1. The problem statement, all variables and given/known data When possible express the general solution in explicit form. Solve dy/dx =x^2 /(1+y^2) 2. Relevant equations This is a first order non-linear ordinary differential equation. 3. 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.