ydx+x(1-xy)dy=0

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Solution for ydx+x(1-xy)dy=0 equation: 


Simplifying
ydx + x(1 + -1xy) * dy = 0

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

Multiply x * dy
dxy + dxy(1 + -1xy) = 0
dxy + (1 * dxy + -1xy * dxy) = 0
dxy + (1dxy + -1dx2y2) = 0

Combine like terms: dxy + 1dxy = 2dxy
2dxy + -1dx2y2 = 0

Solving
2dxy + -1dx2y2 = 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(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 + -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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