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Differential EquationsHardLaplace II: Steps, Impulses & Convolution

Laplace II: Steps, Impulses & Convolution · Hard problem

Take the Laplace transform of y′+2y=5y' + 2y = 5, y(0)=4y(0) = 4, and solve for Y(s)=L{y}Y(s) = \mathcal L\{y\}. What is Y(4)Y(4)? Express your answer as a common fraction or integer.