(D^2-2D+3)y=x^2-1

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Solution for (D^2-2D+3)y=x^2-1 equation: 


Simplifying
(D2 + -2D + 3) * y = x2 + -1

Reorder the terms:
(3 + -2D + D2) * y = x2 + -1

Reorder the terms for easier multiplication:
y(3 + -2D + D2) = x2 + -1
(3 * y + -2D * y + D2 * y) = x2 + -1
(3y + -2yD + yD2) = x2 + -1

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

Solving
3y + -2yD + yD2 = -1 + x2

Solving for variable 'y'.

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

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

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

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

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

The solution to this equation could not be determined.

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