error = 3.5762786865234375000000E-6 " " relative error = 4.0709768576254680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.499999999999842 " " y[1] (analytic) = 896228211.5326145 " " y[1] (numeric) = 896228211.5326109 " " absolute error = 3.5762786865234375000000E-6 " " relative error = 3.9903661149069890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.509999999999842 " " y[1] (analytic) = 914333222.3753557 " " y[1] (numeric) = 914333222.375352 " " absolute error = 3.6954879760742190000000E-6 " " relative error = 4.0417299575680650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.519999999999841 " " y[1] (analytic) = 932803978.6983192 " " y[1] (numeric) = 932803978.6983155 " " absolute error = 3.6954879760742190000000E-6 " " relative error = 3.9616983422723880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.529999999999841 " " y[1] (analytic) = 951647869.0503142 " " y[1] (numeric) = 951647869.0503105 " " absolute error = 3.6954879760742190000000E-6 " " relative error = 3.8832514591369680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.539999999999841 " " y[1] (analytic) = 970872431.2387367 " " y[1] (numeric) = 970872431.238733 " " absolute error = 3.6954879760742190000000E-6 " " relative error = 3.8063579283625790000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.54999999999984 " " y[1] (analytic) = 990485355.3447932 " " y[1] (numeric) = 990485355.3447894 " " absolute error = 3.814697265625000000E-6 " " relative error = 3.85134141059267240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.55999999999984 " " y[1] (analytic) = 1010494486.7996349 " " y[1] (numeric) = 1010494486.7996311 " " absolute error = 3.814697265625000000E-6 " " relative error = 3.7750797411143067000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.56999999999984 " " y[1] (analytic) = 1030907829.522636 " " y[1] (numeric) = 1030907829.5226321 " " absolute error = 3.933906555175781000000E-6 " " relative error = 3.8159634086758120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.57999999999984 " " y[1] (analytic) = 1051733549.1230673 " " y[1] (numeric) = 1051733549.1230632 " " absolute error = 4.0531158447265625000000E-6 " " relative error = 3.8537477939217970000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.58999999999984 " " y[1] (analytic) = 1072979976.1664485 " " y[1] (numeric) = 1072979976.1664444 " " absolute error = 4.0531158447265625000000E-6 " " relative error = 3.77743847486098300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.59999999999984 " " y[1] (analytic) = 1094655609.5068867 " " y[1] (numeric) = 1094655609.5068827 " " absolute error = 4.0531158447265625000000E-6 " " relative error = 3.702640181556629600000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.60999999999984 " " y[1] (analytic) = 1116769119.6867306 " " y[1] (numeric) = 1116769119.6867263 " " absolute error = 4.291534423828125000000E-6 " " relative error = 3.84281258155845130000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.61999999999984 " " y[1] (analytic) = 1139329352.4049025 " " y[1] (numeric) = 1139329352.4048982 " " absolute error = 4.291534423828125000000E-6 " " relative error = 3.76671979421010330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.62999999999984 " " y[1] (analytic) = 1162345332.055297 " " y[1] (numeric) = 1162345332.0552926 " " absolute error = 4.291534423828125000000E-6 " " relative error = 3.69213374500303950000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.639999999999839 " " y[1] (analytic) = 1185826265.336658 " " y[1] (numeric) = 1185826265.3366535 " " absolute error = 4.5299530029296875000000E-6 " " relative error = 3.8200815206632540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.649999999999839 " " y[1] (analytic) = 1209781544.9353812 " " y[1] (numeric) = 1209781544.9353766 " " absolute error = 4.5299530029296875000000E-6 " " relative error = 3.74443883847777550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.659999999999838 " " y[1] (analytic) = 1234220753.2827141 " " y[1] (numeric) = 1234220753.2827096 " " absolute error = 4.5299530029296875000000E-6 " " relative error = 3.6702939817542050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.669999999999838 " " y[1] (analytic) = 1259153666.3878565 " " y[1] (numeric) = 1259153666.3878517 " " absolute error = 4.76837158203125000000E-6 " " relative error = 3.7869655700644650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.679999999999838 " " y[1] (analytic) = 1284590257.7484932 " " y[1] (numeric) = 1284590257.7484884 " " absolute error = 4.76837158203125000000E-6 " " relative error = 3.71197862763555100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.689999999999838 " " y[1] (analytic) = 1310540702.340328 " " y[1] (numeric) = 1310540702.340323 " " absolute error = 5.0067901611328120000000E-6 " " relative error = 3.8204003524589680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.699999999999838 " " y[1] (analytic) = 1337015380.6872077 " " y[1] (numeric) = 1337015380.6872027 " " absolute error = 5.0067901611328120000000E-6 " " relative error = 3.7447513569809426000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.709999999999837 " " y[1] (analytic) = 1364024883.0134718 " " y[1] (numeric) = 1364024883.0134666 " " absolute error = 5.245208740234375000000E-6 " " relative error = 3.8453908030228880000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.719999999999837 " " y[1] (analytic) = 1391580013.4801822 " " y[1] (numeric) = 1391580013.480177 " " absolute error = 5.245208740234375000000E-6 " " relative error = 3.76924696346903450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.729999999999837 " " y[1] (analytic) = 1419691794.506932 " " y[1] (numeric) = 1419691794.5069268 " " absolute error = 5.245208740234375000000E-6 " " relative error = 3.6946108729578660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.739999999999837 " " y[1] (analytic) = 1448371471.1809611 " " y[1] (numeric) = 1448371471.1809556 " " absolute error = 5.4836273193359370000000E-6 " " relative error = 3.78606416133337840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.749999999999837 " " y[1] (analytic) = 1477630515.7553396 " " y[1] (numeric) = 1477630515.7553341 " " absolute error = 5.4836273193359370000000E-6 " " relative error = 3.71109506799323250000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999993 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.759999999999836 " " y[1] (analytic) = 1507480632.2380233 " " y[1] (numeric) = 1507480632.2380176 " " absolute error = 5.7220458984375000000E-6 " " relative error = 3.79576743877795940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.769999999999836 " " y[1] (analytic) = 1537933761.0736117 " " y[1] (numeric) = 1537933761.073606 " " absolute error = 5.7220458984375000000E-6 " " relative error = 3.72060620767113700000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.779999999999836 " " y[1] (analytic) = 1569002083.9196866 " " y[1] (numeric) = 1569002083.9196806 " " absolute error = 5.9604644775390620000000E-6 " " relative error = 3.7988888215168010000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.789999999999836 " " y[1] (analytic) = 1600698028.519636 " " y[1] (numeric) = 1600698028.51963 " " absolute error = 5.9604644775390620000000E-6 " " relative error = 3.7236657828906330000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.799999999999836 " " y[1] (analytic) = 1633034273.673918 " " y[1] (numeric) = 1633034273.673912 " " absolute error = 5.9604644775390620000000E-6 " " relative error = 3.649932260227160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.809999999999835 " " y[1] (analytic) = 1666023754.3117504 " " y[1] (numeric) = 1666023754.3117442 " " absolute error = 6.198883056640625000000E-6 " " relative error = 3.7207651094995580000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.819999999999835 " " y[1] (analytic) = 1699679666.6652536 " " y[1] (numeric) = 1699679666.6652472 " " absolute error = 6.4373016357421870000000E-6 " " relative error = 3.78736167878743760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.829999999999835 " " y[1] (analytic) = 1734015473.5481205 " " y[1] (numeric) = 1734015473.548114 " " absolute error = 6.4373016357421870000000E-6 " " relative error = 3.7123668928802940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.839999999999835 " " y[1] (analytic) = 1769044909.7409213 " " y[1] (numeric) = 1769044909.7409148 " " absolute error = 6.4373016357421870000000E-6 " " relative error = 3.6388571032291870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.2500000000000001 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.849999999999834 " " y[1] (analytic) = 1804781987.4851985 " " y[1] (numeric) = 1804781987.4851918 " " absolute error = 6.67572021484375000000E-6 " " relative error = 3.69890671623211760000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999997 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.859999999999834 " " y[1] (analytic) = 1841241002.0885503 " " y[1] (numeric) = 1841241002.0885437 " " absolute error = 6.67572021484375000000E-6 " " relative error = 3.625663455936170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.869999999999834 " " y[1] (analytic) = 1878436537.642945 " " y[1] (numeric) = 1878436537.6429381 " " absolute error = 6.9141387939453120000000E-6 " " relative error = 3.6807944561284710000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.879999999999834 " " y[1] (analytic) = 1916383472.8585513 " " y[1] (numeric) = 1916383472.858544 " " absolute error = 7.152557373046875000000E-6 " " relative error = 3.7323205268399890000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.889999999999834 " " y[1] (analytic) = 1955096987.0154212 " " y[1] (numeric) = 1955096987.015414 " " absolute error = 7.152557373046875000000E-6 " " relative error = 3.65841562876412840000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.899999999999833 " " y[1] (analytic) = 1994592566.0354044 " " y[1] (numeric) = 1994592566.0353973 " " absolute error = 7.152557373046875000000E-6 " " relative error = 3.58597414571930000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.909999999999833 " " y[1] (analytic) = 2034886008.6767242 " " y[1] (numeric) = 2034886008.6767168 " " absolute error = 7.3909759521484370000000E-6 " " relative error = 3.6321326701512640000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.919999999999833 " " y[1] (analytic) = 2075993432.85369 " " y[1] (numeric) = 2075993432.8536823 " " absolute error = 7.62939453125000000E-6 " " relative error = 3.6750571608324050000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.500000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.929999999999833 " " y[1] (analytic) = 2117931282.0840783 " " y[1] (numeric) = 2117931282.0840707 " " absolute error = 7.62939453125000000E-6 " " relative error = 3.6022861533744155000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.939999999999833 " " y[1] (analytic) = 2160716332.066761 " " y[1] (numeric) = 2160716332.066753 " " absolute error = 8.106231689453125000000E-6 " " relative error = 3.75164086518445460000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.949999999999832 " " y[1] (analytic) = 2204365697.392205 " " y[1] (numeric) = 2204365697.392197 " " absolute error = 8.106231689453125000000E-6 " " relative error = 3.6773533987772120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.500000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.959999999999832 " " y[1] (analytic) = 2248896838.3885407 " " y[1] (numeric) = 2248896838.3885326 " " absolute error = 8.106231689453125000000E-6 " " relative error = 3.60453692276151260000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.969999999999832 " " y[1] (analytic) = 2294327568.1059227 " " y[1] (numeric) = 2294327568.1059146 " " absolute error = 8.106231689453125000000E-6 " " relative error = 3.53316230957605000000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.24999999999999994 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.979999999999832 " " y[1] (analytic) = 2340676059.4419894 " " y[1] (numeric) = 2340676059.441981 " " absolute error = 8.58306884765625000000E-6 " " relative error = 3.66691871480175240000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.989999999999831 " " y[1] (analytic) = 2387960852.411263 " " y[1] (numeric) = 2387960852.411254 " " absolute error = 9.059906005859375000000E-6 " " relative error = 3.79399268489307940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25000000000000006 " " Order of pole (three term test) = 22.5 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 9.999999999999831 " " y[1] (analytic) = 2436200861.5614033 " " y[1] (numeric) = 2436200861.561394 " " absolute error = 9.059906005859375000000E-6 " " relative error = 3.71886659626773300000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " "NO INFO (given) for Equation 1" "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 0.25 " " Order of pole (three term test) = 22.499999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" "Finished!" "diff ( y , x , 1 ) = sinh ( 2.0 * x + 3.0 ) ; " Iterations = 1001 "Total Elapsed Time "= 28 Seconds "Elapsed Time(since restart) "= 27 Seconds "Time to Timeout "= 9 Minutes 31 Seconds Percent Done = 100.19999999999831 "%" (%o225) true (%o225) diffeq.max