(D^4+4D)y=0

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Solution for (D^4+4D)y=0 equation: 


Simplifying
(D4 + 4D) * y = 0

Reorder the terms:
(4D + D4) * y = 0

Reorder the terms for easier multiplication:
y(4D + D4) = 0
(4D * y + D4 * y) = 0
(4yD + yD4) = 0

Solving
4yD + 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(4 + 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 '(4 + D3)' equal to zero and attempt to solve:

Simplifying
4 + D3 = 0

Solving
4 + D3 = 0

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

Add '-4' to each side of the equation.
4 + -4 + D3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + D3 = 0 + -4
D3 = 0 + -4

Combine like terms: 0 + -4 = -4
D3 = -4

Add '-1D3' to each side of the equation.
D3 + -1D3 = -4 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -4 + -1D3

Simplifying
0 = -4 + -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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