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

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


Simplifying
y3dx + 2(x * x + -1x * y * y) * dy = 0

Multiply x * x
dxy3 + 2(x2 + -1x * y * y) * dy = 0

Multiply x * y
dxy3 + 2(x2 + -1xy * y) * dy = 0

Multiply xy * y
dxy3 + 2(x2 + -1xy2) * dy = 0

Reorder the terms:
dxy3 + 2(-1xy2 + x2) * dy = 0

Reorder the terms for easier multiplication:
dxy3 + 2dy(-1xy2 + x2) = 0
dxy3 + (-1xy2 * 2dy + x2 * 2dy) = 0
dxy3 + (-2dxy3 + 2dx2y) = 0

Combine like terms: dxy3 + -2dxy3 = -1dxy3
-1dxy3 + 2dx2y = 0

Solving
-1dxy3 + 2dx2y = 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), 'dxy'.
dxy(-1y2 + 2x) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(-1y2 + 2x)' equal to zero and attempt to solve:

Simplifying
-1y2 + 2x = 0

Reorder the terms:
2x + -1y2 = 0

Solving
2x + -1y2 = 0

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

Add '-2x' to each side of the equation.
2x + -2x + -1y2 = 0 + -2x

Combine like terms: 2x + -2x = 0
0 + -1y2 = 0 + -2x
-1y2 = 0 + -2x
Remove the zero:
-1y2 = -2x

Add 'y2' to each side of the equation.
-1y2 + y2 = -2x + y2

Combine like terms: -1y2 + y2 = 0
0 = -2x + y2

Simplifying
0 = -2x + y2

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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