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

The solution for (d+1)^2*y=2e^{-2}x is y=c_{1}e^{-x}+c_{2}xe^{-x}+(2x)/(e^2)-4/(e^2)

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

(d + 1)^{2} \cdot y = 2 e^{- 2} x

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{2 x}{e ^{2}} - \frac{4}{e ^{2}}

Solution steps

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

Solve linear ODE:

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{2 x}{e ^{2}} - \frac{4}{e ^{2}}

y = c_{1} e^{- x} + c_{2} x e^{- x} + \frac{2 x}{e ^{2}} - \frac{4}{e ^{2}}

y^{^{''}} + 4 y^{^{'}} + 5 y = 35 e^{- 4} x

y^{^{''}} + 9 y = sin^{2} (t)

(d^{5} - d) y = 2 x + 2^{x}

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

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

What is the solution for (d+1)^2*y=2e^{-2}x ?
The solution for (d+1)^2*y=2e^{-2}x is y=c_{1}e^{-x}+c_{2}xe^{-x}+(2x)/(e^2)-4/(e^2)