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## Homework Statement

When possible express the general solution in explicit form.

Solve dy/dx =x^2 /(1+y^2)

## Homework Equations

This is a first order non-linear ordinary differential equation.

## The Attempt at a Solution

dy(1+y^2) = x^2 dx

Integration both sides returns:

y+ (y^3 )/3= (x^3)/3 +C

Now, I am aware that there is more than one solution for y involving imaginary numbers. Can someone help me in the next step or direct me to a site?

I have seen cubic solutions tutorial, but they involve equations of the form: Ax^3+Bx^2+Cx+D=0

Thank you.