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

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


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

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

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

Solving
dxy3 + dx4 + -3xy2 = 0

Solving for variable 'd'.

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

Add '3xy2' to each side of the equation.
dxy3 + dx4 + -3xy2 + 3xy2 = 0 + 3xy2

Combine like terms: -3xy2 + 3xy2 = 0
dxy3 + dx4 + 0 = 0 + 3xy2
dxy3 + dx4 = 0 + 3xy2
Remove the zero:
dxy3 + dx4 = 3xy2

Combine like terms: 3xy2 + -3xy2 = 0
dxy3 + dx4 + -3xy2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(dy3 + dx3 + -3y2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(dy3 + dx3 + -3y2)' equal to zero and attempt to solve:

Simplifying
dy3 + dx3 + -3y2 = 0

Reorder the terms:
dx3 + dy3 + -3y2 = 0

Solving
dx3 + dy3 + -3y2 = 0

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

Add '3y2' to each side of the equation.
dx3 + dy3 + -3y2 + 3y2 = 0 + 3y2

Combine like terms: -3y2 + 3y2 = 0
dx3 + dy3 + 0 = 0 + 3y2
dx3 + dy3 = 0 + 3y2
Remove the zero:
dx3 + dy3 = 3y2

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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