(1+x)ydx-(1-y)xdy=0

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Solution for (1+x)ydx-(1-y)xdy=0 equation: 


Simplifying
(1 + x) * ydx + -1(1 + -1y) * xdy = 0

Reorder the terms for easier multiplication:
dxy(1 + x) + -1(1 + -1y) * xdy = 0
(1 * dxy + x * dxy) + -1(1 + -1y) * xdy = 0
(1dxy + dx2y) + -1(1 + -1y) * xdy = 0

Reorder the terms for easier multiplication:
1dxy + dx2y + -1dxy(1 + -1y) = 0
1dxy + dx2y + (1 * -1dxy + -1y * -1dxy) = 0
1dxy + dx2y + (-1dxy + 1dxy2) = 0

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

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

Solving
1dxy2 + 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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