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

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


Simplifying
(xy + -1) * dx + x2dy = 0

Reorder the terms:
(-1 + xy) * dx + x2dy = 0

Reorder the terms for easier multiplication:
dx(-1 + xy) + x2dy = 0
(-1 * dx + xy * dx) + x2dy = 0
(-1dx + dx2y) + x2dy = 0

Combine like terms: dx2y + dx2y = 2dx2y
-1dx + 2dx2y = 0

Solving
-1dx + 2dx2y = 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 + 2xy) = 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 + 2xy)' equal to zero and attempt to solve:

Simplifying
-1 + 2xy = 0

Solving
-1 + 2xy = 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 + 2xy = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -2xy

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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