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

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


Simplifying
(1 + -1xy) * dx + (xy + x2) * dy = 0

Reorder the terms for easier multiplication:
dx(1 + -1xy) + (xy + x2) * dy = 0
(1 * dx + -1xy * dx) + (xy + x2) * dy = 0
(1dx + -1dx2y) + (xy + x2) * dy = 0

Reorder the terms for easier multiplication:
1dx + -1dx2y + dy(xy + x2) = 0
1dx + -1dx2y + (xy * dy + x2 * dy) = 0
1dx + -1dx2y + (dxy2 + dx2y) = 0

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

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

Solving
1dx + dxy2 = 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), 'dx'.
dx(1 + y2) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(1 + y2)' equal to zero and attempt to solve:

Simplifying
1 + y2 = 0

Solving
1 + y2 = 0

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

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

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

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

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

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

Simplifying
0 = -1 + -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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