(Solved): Convert the differential equation \( x^{\prime \prime}+4 x^{\prime}+x=e^{5 t} \) into a system of ...

Convert the differential equation \( x^{\prime \prime}+4 x^{\prime}+x=e^{5 t} \) into a system of first order equations by letting \( u_{1}=x, u_{2}=x^{\prime} \). Note: Type u_1, u_2, and t to write your variables. \[ \begin{array}{l} u_{1}^{\prime}= \\ u_{2}^{\prime}= \end{array} \]