- 5

- 0

**1. Homework Statement**

x^2 y' + xy + 5x^5=0

**2. Homework 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?