# Math Help - Constants in a PDE

1. ## Constants in a PDE

Hi,

I've solved the following PDE by treating it as an ODE:

$u_{yy} + 10u_{y} + 25u = e^{-5y}$

My solution is

$u(x, y) = (A + By + 0.5y^2)e^{-5y}$

Have I treated the constants correctly?

Thanks.

2. ## Re: Constants in a PDE

Should all of my constants be arbitrary functions of $x$?

Bump :)

4. ## Re: Constants in a PDE

Originally Posted by algorithm
Should all of my constants be arbitrary functions of $x$?
Yes. You can check you solution by just taking the derivatives.

Thanks.