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

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


Simplifying
(2x3 + y3) * dx + -1(3xy2) * dy = 0

Reorder the terms for easier multiplication:
dx(2x3 + y3) + -1(3xy2) * dy = 0
(2x3 * dx + y3 * dx) + -1(3xy2) * dy = 0

Reorder the terms:
(dxy3 + 2dx4) + -1(3xy2) * dy = 0
(dxy3 + 2dx4) + -1(3xy2) * dy = 0

Remove parenthesis around (3xy2)
dxy3 + 2dx4 + -1 * 3xy2 * dy = 0

Multiply -1 * 3
dxy3 + 2dx4 + -3xy2 * dy = 0

Multiply xy2 * dy
dxy3 + 2dx4 + -3dxy3 = 0

Reorder the terms:
dxy3 + -3dxy3 + 2dx4 = 0

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

Solving
-2dxy3 + 2dx4 = 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), '2dx'.
2dx(-1y3 + x3) = 0

Ignore the factor 2.

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 '(-1y3 + x3)' equal to zero and attempt to solve:

Simplifying
-1y3 + x3 = 0

Reorder the terms:
x3 + -1y3 = 0

Solving
x3 + -1y3 = 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 + -1y3 = 0 + -1x3

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

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

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

Simplifying
0 = -1x3 + y3

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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