(D^2-3D+2)y=e^5x+2

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Solution for (D^2-3D+2)y=e^5x+2 equation: 


Simplifying
(D2 + -3D + 2) * y = e5x + 2

Reorder the terms:
(2 + -3D + D2) * y = e5x + 2

Reorder the terms for easier multiplication:
y(2 + -3D + D2) = e5x + 2
(2 * y + -3D * y + D2 * y) = e5x + 2
(2y + -3yD + yD2) = e5x + 2

Reorder the terms:
2y + -3yD + yD2 = 2 + e5x

Solving
2y + -3yD + yD2 = 2 + e5x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Reorder the terms:
-2 + -1e5x + 2y + -3yD + yD2 = 2 + e5x + -2 + -1e5x

Reorder the terms:
-2 + -1e5x + 2y + -3yD + yD2 = 2 + -2 + e5x + -1e5x

Combine like terms: 2 + -2 = 0
-2 + -1e5x + 2y + -3yD + yD2 = 0 + e5x + -1e5x
-2 + -1e5x + 2y + -3yD + yD2 = e5x + -1e5x

Combine like terms: e5x + -1e5x = 0
-2 + -1e5x + 2y + -3yD + yD2 = 0

The solution to this equation could not be determined.

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