(D^2+4D+5)y=30X+13e^3x

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Solution for (D^2+4D+5)y=30X+13e^3x equation: 


Simplifying
(D2 + 4D + 5) * y = 30X + 13e3x

Reorder the terms:
(5 + 4D + D2) * y = 30X + 13e3x

Reorder the terms for easier multiplication:
y(5 + 4D + D2) = 30X + 13e3x
(5 * y + 4D * y + D2 * y) = 30X + 13e3x
(5y + 4yD + yD2) = 30X + 13e3x

Solving
5y + 4yD + yD2 = 30X + 13e3x

Solving for variable 'y'.

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

Reorder the terms:
-30X + -13e3x + 5y + 4yD + yD2 = 30X + 13e3x + -30X + -13e3x

Reorder the terms:
-30X + -13e3x + 5y + 4yD + yD2 = 30X + -30X + 13e3x + -13e3x

Combine like terms: 30X + -30X = 0
-30X + -13e3x + 5y + 4yD + yD2 = 0 + 13e3x + -13e3x
-30X + -13e3x + 5y + 4yD + yD2 = 13e3x + -13e3x

Combine like terms: 13e3x + -13e3x = 0
-30X + -13e3x + 5y + 4yD + yD2 = 0

The solution to this equation could not be determined.

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