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Differential EquationsMediumLaplace Transforms

Laplace Transforms · Medium problem

A 22-kg mass on a spring with y′′+4y=0y''+4y=0 starts at y(0)=0y(0)=0 but is given an initial momentum of 6 kg⋅m/s6\text{ kg}\cdot\text{m/s} (so y′(0)=y'(0)= momentum//mass). Use the Laplace transform to find y ⁣(π4)y\!\left(\dfrac{\pi}{4}\right).