1. The problem statement, all variables and given/known data So I made a random differential equation to try to solve, but I found out that I can't solve second-order differential equations with knowledge I've gleaned solely from PF. So I need your help to ask how to solve this. Note that I've never taken a differential equations class, but I have completed Calculus II, if that helps, and I've looked into ways to solve first order linear ODEs. So yeah. The equation I made up to solve is... [tex] x^2 y'' + x y' + y = 0[/tex] 2. Relevant equations Nope, I don't even know how to do this. None here, then. 3. The attempt at a solution I'm sorry, but I'm totally lost. I just need a method... is there a way to turn this equation first order, maybe?