What is the solution for (d^2+3d+2)*y=e^{e^x} ?

The solution for (d^2+3d+2)*y=e^{e^x} is y=c_{1}e^{-x}+c_{2}e^{-2x}+e^{e^x-2x}

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(d^2+3d+2)*y=e^{e^x}

(d^{2} + 3 d + 2) \cdot y = e^{e^{x}}

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

Solution steps

(d^{2} + 3 d + 2) y = e^{e^{x}}

Solve linear ODE:

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

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

(d^{2} + 9) y = sin^{2} (x)

(d^{2} - 1) y = x^{2} + cos^{2} (x)

(d^{2} + d - 6) y = e^{2} x \cdot sin^{3} (x)

y^{^{''}} + y^{^{'}} - 6 y = 6 x^{2} - 2 x - 2

y^{^{''}} + 4 y = x^{23} e^{x}

What is the solution for (d^2+3d+2)*y=e^{e^x} ?
The solution for (d^2+3d+2)*y=e^{e^x} is y=c_{1}e^{-x}+c_{2}e^{-2x}+e^{e^x-2x}