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(See Steps) Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where g(t) is piece continuous on [0,∞)

Question: 3: Use the convolution theorem to obtain a formula for the solution to the given initial value problem, where \(g\left( t \right)\) is piece continuous on \([0,\infty )\) and of exponential order.

\[y''+4y+5y=g\left( t \right);\,\,\,y\left( 0 \right)=1,\,\,\,y'\left( 0 \right)=1\]

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