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Verify the solution problems: Show that `y = e^-x + ax +b` is solution of the differential equation `e^x (d^2y)/ dx^2 = 1`

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`y=e^{-x}+a x+b ldots ldots ldots . ldots . (1) `

Differentiating each sides of (1) w.r.t. x

` frac{d y}{d x}=-e^{-x}+a …………(2)`

Differentiating each sides of (2) w.r.t.x, we get

` ...
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