(y-xy^3)dx+xdy=0

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Solution for (y-xy^3)dx+xdy=0 equation: 


Simplifying
(y + -1xy3) * dx + xdy = 0

Reorder the terms:
(-1xy3 + y) * dx + xdy = 0

Reorder the terms for easier multiplication:
dx(-1xy3 + y) + xdy = 0
(-1xy3 * dx + y * dx) + xdy = 0

Reorder the terms:
(dxy + -1dx2y3) + xdy = 0
(dxy + -1dx2y3) + xdy = 0

Reorder the terms:
dxy + dxy + -1dx2y3 = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + -1dx2y3 = 0

Solving
2dxy + -1dx2y3 = 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 + -1xy2) = 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 + -1xy2)' equal to zero and attempt to solve:

Simplifying
2 + -1xy2 = 0

Solving
2 + -1xy2 = 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 + -1xy2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1xy2 = 0 + -2
-1xy2 = 0 + -2

Combine like terms: 0 + -2 = -2
-1xy2 = -2

Add 'xy2' to each side of the equation.
-1xy2 + xy2 = -2 + xy2

Combine like terms: -1xy2 + xy2 = 0
0 = -2 + xy2

Simplifying
0 = -2 + xy2

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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