- #1

S[e^x]=f(u)^n

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## Homework Statement

i'm trying to solve the simple differential equation y'=(x+xy^2)

**2. The attempt at a solution**

i get dy/(1+y^2)=xdx and then integrate over the whole thing getting the solution

arctan(y)=0.5x^2+C

my problem is how do i simply this down to an equation in the form y=...

i must be missing something