Question: Let Ly = y'' + py' + qy. Suppose that y 1 and y 2 are two functions such that Ly 1 = f(x) and

Let Ly = y'' + py' + qy. Suppose that y1 and y2 are two functions such that

Ly1 = f(x) and Ly2 = g(x).

Show that their sum y = y1 + y2 satisfies the nonhomogeneous equation Ly = f(x) + g(x).

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