how to Solve y” – 2y’ + y = e^(-x) by variation of parameters method

Question : Solve y” – 2y’ + y = e^(-x) by variation of parameters method Solution : Given ODE \[y\prime\prime\ -\ 2y\prime\ +\ y\ =\ e^{-x}\] First we shall find general solution of the homogeneous equation \[y^{\prime\prime}-\ 2y^\prime+\ y=0\] Since…

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