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

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


Simplifying
(xy2 + x2y2 + 3) * dx + (x2y) * dy = 0

Reorder the terms:
(3 + xy2 + x2y2) * dx + (x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(3 + xy2 + x2y2) + (x2y) * dy = 0
(3 * dx + xy2 * dx + x2y2 * dx) + (x2y) * dy = 0
(3dx + dx2y2 + dx3y2) + (x2y) * dy = 0

Multiply x2y * dy
3dx + dx2y2 + dx3y2 + dx2y2 = 0

Reorder the terms:
3dx + dx2y2 + dx2y2 + dx3y2 = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
3dx + 2dx2y2 + dx3y2 = 0

Solving
3dx + 2dx2y2 + dx3y2 = 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), 'dx'.
dx(3 + 2xy2 + x2y2) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(3 + 2xy2 + x2y2)' equal to zero and attempt to solve:

Simplifying
3 + 2xy2 + x2y2 = 0

Solving
3 + 2xy2 + x2y2 = 0

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

Add '-3' to each side of the equation.
3 + 2xy2 + -3 + x2y2 = 0 + -3

Reorder the terms:
3 + -3 + 2xy2 + x2y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2xy2 + x2y2 = 0 + -3
2xy2 + x2y2 = 0 + -3

Combine like terms: 0 + -3 = -3
2xy2 + x2y2 = -3

Add '-2xy2' to each side of the equation.
2xy2 + -2xy2 + x2y2 = -3 + -2xy2

Combine like terms: 2xy2 + -2xy2 = 0
0 + x2y2 = -3 + -2xy2
x2y2 = -3 + -2xy2

Add '-1x2y2' to each side of the equation.
x2y2 + -1x2y2 = -3 + -2xy2 + -1x2y2

Combine like terms: x2y2 + -1x2y2 = 0
0 = -3 + -2xy2 + -1x2y2

Simplifying
0 = -3 + -2xy2 + -1x2y2

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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