(d^4-d^3)y=0

Solution for (d^4-d^3)y=0 equation:

Simplifying
(d4 + -1d3) * y = 0

Reorder the terms:
(-1d3 + d4) * y = 0

Reorder the terms for easier multiplication:
y(-1d3 + d4) = 0
(-1d3 * y + d4 * y) = 0
(-1d3y + d4y) = 0

Solving
-1d3y + d4y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'd3y'.
d3y(-1 + d) = 0

Subproblem 1
Set the factor 'd3y' equal to zero and attempt to solve:

Simplifying
d3y = 0

Solving
d3y = 0

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

Simplifying
d3y = 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 '(-1 + d)' equal to zero and attempt to solve:

Simplifying
-1 + d = 0

Solving
-1 + d = 0

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

Add '1' to each side of the equation.
-1 + 1 + d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + d = 0 + 1
d = 0 + 1

Combine like terms: 0 + 1 = 1
d = 1

Simplifying
d = 1
Solution
d = {1}