laplace-transform-solution-of-y-yft-piecewise-defined

ODEs: Use the Second Shift Formula for the Laplace Transform to solve the IVP y'-y=f(t), where f(t) = t on the interval [1,2), = 0 elsewhere. The key step here is to invert the Second Shift Formula to obtain y(t).

Tagged under: Mathematics,ordinary,differential,equation,Laplace,transform,shift,formula,piecewise,defined,function,inverse,initial,problem

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