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

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


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

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

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

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

Solving for variable 'y'.

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

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

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

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

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

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

The solution to this equation could not be determined.

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