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Differential EquationsHardLaplace II: Steps, Impulses & Convolution

Laplace II: Steps, Impulses & Convolution · Hard problem

Solve the integral equation y(t)=e−t+∫0tsin⁡(t−τ) y(τ) dτy(t) = e^{-t} + \displaystyle\int_0^t \sin(t-\tau)\,y(\tau)\,d\tau for y(t)y(t), and find y(π)y(\pi).