(D^2+5D+6)y=e^4x

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Solution for (D^2+5D+6)y=e^4x equation:


Simplifying
(D2 + 5D + 6) * y = e4x

Reorder the terms:
(6 + 5D + D2) * y = e4x

Reorder the terms for easier multiplication:
y(6 + 5D + D2) = e4x
(6 * y + 5D * y + D2 * y) = e4x
(6y + 5yD + yD2) = e4x

Solving
6y + 5yD + yD2 = e4x

Solving for variable 'y'.

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

Reorder the terms:
-1e4x + 6y + 5yD + yD2 = e4x + -1e4x

Combine like terms: e4x + -1e4x = 0
-1e4x + 6y + 5yD + yD2 = 0

The solution to this equation could not be determined.

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