1. The problem statement, all variables and given/known data x^2 y' + xy + 5x^5=0 2. Relevant equations no starting conditions 3. The attempt at a solution cannot figure out how to do this. Euler's equations methods have no pure x terms, and the non-homogenous methods have some kind of separable thing, where the x terms neatly land up on RHs and y terms on LHS. But what do i do with this? Is it the polynomial expansion or maybe some kind of taylor series?