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

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


Simplifying
(y * 2 + 2xy) * dx + -1x2dy = 0

Reorder the terms for easier multiplication:
(2y + 2xy) * dx + -1x2dy = 0

Reorder the terms:
(2xy + 2y) * dx + -1x2dy = 0

Reorder the terms for easier multiplication:
dx(2xy + 2y) + -1x2dy = 0
(2xy * dx + 2y * dx) + -1x2dy = 0

Reorder the terms:
(2dxy + 2dx2y) + -1x2dy = 0
(2dxy + 2dx2y) + -1x2dy = 0

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

Solving
2dxy + 1dx2y = 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 + 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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

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

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

Simplifying
0 = -2 + -1x

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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