ODE, bernoulli equation --> leads to crazy integral ! 1. The problem statement, all variables and given/known data An Initial Value Problem, ODE (Bernoulli equation) ODE: [x^2]*y' + 2*[x^3]*y = [y^2]*(1+2*[x^2]) IV: y(1) = 1/2 2. Relevant equations general form of Bernoulli's equation: y' + a(x)y = b(x)*[y^n] First order, linear ODE form: y' + a(x)y = b(x) 3. The attempt at a solution I begin by simplifying the Bernoulli-type equation into a linear form, at which point I end up with an integral that I DO NOT KNOW HOW TO SOLVE. I have either really messed up somewhere along the way to that Integral, or not and I just dont' know how to solve it. Thanks for any help.