(See) Solve the given initial value problem using the method of Laplace transform. w''+w=t^2+2;
Question: 5: Solve the given initial value problem using the method of Laplace transform.
\[w''+w={{t}^{2}}+2;\,\,\,w\left( 0 \right)=1,w'\left( 0 \right)=-1\]
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