(D^3-2d^2-5d+6)y=e^3x

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Solution for (D^3-2d^2-5d+6)y=e^3x equation:


Simplifying
(D3 + -2d2 + -5d + 6) * y = e3x

Reorder the terms:
(6 + D3 + -5d + -2d2) * y = e3x

Reorder the terms for easier multiplication:
y(6 + D3 + -5d + -2d2) = e3x
(6 * y + D3 * y + -5d * y + -2d2 * y) = e3x

Reorder the terms:
(-5dy + -2d2y + 6y + yD3) = e3x
(-5dy + -2d2y + 6y + yD3) = e3x

Solving
-5dy + -2d2y + 6y + yD3 = e3x

Solving for variable 'd'.

Reorder the terms:
-5dy + -2d2y + -1e3x + 6y + yD3 = e3x + -1e3x

Combine like terms: e3x + -1e3x = 0
-5dy + -2d2y + -1e3x + 6y + yD3 = 0

The solution to this equation could not be determined.

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