(xy^2+x)dx+(yx^2)dy=0

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


Simplifying
(xy2 + x) * dx + (yx2) * dy = 0

Reorder the terms:
(x + xy2) * dx + (yx2) * dy = 0

Reorder the terms for easier multiplication:
dx(x + xy2) + (yx2) * dy = 0
(x * dx + xy2 * dx) + (yx2) * dy = 0
(dx2 + dx2y2) + (yx2) * dy = 0

Multiply x2y * dy
dx2 + dx2y2 + dx2y2 = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
dx2 + 2dx2y2 = 0

Solving
dx2 + 2dx2y2 = 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), 'dx2'.
dx2(1 + 2y2) = 0


Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve:

Simplifying
dx2 = 0

Solving
dx2 = 0

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

Simplifying
dx2 = 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 + 2y2)' equal to zero and attempt to solve:

Simplifying
1 + 2y2 = 0

Solving
1 + 2y2 = 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 + 2y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2y2 = 0 + -1
2y2 = 0 + -1

Combine like terms: 0 + -1 = -1
2y2 = -1

Add '-2y2' to each side of the equation.
2y2 + -2y2 = -1 + -2y2

Combine like terms: 2y2 + -2y2 = 0
0 = -1 + -2y2

Simplifying
0 = -1 + -2y2

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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