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accountkiller
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Homework Statement
Let Ly = y'' + py' + qy. Suppose y1 and y2 are functions such that Ly1 = f(x) and Ly2 = g(x). Show that the sum y = y1 + y2 satisfies the nonhomogeneous equation Ly = f(x) + g(x).
Homework Equations
Superposition Principle: L[c1y1 + c2y2] = c1L[y1] + c2L[y2]
The Attempt at a Solution
Even though this problem is in the book problems, I don't even see anything with an Ly in the section paragraphs. All we had from lecture is the above superposition principle. I don't even know how to start - I'd really appreciate any help!