Ordinary Differential Equations/Non Homogenous 3

< Ordinary Differential Equations

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Solve

$y''-y=e^{-x},x\in \mathbb {R} ,y(0)=y'(0)=0$

Find Particular Integral

$y''-7y+12y=24e^{x}$
$y''+4y'+4y=e^{-2x}$

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