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

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` y = e^(-x) +Ax + B`
` (dy)/(dx) =e^(-x) (-1) + A(1) +0 = -e^(-x) + A `
` and (d^(2)y)/(dx^(2)) = -e^(-x) (-1) + 0 =e^(-x)`
` (d^(2)y)/(dx^(2)) = 1/e^(x)`
` (d^(2)y)/(dx^(2)) = 1/e^(x)`
` e^(x) ((d^(2)y)/(dx^(2))) =1`
This shows that ` y = e^(-x) + Ax + B` is a solution of ` e^(x) ((d^(2)y)/(dx^(2)))=1`
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