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

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


Simplifying
y(xy + 2(x2)(y2)) * dx + x(xy + -1(x2)(y2)) * dy = 0

Multiply x2 * y2
y(xy + 2x2y2) * dx + x(xy + -1(x2)(y2)) * dy = 0

Reorder the terms for easier multiplication:
y * dx(xy + 2x2y2) + x(xy + -1(x2)(y2)) * dy = 0

Multiply y * dx
dxy(xy + 2x2y2) + x(xy + -1(x2)(y2)) * dy = 0
(xy * dxy + 2x2y2 * dxy) + x(xy + -1(x2)(y2)) * dy = 0
(dx2y2 + 2dx3y3) + x(xy + -1(x2)(y2)) * dy = 0

Multiply x2 * y2
dx2y2 + 2dx3y3 + x(xy + -1x2y2) * dy = 0

Reorder the terms for easier multiplication:
dx2y2 + 2dx3y3 + x * dy(xy + -1x2y2) = 0

Multiply x * dy
dx2y2 + 2dx3y3 + dxy(xy + -1x2y2) = 0
dx2y2 + 2dx3y3 + (xy * dxy + -1x2y2 * dxy) = 0
dx2y2 + 2dx3y3 + (dx2y2 + -1dx3y3) = 0

Reorder the terms:
dx2y2 + dx2y2 + 2dx3y3 + -1dx3y3 = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
2dx2y2 + 2dx3y3 + -1dx3y3 = 0

Combine like terms: 2dx3y3 + -1dx3y3 = 1dx3y3
2dx2y2 + 1dx3y3 = 0

Solving
2dx2y2 + 1dx3y3 = 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), 'dx2y2'.
dx2y2(2 + xy) = 0


Subproblem 1
Set the factor 'dx2y2' equal to zero and attempt to solve:

Simplifying
dx2y2 = 0

Solving
dx2y2 = 0

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

Simplifying
dx2y2 = 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 '(2 + xy)' equal to zero and attempt to solve:

Simplifying
2 + xy = 0

Solving
2 + xy = 0

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

Add '-2' to each side of the equation.
2 + -2 + xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + xy = 0 + -2
xy = 0 + -2

Combine like terms: 0 + -2 = -2
xy = -2

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

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

Simplifying
0 = -2 + -1xy

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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