y(x^2-y^2)dy-x^3dy=0

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


Simplifying
y(x2 + -1y2) * dy + -1x3dy = 0

Reorder the terms for easier multiplication:
y * dy(x2 + -1y2) + -1x3dy = 0

Multiply y * dy
dy2(x2 + -1y2) + -1x3dy = 0
(x2 * dy2 + -1y2 * dy2) + -1x3dy = 0
(dx2y2 + -1dy4) + -1x3dy = 0

Reorder the terms:
dx2y2 + -1dx3y + -1dy4 = 0

Solving
dx2y2 + -1dx3y + -1dy4 = 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), 'dy'.
dy(x2y + -1x3 + -1y3) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(x2y + -1x3 + -1y3)' equal to zero and attempt to solve:

Simplifying
x2y + -1x3 + -1y3 = 0

Solving
x2y + -1x3 + -1y3 = 0

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

Add '-1x2y' to each side of the equation.
x2y + -1x3 + -1x2y + -1y3 = 0 + -1x2y

Reorder the terms:
x2y + -1x2y + -1x3 + -1y3 = 0 + -1x2y

Combine like terms: x2y + -1x2y = 0
0 + -1x3 + -1y3 = 0 + -1x2y
-1x3 + -1y3 = 0 + -1x2y
Remove the zero:
-1x3 + -1y3 = -1x2y

Add 'x3' to each side of the equation.
-1x3 + x3 + -1y3 = -1x2y + x3

Combine like terms: -1x3 + x3 = 0
0 + -1y3 = -1x2y + x3
-1y3 = -1x2y + x3

Add 'y3' to each side of the equation.
-1y3 + y3 = -1x2y + x3 + y3

Combine like terms: -1y3 + y3 = 0
0 = -1x2y + x3 + y3

Simplifying
0 = -1x2y + x3 + 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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