2. (12%) Let $y = (A + Bx)e^{ax} + Ce^{2x}$ be the general solution to the following linear constant-coefficient ODE $$y''' + py' + qy = 0.$$ Solve a, p and q.
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2. (12%) Let $y = (A + Bx)e^{ax} + Ce^{2x}$ be the general solution to the following linear constant-coefficient ODE $$y''' + py' + qy = 0.$$ Solve a, p and q.