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

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


Simplifying
(x2 + -1yx2) * dy + (y2 + xy2) * dx = 0

Reorder the terms for easier multiplication:
dy(x2 + -1x2y) + (y2 + xy2) * dx = 0
(x2 * dy + -1x2y * dy) + (y2 + xy2) * dx = 0
(dx2y + -1dx2y2) + (y2 + xy2) * dx = 0

Reorder the terms:
dx2y + -1dx2y2 + (xy2 + y2) * dx = 0

Reorder the terms for easier multiplication:
dx2y + -1dx2y2 + dx(xy2 + y2) = 0
dx2y + -1dx2y2 + (xy2 * dx + y2 * dx) = 0

Reorder the terms:
dx2y + -1dx2y2 + (dxy2 + dx2y2) = 0
dx2y + -1dx2y2 + (dxy2 + dx2y2) = 0

Reorder the terms:
dxy2 + dx2y + -1dx2y2 + dx2y2 = 0

Combine like terms: -1dx2y2 + dx2y2 = 0
dxy2 + dx2y + 0 = 0
dxy2 + dx2y = 0

Solving
dxy2 + dx2y = 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(y + x) = 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 '(y + x)' equal to zero and attempt to solve:

Simplifying
y + x = 0

Reorder the terms:
x + y = 0

Solving
x + y = 0

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

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

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

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

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

Simplifying
0 = -1x + -1y

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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