Thread: Euler's Method

Estimate y(.04), where y(x) is the solution of the initial value problem y'=2xy², y(0)=1
step size=0.1
I got 1.464 but am not sure if I did it correctly.

starting at x = 0 ... step size = 0.1 ... estimate y(.04)

something isn't right. your first step size takes you way past x = .04 starting at x = 0.

you sure the step size isn't .01 ?

Estimate y(.4) where y(x) is the solution of the initial value problem y'=2xy^2, y(0)=1
step size=0.1
Sorry for the mistake in the earlier post.

Originally Posted by nystudent2729

Estimate y(.4) where y(x) is the solution of the initial value problem y'=2xy^2, y(0)=1
step size=0.1

I get 1.129 ... what did you do?