(D^4+4)y=0

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

Simplifying
(D4 + 4) * y = 0

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

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

Solving
4y + 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 + 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 + D4)' equal to zero and attempt to solve:

Simplifying
4 + D4 = 0

Solving
4 + 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 + -4 + D4 = 0 + -4

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

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

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

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

Simplifying
0 = -4 + -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}