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Exercise

1. For $x > 0$, solve the following Cauchy-Euler equation.
\begin{displaymath}\begin{array}{ll} (a) \ x^{2}y^{\prime\prime} + 4xy^{\prime} ... ...ime\prime} + 5xy^{\prime\prime} + 4y^{\prime} = 0 & \end{array}\end{displaymath}