Thread: Euler's Method

Find the first two approximations y1, y2 using Euler's Method for the initial value problem. By hand.

y'=0.2y-0.2x, y(0)=1.5

Originally Posted by CalcQueen

Find the first two approximations y1, y2 using Euler's Method for the initial value problem. By hand.

y'=0.2y-0.2x, y(0)=1.5

Where are you stuck? The algorithm is straightforward ....

Oops wrong equation. I actually already figured that one out. The one I'm having trouble with is this one:

y'=2y(x+1), y(-2)=2

I have this formula:yn=yn-1+f(xn-1, yn-1)dx
but I don't know where to start?