y(y^2-x-2)dx+2xdy=0

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


Simplifying
y(y2 + -1x + -2) * dx + 2xdy = 0

Reorder the terms:
y(-2 + -1x + y2) * dx + 2xdy = 0

Reorder the terms for easier multiplication:
y * dx(-2 + -1x + y2) + 2xdy = 0

Multiply y * dx
dxy(-2 + -1x + y2) + 2xdy = 0
(-2 * dxy + -1x * dxy + y2 * dxy) + 2xdy = 0

Reorder the terms:
(-2dxy + dxy3 + -1dx2y) + 2xdy = 0
(-2dxy + dxy3 + -1dx2y) + 2xdy = 0

Reorder the terms:
-2dxy + 2dxy + dxy3 + -1dx2y = 0

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

Solving
dxy3 + -1dx2y = 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(y2 + -1x) = 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 '(y2 + -1x)' equal to zero and attempt to solve:

Simplifying
y2 + -1x = 0

Reorder the terms:
-1x + y2 = 0

Solving
-1x + y2 = 0

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

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

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

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

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

Simplifying
0 = x + -1y2

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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