Question: 3. Consider the second order differential equation ca de2 (a) Show the & = cos (at) and y = sin (at) both solve the differential

3. Consider the second order differential equation ca de2 (a) Show the & = cos (at) and y = sin (at) both solve the differential equation. Q (b) Show the the linear combination x = Cy cos (at) + Cysin (at) also solves the differential equation. () Determine a solution to the differential equation satistying (0) = 0 and 2/ (0) = 1

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