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1. (2.5 points) Solve the following ODE using the Laplace Transform approach. \ddot{y}(t)+7 \dot{y}(t)+10 y(t)=4 y(0)=\dot{y}(t)=0 \text { Note: } \mathcal{L}(1)=\frac{1}{s} \text { and } \mathcal{L}\left(e^{-a t}\right)=\frac{1}{s+a} \text {. }

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