Question: Use the Laplace transform to solve the given initial value problem. $$ begin{array}{1} y^{prime prime) -4 y^{prime} +4 y=delta_{2}(t) y=3, quad y^{prime} (0)=10 end{array} $$

Use the Laplace transform to solve the given initial value problem.

Use the Laplace transform to solve the given initial value problem. $$ \begin{array}{1} y^{\prime \prime) -4 y^{\prime} +4 y=\delta_{2}(t) y=3, \quad y^{\prime} (0)=10 \end{array} $$ $$ Y(s)=\frac{3}{5-2}+\frac{19}{(5-2)^{2}} $$ $$ y(t)= $$ CS.VS. 1375

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