y(x^2y^2+2)dx+2x(1-x^2y^2)dy=0

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Solution for y(x^2y^2+2)dx+2x(1-x^2y^2)dy=0 equation: 


Simplifying
y(x2y2 + 2) * dx + 2x(1 + -1x2y2) * dy = 0

Reorder the terms:
y(2 + x2y2) * dx + 2x(1 + -1x2y2) * dy = 0

Reorder the terms for easier multiplication:
y * dx(2 + x2y2) + 2x(1 + -1x2y2) * dy = 0

Multiply y * dx
dxy(2 + x2y2) + 2x(1 + -1x2y2) * dy = 0
(2 * dxy + x2y2 * dxy) + 2x(1 + -1x2y2) * dy = 0
(2dxy + dx3y3) + 2x(1 + -1x2y2) * dy = 0

Reorder the terms for easier multiplication:
2dxy + dx3y3 + 2x * dy(1 + -1x2y2) = 0

Multiply x * dy
2dxy + dx3y3 + 2dxy(1 + -1x2y2) = 0
2dxy + dx3y3 + (1 * 2dxy + -1x2y2 * 2dxy) = 0
2dxy + dx3y3 + (2dxy + -2dx3y3) = 0

Reorder the terms:
2dxy + 2dxy + dx3y3 + -2dx3y3 = 0

Combine like terms: 2dxy + 2dxy = 4dxy
4dxy + dx3y3 + -2dx3y3 = 0

Combine like terms: dx3y3 + -2dx3y3 = -1dx3y3
4dxy + -1dx3y3 = 0

Solving
4dxy + -1dx3y3 = 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(4 + -1x2y2) = 0

Factor a difference between two squares.
dxy((2 + xy)(2 + -1xy)) = 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 '(2 + xy)' equal to zero and attempt to solve:

Simplifying
2 + xy = 0

Solving
2 + xy = 0

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

Add '-2' to each side of the equation.
2 + -2 + xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + xy = 0 + -2
xy = 0 + -2

Combine like terms: 0 + -2 = -2
xy = -2

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

Combine like terms: xy + -1xy = 0
0 = -2 + -1xy

Simplifying
0 = -2 + -1xy

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(2 + -1xy)' equal to zero and attempt to solve:

Simplifying
2 + -1xy = 0

Solving
2 + -1xy = 0

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

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

Combine like terms: 2 + -2 = 0
0 + -1xy = 0 + -2
-1xy = 0 + -2

Combine like terms: 0 + -2 = -2
-1xy = -2

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

Combine like terms: -1xy + xy = 0
0 = -2 + xy

Simplifying
0 = -2 + xy

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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