(D^2-5D+4)y=3x^2*e^2x

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Solution for (D^2-5D+4)y=3x^2*e^2x equation: 


Simplifying
(D2 + -5D + 4) * y = 3x2 * e2x

Reorder the terms:
(4 + -5D + D2) * y = 3x2 * e2x

Reorder the terms for easier multiplication:
y(4 + -5D + D2) = 3x2 * e2x
(4 * y + -5D * y + D2 * y) = 3x2 * e2x
(4y + -5yD + yD2) = 3x2 * e2x

Multiply x2 * e2x
4y + -5yD + yD2 = 3e2x3

Solving
4y + -5yD + yD2 = 3e2x3

Solving for variable 'y'.

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

Reorder the terms:
-3e2x3 + 4y + -5yD + yD2 = 3e2x3 + -3e2x3

Combine like terms: 3e2x3 + -3e2x3 = 0
-3e2x3 + 4y + -5yD + yD2 = 0

The solution to this equation could not be determined.

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