(D^4+D^2-4)y=0

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


Simplifying
(D4 + D2 + -4) * y = 0

Reorder the terms:
(-4 + D2 + D4) * y = 0

Reorder the terms for easier multiplication:
y(-4 + D2 + D4) = 0
(-4 * y + D2 * y + D4 * y) = 0
(-4y + yD2 + yD4) = 0

Solving
-4y + yD2 + 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), 'y'.
y(-4 + D2 + D4) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0

Subproblem 2
Set the factor '(-4 + D2 + D4)' equal to zero and attempt to solve:

Simplifying
-4 + D2 + D4 = 0

Solving
-4 + D2 + D4 = 0

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

Add '4' to each side of the equation.
-4 + D2 + 4 + D4 = 0 + 4

Reorder the terms:
-4 + 4 + D2 + D4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + D2 + D4 = 0 + 4
D2 + D4 = 0 + 4

Combine like terms: 0 + 4 = 4
D2 + D4 = 4

Add '-1D2' to each side of the equation.
D2 + -1D2 + D4 = 4 + -1D2

Combine like terms: D2 + -1D2 = 0
0 + D4 = 4 + -1D2
D4 = 4 + -1D2

Add '-1D4' to each side of the equation.
D4 + -1D4 = 4 + -1D2 + -1D4

Combine like terms: D4 + -1D4 = 0
0 = 4 + -1D2 + -1D4

Simplifying
0 = 4 + -1D2 + -1D4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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