Question: 4. (a) Show that y = cier cosx + Ce sin x + sin x is the general solution of y - 2y' + 2y

4. (a) Show that y = cier cosx + Ce sin

4. (a) Show that y = cier cosx + Ce sin x + sin x is the general solution of y" - 2y' + 2y = sin x - 2 cos x (b) Using (a), solve the initial-value problem (IVP) y" - 2y' + 2y = sin x - 2 cos x, y ( 7 /2) = 1; y'(1/2) = ex/2

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