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Math Help - Solving a non-homogeneous PDE

  1. #1
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    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,
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  2. #2
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    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.
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