Hi everyone. I'm having trouble with this problem:

Use Euler's method with step size 0.2 to estimate y(1), where y(x) is the solution of the initial-value problem y' = xy - x^{2}, y(0) = 1.

I did this, but I don't know if it's right. I don't even know if I understand the question. Here's what I have:

y' = xy - x^{2}= x(y-x)

= 1 + .2(0(1-0)) = 1

So, y(1) = 1.

Am I anywhere close? Thanks for your help.