Can someone show me the first few k steps of the runge kutta method for y'=x+y^2 y(0)=0 y(.5)
h=.1

I get the first k1 = 0+0^2
I don't understand k2 what goes in for the x0 and y0 I understand the part where you multiply the y by the by the previous k value.

someone please show me k2 and k3.

Question

Can someone show me the first few k steps of the runge kutta method for y'=x+y^2   y(0)=0 y(.5)
h=.1

I get the first k1 = 0+0^2
I don't understand k2 what goes in for the x0 and y0 I understand the part where you multiply the y by the by the previous k value. 

someone please show me k2 and k3.

abb0t · Answer

runge kutta method uses the formula: $t_{n+1} = t_n+ h $ and some ohter one, i 4got. I only used runge kutta once for ODE's