(D^3-3D^2+4D-2)y=x+siny

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Solution for (D^3-3D^2+4D-2)y=x+siny equation:


Simplifying
(D3 + -3D2 + 4D + -2) * y = x + siny

Reorder the terms:
(-2 + 4D + -3D2 + D3) * y = x + siny

Reorder the terms for easier multiplication:
y(-2 + 4D + -3D2 + D3) = x + siny
(-2 * y + 4D * y + -3D2 * y + D3 * y) = x + siny
(-2y + 4yD + -3yD2 + yD3) = x + siny

Reorder the terms:
-2y + 4yD + -3yD2 + yD3 = insy + x

Solving
-2y + 4yD + -3yD2 + yD3 = insy + x

Solving for variable 'y'.

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

Add '-1insy' to each side of the equation.
-2y + 4yD + -3yD2 + -1insy + yD3 = insy + -1insy + x

Reorder the terms:
-1insy + -2y + 4yD + -3yD2 + yD3 = insy + -1insy + x

Combine like terms: insy + -1insy = 0
-1insy + -2y + 4yD + -3yD2 + yD3 = 0 + x
-1insy + -2y + 4yD + -3yD2 + yD3 = x

Reorder the terms:
-1insy + -1x + -2y + 4yD + -3yD2 + yD3 = x + -1x

Combine like terms: x + -1x = 0
-1insy + -1x + -2y + 4yD + -3yD2 + yD3 = 0

The solution to this equation could not be determined.

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