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

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


Simplifying
y(2 + -3xy) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
y * dx(2 + -3xy) + -1xdy = 0

Multiply y * dx
dxy(2 + -3xy) + -1xdy = 0
(2 * dxy + -3xy * dxy) + -1xdy = 0
(2dxy + -3dx2y2) + -1xdy = 0

Reorder the terms:
2dxy + -1dxy + -3dx2y2 = 0

Combine like terms: 2dxy + -1dxy = 1dxy
1dxy + -3dx2y2 = 0

Solving
1dxy + -3dx2y2 = 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 + -3xy) = 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 + -3xy)' equal to zero and attempt to solve:

Simplifying
1 + -3xy = 0

Solving
1 + -3xy = 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 + -3xy = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3xy = 0 + -1
-3xy = 0 + -1

Combine like terms: 0 + -1 = -1
-3xy = -1

Add '3xy' to each side of the equation.
-3xy + 3xy = -1 + 3xy

Combine like terms: -3xy + 3xy = 0
0 = -1 + 3xy

Simplifying
0 = -1 + 3xy

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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