3. (Sec. 3.5) Consider the nonhomogeneous second order linear DE Ly] =y" +p(t)y' + g(t)y=g(t), where p, q, and g are continuous on an open interval I. Let Y₁ and Y₂ be two solutions of (1). (a) Show that Y₁ - Y₂ is a solution of L[y] = 0. (b) If y₁ and 2 form a set of fundamental solutions, then show that Y₁(t)-Y₂(t) = c(t) + 2/2 (t (1)

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