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

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


Simplifying
(D2 + D + -2) * y = x2 + -2x + 3

Reorder the terms:
(-2 + D + D2) * y = x2 + -2x + 3

Reorder the terms for easier multiplication:
y(-2 + D + D2) = x2 + -2x + 3
(-2 * y + D * y + D2 * y) = x2 + -2x + 3
(-2y + yD + yD2) = x2 + -2x + 3

Reorder the terms:
-2y + yD + yD2 = 3 + -2x + x2

Solving
-2y + yD + yD2 = 3 + -2x + x2

Solving for variable 'y'.

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

Reorder the terms:
-3 + 2x + -1x2 + -2y + yD + yD2 = 3 + -2x + x2 + -3 + 2x + -1x2

Reorder the terms:
-3 + 2x + -1x2 + -2y + yD + yD2 = 3 + -3 + -2x + 2x + x2 + -1x2

Combine like terms: 3 + -3 = 0
-3 + 2x + -1x2 + -2y + yD + yD2 = 0 + -2x + 2x + x2 + -1x2
-3 + 2x + -1x2 + -2y + yD + yD2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-3 + 2x + -1x2 + -2y + yD + yD2 = 0 + x2 + -1x2
-3 + 2x + -1x2 + -2y + yD + yD2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x + -1x2 + -2y + yD + yD2 = 0

The solution to this equation could not be determined.

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