How do I go about solving this PDE?

[coverband]

Homework Statement

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

Homework Equations

How do I go about solving this PDE ?

The Attempt at a Solution

Please help !

 

[Klockan3]

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.

 

[coverband]

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

 

[Klockan3]

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

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.

 

[coverband]

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

Now how solve please !