(Solved): Convert the differential equation \( u^{\prime \prime}-3 u^{\prime}-5 u=e^{t} ...

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Convert the differential equation \( u^{\prime \prime}-3 u^{\prime}-5 u=e^{t} \) into a system of first order equations by letting \( x=u, y=u^{\prime} \) \[ \begin{array}{l} x^{\prime}= \\ y^{\prime}=e^{-5 t}+3 y-5 x \end{array} \]