\(\displaystyle U_{yy} - x^2u = x^2\)

I found the general solution to be

\(\displaystyle U(x,y) = f(x)e^{-xy} + g(x)e^{xy} + A + A1x + A2x^2\)

How do I find the constants to the particular solution for a pde?

I found the general solution to be

\(\displaystyle U(x,y) = f(x)e^{-xy} + g(x)e^{xy} + A + A1x + A2x^2\)

How do I find the constants to the particular solution for a pde?

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