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Differential EquationsMediumLaplace Transforms

Laplace Transforms · Medium problem

A spring obeys y′′+4y=3sin⁡ty''+4y=3\sin t, y(0)=0y(0)=0, y′(0)=0y'(0)=0 – driven below its natural frequency, so there is no resonance. Use the Laplace transform to find y ⁣(π2)y\!\left(\dfrac{\pi}{2}\right).