Solve the IVP. Do not use Laplace transformation. (ddot{y}+4 y=e^{t} sin t, quad y(0)=0, dot{y}(0)=frac{1}{10})

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Solve the IVP. Do not use Laplace transformation.

\(\ddot{y}+4 y=e^{t} \sin t, \quad y(0)=0, \dot{y}(0)=\frac{1}{10}\)

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