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

The solution for y^{''}-y=e^{2x}*e^{e^x} is y=c_{1}e^x+c_{2}e^{-x}+e^{e^x}-e^{e^x-x}

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y^{''}-y=e^{2x}*e^{e^x}

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

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

Solution steps

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

Solve linear ODE:

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

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

What is the solution for y^{''}-y=e^{2x}*e^{e^x} ?
The solution for y^{''}-y=e^{2x}*e^{e^x} is y=c_{1}e^x+c_{2}e^{-x}+e^{e^x}-e^{e^x-x}