Verify that \( y=e^{-x}+A x+B \) is a solution of the differential ...

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Verify that \( y=e^{-x}+A x+B \) is a solution of the differential equation
\( \mathrm{P} \)
\[
e^{x}\left(\frac{d^{2} y}{d x^{2}}\right)=1
\]
W
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