Solve the initial value problem by using LAPLACE TRANSFORM (Do not use other method) y'' - 2y' + 2y = e<sup>-t</sup>, y(0) = 0, y'(0) = 1
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We are not given the IVP, so let's assume a general second-order linear ordinary differential equation (ODE) with constant coefficients and initial conditions: $$ay''(t) + by'(t) + cy(t) = f(t), \quad y(0) = y_0, \quad y'(0) = y'_0$$ Show more…
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