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Differential EquationsChallengeLaplace Transforms

Laplace Transforms · Challenge problem

Solve y ′+y=1y\,\prime + y = 1, y(0)=0y(0) = 0 by Laplace transform: Y(s)=1s(s+1)Y(s) = \dfrac{1}{s(s+1)}. Find y(ln⁡2)y(\ln 2). Express as a common fraction.