Laplace Transform 1. [Medium] (Laplace Transform (Higher order)) Use Laplace transform method to find the PS of $$ \begin{cases} y''' + y'' - y' - y = 1 + \cos x + \cos 2x + e^x \\ y(0) = y'(0) = y''(0) = 0 \end{cases} $$
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The differential equation is: $$y''' + y'' - y' - y = 1 + \cos x + \cos 2x + e^x$$ with initial conditions: $$y(0) = y'(0) = y''(0) = 0$$ Show more…
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