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Exercise

1. Solve the following differential equation using the method of undetermined coefficient.
\begin{displaymath}\begin{array}{ll} (a) \ y^{\prime\prime} - 4y^{\prime} + 4y =... ... (f) \ y^{(4)} + 2y^{\prime\prime} + y = x^{2}e^{x} \end{array}\end{displaymath}