(2xy^6-y)dx+(2x)dy=0

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Solution for (2xy^6-y)dx+(2x)dy=0 equation: 


Simplifying
(2xy6 + -1y) * dx + (2x) * dy = 0

Reorder the terms for easier multiplication:
dx(2xy6 + -1y) + (2x) * dy = 0
(2xy6 * dx + -1y * dx) + (2x) * dy = 0

Reorder the terms:
(-1dxy + 2dx2y6) + (2x) * dy = 0
(-1dxy + 2dx2y6) + (2x) * dy = 0

Remove parenthesis around (2x)
-1dxy + 2dx2y6 + 2x * dy = 0

Multiply x * dy
-1dxy + 2dx2y6 + 2dxy = 0

Reorder the terms:
-1dxy + 2dxy + 2dx2y6 = 0

Combine like terms: -1dxy + 2dxy = 1dxy
1dxy + 2dx2y6 = 0

Solving
1dxy + 2dx2y6 = 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 + 2xy5) = 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 + 2xy5)' equal to zero and attempt to solve:

Simplifying
1 + 2xy5 = 0

Solving
1 + 2xy5 = 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 + 2xy5 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2xy5 = 0 + -1
2xy5 = 0 + -1

Combine like terms: 0 + -1 = -1
2xy5 = -1

Add '-2xy5' to each side of the equation.
2xy5 + -2xy5 = -1 + -2xy5

Combine like terms: 2xy5 + -2xy5 = 0
0 = -1 + -2xy5

Simplifying
0 = -1 + -2xy5

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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