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I'm solving PDE's with the use of Green's function where all the boundary conditions are homogeneous.

However, how do you solve ones in which we have non-homogeneous b.c's.

In case it helps, the particular PDE I'm looking at is:

[tex]y'' = -x^2[/tex]

[tex]y(0) + y'(0) = 4, y'(1)= 2 [/tex]

Thanks for any help.