(D^2+D)y=x^2+2x+4

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Solution for (D^2+D)y=x^2+2x+4 equation: 


Simplifying
(D2 + D) * y = x2 + 2x + 4

Reorder the terms:
(D + D2) * y = x2 + 2x + 4

Reorder the terms for easier multiplication:
y(D + D2) = x2 + 2x + 4
(D * y + D2 * y) = x2 + 2x + 4
(yD + yD2) = x2 + 2x + 4

Reorder the terms:
yD + yD2 = 4 + 2x + x2

Solving
yD + yD2 = 4 + 2x + x2

Solving for variable 'y'.

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

Reorder the terms:
-4 + -2x + -1x2 + yD + yD2 = 4 + 2x + x2 + -4 + -2x + -1x2

Reorder the terms:
-4 + -2x + -1x2 + yD + yD2 = 4 + -4 + 2x + -2x + x2 + -1x2

Combine like terms: 4 + -4 = 0
-4 + -2x + -1x2 + yD + yD2 = 0 + 2x + -2x + x2 + -1x2
-4 + -2x + -1x2 + yD + yD2 = 2x + -2x + x2 + -1x2

Combine like terms: 2x + -2x = 0
-4 + -2x + -1x2 + yD + yD2 = 0 + x2 + -1x2
-4 + -2x + -1x2 + yD + yD2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-4 + -2x + -1x2 + yD + yD2 = 0

The solution to this equation could not be determined.

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