(3x^2y^2-y^3+2x)dx+(2x^3y-3xy^2+1)dy=0

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Solution for (3x^2y^2-y^3+2x)dx+(2x^3y-3xy^2+1)dy=0 equation: 


Simplifying
(3x2y2 + -1y3 + 2x) * dx + (2x3y + -3xy2 + 1) * dy = 0

Reorder the terms:
(2x + 3x2y2 + -1y3) * dx + (2x3y + -3xy2 + 1) * dy = 0

Reorder the terms for easier multiplication:
dx(2x + 3x2y2 + -1y3) + (2x3y + -3xy2 + 1) * dy = 0
(2x * dx + 3x2y2 * dx + -1y3 * dx) + (2x3y + -3xy2 + 1) * dy = 0

Reorder the terms:
(-1dxy3 + 2dx2 + 3dx3y2) + (2x3y + -3xy2 + 1) * dy = 0
(-1dxy3 + 2dx2 + 3dx3y2) + (2x3y + -3xy2 + 1) * dy = 0

Reorder the terms:
-1dxy3 + 2dx2 + 3dx3y2 + (1 + -3xy2 + 2x3y) * dy = 0

Reorder the terms for easier multiplication:
-1dxy3 + 2dx2 + 3dx3y2 + dy(1 + -3xy2 + 2x3y) = 0
-1dxy3 + 2dx2 + 3dx3y2 + (1 * dy + -3xy2 * dy + 2x3y * dy) = 0

Reorder the terms:
-1dxy3 + 2dx2 + 3dx3y2 + (-3dxy3 + 2dx3y2 + 1dy) = 0
-1dxy3 + 2dx2 + 3dx3y2 + (-3dxy3 + 2dx3y2 + 1dy) = 0

Reorder the terms:
-1dxy3 + -3dxy3 + 2dx2 + 3dx3y2 + 2dx3y2 + 1dy = 0

Combine like terms: -1dxy3 + -3dxy3 = -4dxy3
-4dxy3 + 2dx2 + 3dx3y2 + 2dx3y2 + 1dy = 0

Combine like terms: 3dx3y2 + 2dx3y2 = 5dx3y2
-4dxy3 + 2dx2 + 5dx3y2 + 1dy = 0

Solving
-4dxy3 + 2dx2 + 5dx3y2 + 1dy = 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), 'd'.
d(-4xy3 + 2x2 + 5x3y2 + y) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-4xy3 + 2x2 + 5x3y2 + y)' equal to zero and attempt to solve:

Simplifying
-4xy3 + 2x2 + 5x3y2 + y = 0

Solving
-4xy3 + 2x2 + 5x3y2 + y = 0

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

Add '4xy3' to each side of the equation.
-4xy3 + 2x2 + 5x3y2 + 4xy3 + y = 0 + 4xy3

Reorder the terms:
-4xy3 + 4xy3 + 2x2 + 5x3y2 + y = 0 + 4xy3

Combine like terms: -4xy3 + 4xy3 = 0
0 + 2x2 + 5x3y2 + y = 0 + 4xy3
2x2 + 5x3y2 + y = 0 + 4xy3
Remove the zero:
2x2 + 5x3y2 + y = 4xy3

Add '-2x2' to each side of the equation.
2x2 + 5x3y2 + -2x2 + y = 4xy3 + -2x2

Reorder the terms:
2x2 + -2x2 + 5x3y2 + y = 4xy3 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + 5x3y2 + y = 4xy3 + -2x2
5x3y2 + y = 4xy3 + -2x2

Add '-5x3y2' to each side of the equation.
5x3y2 + -5x3y2 + y = 4xy3 + -2x2 + -5x3y2

Combine like terms: 5x3y2 + -5x3y2 = 0
0 + y = 4xy3 + -2x2 + -5x3y2
y = 4xy3 + -2x2 + -5x3y2

Add '-1y' to each side of the equation.
y + -1y = 4xy3 + -2x2 + -5x3y2 + -1y

Combine like terms: y + -1y = 0
0 = 4xy3 + -2x2 + -5x3y2 + -1y

Simplifying
0 = 4xy3 + -2x2 + -5x3y2 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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