[SOLVED] simple ODE problem, Bernoulli's Equation 1. The problem statement, all variables and given/known data Initial value problem: Relation: t*y' - 2*[t^2]*sqrt(y) = 4*y Initial value: y(1) = 4 2. Relevant equations general form of Bernoulli's equation: y' + a(t)y = b(t)*[y^n] First order, linear ODE form: y' + a(t)y = b(t) 3. The attempt at a solution My written solution. I first get Bernoulli-type equation into first order/linear form. After that I solve it with the equation y = [1/mu]*Integral[ b(t) * mu dt] (+ constant) where mu = e^[ Integral[ a(t) dt] I have tried this multiple times and I get the same answer. When I plug in the solution y = f(t) it does not match the differential equation, (takes some time to show.) Any help would be great, I obviously am doing something wrong.