# Diff Equation

1. May 22, 2007

I have this equation , I feel like the solution should be rather easy to have, but somehow it evades me, maybe I'm mistaken, what type is this equation?
any explicit solutions?
ay"+bxy'+cy*x^2=0
a,b,c are just constant.

2. May 22, 2007

### Staff: Mentor

3. May 23, 2007

As simple as that?
For a second I thought It could only be solved by a Power Series or something like that, I think I'm becoming rusty!!

4. Jun 2, 2007

### HallsofIvy

Staff Emeritus
Depends on what you mean by simple. That is, of course, a "Second-Order Ordinary Differential Equation" with variable coefficients. Power series is, in fact, the most common method of solving such an equation.