Question: (8 points) Consider the general second order linear inhomogeneous equation, y (t ) + p(t )y' (t) + q (t )y (t) = g(t). Let

(8 points) Consider the general second order linear inhomogeneous equation, y" (t ) + p(t )y' (t) + q (t )y (t) = g(t). Let y1(t) solve the associated homogeneous equation, y' (t ) + p(t )yi (t) + q (t)yi (t) = 0. Suppose that y(t) = u(t)yi(t) solves (2). Show that u must satisfy, y1(t)u" (t) + u'(t) (2y's (t) + p(t)y (t)) = g(t)

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