Calculates the solution y=f(x) of the linear ordinary differential equation y'=F(x,y) using Runge-Kutta fourth-order method.

http://keisan.casio.com/exec/system/1222997077

Calculates the solution y=f(x) of the linear ordinary differential equation y'=F(x,y) using Runge-Kutta fourth-order method.

The initial condition is y0=f(x0), and the root x is calculated within the range of from x0 to xn.

F(x,y) x0 initial condition y0 = f(x0) xn x0≦x≦xn   [ partition n

]

 

x	y=f(x)
0	0
0.02	0.019997333733260008
0.04	0.0399786802577078769
0.06	0.0599281034486404157
0.08	0.079829769003171595
0.1	0.0996679944889870499
0.12	0.119427298369717902
0.14	0.139092447684269286
0.16	0.158648504072844527
0.18	0.178080867861151214
0.2	0.197375319936037919
0.22	0.216518061170221227
0.24	0.235495749180415114
0.26	0.254295532231633583
0.28	0.272905080130249338
0.3	0.291312611979094038
0.32	0.30950692069901888
0.34	0.327477394252447944
0.36	0.345214033535120318
0.38	0.36270746693202733
0.4	0.379948961562138604
0.42	0.396930431263545203
0.44	0.413644441395843414
0.46	0.430084210559699072
0.48	0.4462436093543784
0.5	0.462117156312464695
0.52	0.477700011166906455
0.54	0.49298796561891394
0.56	0.507977431786033545
0.58	0.522665428518019257
0.6	0.537049565773960731
0.62	0.551128027257623087
0.64	0.564899551509236772
0.66	0.578363411651201497
0.68	0.591519393982508874
0.7	0.604367775612329241
0.72	0.616909301317343102
0.74	0.629145159800224484
0.76	0.64107695951840057
0.78	0.652706704243014336
0.8	0.66403676849809355
0.82	0.67506987301946081
0.84	0.685809060362074861
0.86	0.696257670773430761
0.88	0.706419318439509255
0.9	0.71629786819868375
0.92	0.725897412808081388
0.94	0.735222250836253129
0.96	0.744276865245722087
0.98	0.75306590271912112
1	0.761594153773257758