# Homework Help: How do I go about solving this PDE?

1. Jul 9, 2011

### coverband

1. The problem statement, all variables and given/known data

$$\frac{\partial^2X}{\partial a^2} + (X^4-1)\frac{\partial X}{\partial a} = 0$$

2. Relevant equations

How do I go about solving this PDE ???

3. The attempt at a solution

2. Jul 9, 2011

### Klockan3

Re: Pde

Is X a vector? Then I would try rewriting it in polar coordinates. Otherwise this isn't a PDE and could be solved with the same method as is used with separation of variables.

3. Jul 9, 2011

### coverband

Re: Pde

How do you solve with s.o.v. ?

4. Jul 9, 2011

### Klockan3

Re: Pde

Is it a pde or not? Ie, is X a vector or a single variable? As for how to solve it if it is an ODE, just integrate it with respect to a and then solve normally.

5. Jul 9, 2011

### coverband

Re: Pde

Ok. Lets call it an ODE: $$\frac{d^2y}{dx^2} + (y^4-1)\frac{dy}{dx} = 0$$