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

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


Simplifying
(x2y2 + 1) * dy + (2xy3) * dx = 0

Reorder the terms:
(1 + x2y2) * dy + (2xy3) * dx = 0

Reorder the terms for easier multiplication:
dy(1 + x2y2) + (2xy3) * dx = 0
(1 * dy + x2y2 * dy) + (2xy3) * dx = 0

Reorder the terms:
(dx2y3 + 1dy) + (2xy3) * dx = 0
(dx2y3 + 1dy) + (2xy3) * dx = 0

Remove parenthesis around (2xy3)
dx2y3 + 1dy + 2xy3 * dx = 0

Multiply xy3 * dx
dx2y3 + 1dy + 2dx2y3 = 0

Reorder the terms:
dx2y3 + 2dx2y3 + 1dy = 0

Combine like terms: dx2y3 + 2dx2y3 = 3dx2y3
3dx2y3 + 1dy = 0

Solving
3dx2y3 + 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), 'dy'.
dy(3x2y2 + 1) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(3x2y2 + 1)' equal to zero and attempt to solve:

Simplifying
3x2y2 + 1 = 0

Reorder the terms:
1 + 3x2y2 = 0

Solving
1 + 3x2y2 = 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 + 3x2y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3x2y2 = 0 + -1
3x2y2 = 0 + -1

Combine like terms: 0 + -1 = -1
3x2y2 = -1

Add '-3x2y2' to each side of the equation.
3x2y2 + -3x2y2 = -1 + -3x2y2

Combine like terms: 3x2y2 + -3x2y2 = 0
0 = -1 + -3x2y2

Simplifying
0 = -1 + -3x2y2

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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