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

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


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

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

Reorder the terms for easier multiplication:
dx(1 + xy3) + (x2y2) * dy = 0
(1 * dx + xy3 * dx) + (x2y2) * dy = 0
(1dx + dx2y3) + (x2y2) * dy = 0

Multiply x2y2 * dy
1dx + dx2y3 + dx2y3 = 0

Combine like terms: dx2y3 + dx2y3 = 2dx2y3
1dx + 2dx2y3 = 0

Solving
1dx + 2dx2y3 = 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(1 + 2xy3) = 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 '(1 + 2xy3)' equal to zero and attempt to solve:

Simplifying
1 + 2xy3 = 0

Solving
1 + 2xy3 = 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 + 2xy3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2xy3 = 0 + -1
2xy3 = 0 + -1

Combine like terms: 0 + -1 = -1
2xy3 = -1

Add '-2xy3' to each side of the equation.
2xy3 + -2xy3 = -1 + -2xy3

Combine like terms: 2xy3 + -2xy3 = 0
0 = -1 + -2xy3

Simplifying
0 = -1 + -2xy3

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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