(D^2+1)y=x^4+2x+8

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Solution for (D^2+1)y=x^4+2x+8 equation: 


Simplifying
(D2 + 1) * y = x4 + 2x + 8

Reorder the terms:
(1 + D2) * y = x4 + 2x + 8

Reorder the terms for easier multiplication:
y(1 + D2) = x4 + 2x + 8
(1 * y + D2 * y) = x4 + 2x + 8
(1y + yD2) = x4 + 2x + 8

Reorder the terms:
1y + yD2 = 8 + 2x + x4

Solving
1y + yD2 = 8 + 2x + x4

Solving for variable 'y'.

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

Reorder the terms:
-8 + -2x + -1x4 + 1y + yD2 = 8 + 2x + x4 + -8 + -2x + -1x4

Reorder the terms:
-8 + -2x + -1x4 + 1y + yD2 = 8 + -8 + 2x + -2x + x4 + -1x4

Combine like terms: 8 + -8 = 0
-8 + -2x + -1x4 + 1y + yD2 = 0 + 2x + -2x + x4 + -1x4
-8 + -2x + -1x4 + 1y + yD2 = 2x + -2x + x4 + -1x4

Combine like terms: 2x + -2x = 0
-8 + -2x + -1x4 + 1y + yD2 = 0 + x4 + -1x4
-8 + -2x + -1x4 + 1y + yD2 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-8 + -2x + -1x4 + 1y + yD2 = 0

The solution to this equation could not be determined.

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