(3y-2xy^3)dx+(4x-3x^2y^2)dy=0

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Solution for (3y-2xy^3)dx+(4x-3x^2y^2)dy=0 equation: 


Simplifying
(3y + -2xy3) * dx + (4x + -3x2y2) * dy = 0

Reorder the terms:
(-2xy3 + 3y) * dx + (4x + -3x2y2) * dy = 0

Reorder the terms for easier multiplication:
dx(-2xy3 + 3y) + (4x + -3x2y2) * dy = 0
(-2xy3 * dx + 3y * dx) + (4x + -3x2y2) * dy = 0

Reorder the terms:
(3dxy + -2dx2y3) + (4x + -3x2y2) * dy = 0
(3dxy + -2dx2y3) + (4x + -3x2y2) * dy = 0

Reorder the terms for easier multiplication:
3dxy + -2dx2y3 + dy(4x + -3x2y2) = 0
3dxy + -2dx2y3 + (4x * dy + -3x2y2 * dy) = 0
3dxy + -2dx2y3 + (4dxy + -3dx2y3) = 0

Reorder the terms:
3dxy + 4dxy + -2dx2y3 + -3dx2y3 = 0

Combine like terms: 3dxy + 4dxy = 7dxy
7dxy + -2dx2y3 + -3dx2y3 = 0

Combine like terms: -2dx2y3 + -3dx2y3 = -5dx2y3
7dxy + -5dx2y3 = 0

Solving
7dxy + -5dx2y3 = 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(7 + -5xy2) = 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 '(7 + -5xy2)' equal to zero and attempt to solve:

Simplifying
7 + -5xy2 = 0

Solving
7 + -5xy2 = 0

Move all terms containing d to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -5xy2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5xy2 = 0 + -7
-5xy2 = 0 + -7

Combine like terms: 0 + -7 = -7
-5xy2 = -7

Add '5xy2' to each side of the equation.
-5xy2 + 5xy2 = -7 + 5xy2

Combine like terms: -5xy2 + 5xy2 = 0
0 = -7 + 5xy2

Simplifying
0 = -7 + 5xy2

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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