(D^4-D^3-5D^2-3D)y=0

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Solution for (D^4-D^3-5D^2-3D)y=0 equation:


Simplifying
(D4 + -1D3 + -5D2 + -3D) * y = 0

Reorder the terms:
(-3D + -5D2 + -1D3 + D4) * y = 0

Reorder the terms for easier multiplication:
y(-3D + -5D2 + -1D3 + D4) = 0
(-3D * y + -5D2 * y + -1D3 * y + D4 * y) = 0
(-3yD + -5yD2 + -1yD3 + yD4) = 0

Solving
-3yD + -5yD2 + -1yD3 + yD4 = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), 'yD'.
yD(-3 + -5D + -1D2 + D3) = 0

Subproblem 1

Set the factor 'yD' equal to zero and attempt to solve: Simplifying yD = 0 Solving yD = 0 Move all terms containing y to the left, all other terms to the right. Simplifying yD = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-3 + -5D + -1D2 + D3)' equal to zero and attempt to solve: Simplifying -3 + -5D + -1D2 + D3 = 0 Solving -3 + -5D + -1D2 + D3 = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -5D + -1D2 + 3 + D3 = 0 + 3 Reorder the terms: -3 + 3 + -5D + -1D2 + D3 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5D + -1D2 + D3 = 0 + 3 -5D + -1D2 + D3 = 0 + 3 Combine like terms: 0 + 3 = 3 -5D + -1D2 + D3 = 3 Add '5D' to each side of the equation. -5D + -1D2 + 5D + D3 = 3 + 5D Reorder the terms: -5D + 5D + -1D2 + D3 = 3 + 5D Combine like terms: -5D + 5D = 0 0 + -1D2 + D3 = 3 + 5D -1D2 + D3 = 3 + 5D Add 'D2' to each side of the equation. -1D2 + D2 + D3 = 3 + 5D + D2 Combine like terms: -1D2 + D2 = 0 0 + D3 = 3 + 5D + D2 D3 = 3 + 5D + D2 Add '-1D3' to each side of the equation. D3 + -1D3 = 3 + 5D + D2 + -1D3 Combine like terms: D3 + -1D3 = 0 0 = 3 + 5D + D2 + -1D3 Simplifying 0 = 3 + 5D + D2 + -1D3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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