# Thread: Solving a non-homogeneous PDE

1. ## Solving a non-homogeneous PDE

Does anyone know a method to solve this PDE?

$\frac{\partial^2y}{\partial x^2}+f_1(x,t)\frac{\partial y}{\partial x}=f_2(x,t)\frac{\partial y}{\partial t}+f_3(x,t)$

$f_1$, $f_2$ and $f_3$ are three functions of x and t. I wanted to try Laplace transform but it becomes very complicated due to presence of $f$ functions. If initial and boundary conditions are required I can provide them.

Thank you,

2. What do the function $f_1, f_2$ and $f_3$ look like. That would really make a difference as to what to do next.