What is the solution for y^{''}-y=(e^x)/(x^2) ?

The solution for y^{''}-y=(e^x)/(x^2) is y=c_{1}e^x+c_{2}e^{-x}-e^{-x}\Ei(2x)

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y^{''}-y=(e^x)/(x^2)

y^{^{''}} - y = \frac{e ^{x}}{x ^{2}}

y = c_{1} e^{x} + c_{2} e^{- x} - e^{- x} Ei (2 x)

Solution steps

y^{''} (x) - y = \frac{e ^{x}}{x ^{2}}

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} - e^{- x} Ei (2 x)

y = c_{1} e^{x} + c_{2} e^{- x} - e^{- x} Ei (2 x)

What is the solution for y^{''}-y=(e^x)/(x^2) ?
The solution for y^{''}-y=(e^x)/(x^2) is y=c_{1}e^x+c_{2}e^{-x}-e^{-x}\Ei(2x)