D(D^2-2D+10)y=x^4+2x^2+2

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Solution for D(D^2-2D+10)y=x^4+2x^2+2 equation:


Simplifying
D(D2 + -2D + 10) * y = x4 + 2x2 + 2

Reorder the terms:
D(10 + -2D + D2) * y = x4 + 2x2 + 2

Reorder the terms for easier multiplication:
D * y(10 + -2D + D2) = x4 + 2x2 + 2

Multiply D * y
yD(10 + -2D + D2) = x4 + 2x2 + 2
(10 * yD + -2D * yD + D2 * yD) = x4 + 2x2 + 2
(10yD + -2yD2 + yD3) = x4 + 2x2 + 2

Reorder the terms:
10yD + -2yD2 + yD3 = 2 + 2x2 + x4

Solving
10yD + -2yD2 + yD3 = 2 + 2x2 + x4

Solving for variable 'y'.

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

Reorder the terms:
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = 2 + 2x2 + x4 + -2 + -2x2 + -1x4

Reorder the terms:
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = 2 + -2 + 2x2 + -2x2 + x4 + -1x4

Combine like terms: 2 + -2 = 0
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = 0 + 2x2 + -2x2 + x4 + -1x4
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = 2x2 + -2x2 + x4 + -1x4

Combine like terms: 2x2 + -2x2 = 0
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = 0 + x4 + -1x4
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-2 + -2x2 + -1x4 + 10yD + -2yD2 + yD3 = 0

The solution to this equation could not be determined.

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