(See Solution) Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution. w''+w=u(t-2)-u(t-4); , w(0)=1, w'(0)=0


Question: Solve the given initial value problem using the method of Laplace transforms. Sketch the graph of the solution.

\[\begin{aligned} & w''+w=u\left( t-2 \right)-u\left( t-4 \right); \\ & w\left( 0 \right)=1,\,\,w'\left( 0 \right)=0 \\ \end{aligned}\]

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