(x^3-y^3)dx+(3xy^2)dy=0

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Solution for (x^3-y^3)dx+(3xy^2)dy=0 equation: 


Simplifying
(x3 + -1y3) * dx + (3xy2) * dy = 0

Reorder the terms for easier multiplication:
dx(x3 + -1y3) + (3xy2) * dy = 0
(x3 * dx + -1y3 * dx) + (3xy2) * dy = 0

Reorder the terms:
(-1dxy3 + dx4) + (3xy2) * dy = 0
(-1dxy3 + dx4) + (3xy2) * dy = 0

Remove parenthesis around (3xy2)
-1dxy3 + dx4 + 3xy2 * dy = 0

Multiply xy2 * dy
-1dxy3 + dx4 + 3dxy3 = 0

Reorder the terms:
-1dxy3 + 3dxy3 + dx4 = 0

Combine like terms: -1dxy3 + 3dxy3 = 2dxy3
2dxy3 + dx4 = 0

Solving
2dxy3 + dx4 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(2y3 + x3) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(2y3 + x3)' equal to zero and attempt to solve:

Simplifying
2y3 + x3 = 0

Reorder the terms:
x3 + 2y3 = 0

Solving
x3 + 2y3 = 0

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

Add '-1x3' to each side of the equation.
x3 + -1x3 + 2y3 = 0 + -1x3

Combine like terms: x3 + -1x3 = 0
0 + 2y3 = 0 + -1x3
2y3 = 0 + -1x3
Remove the zero:
2y3 = -1x3

Add '-2y3' to each side of the equation.
2y3 + -2y3 = -1x3 + -2y3

Combine like terms: 2y3 + -2y3 = 0
0 = -1x3 + -2y3

Simplifying
0 = -1x3 + -2y3

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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