(2xy^3-y)dx+2xdy=0

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Solution for (2xy^3-y)dx+2xdy=0 equation: 


Simplifying
(2xy3 + -1y) * dx + 2xdy = 0

Reorder the terms for easier multiplication:
dx(2xy3 + -1y) + 2xdy = 0
(2xy3 * dx + -1y * dx) + 2xdy = 0

Reorder the terms:
(-1dxy + 2dx2y3) + 2xdy = 0
(-1dxy + 2dx2y3) + 2xdy = 0

Reorder the terms:
-1dxy + 2dxy + 2dx2y3 = 0

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

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

Simplifying
1 + 2xy2 = 0

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

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

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

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

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

Simplifying
0 = -1 + -2xy2

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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