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

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


Simplifying
y(x2 + xy + -2y2) * dx + x(3y2 + xy + -1x2) * dy = 0

Reorder the terms:
y(xy + x2 + -2y2) * dx + x(3y2 + xy + -1x2) * dy = 0

Reorder the terms for easier multiplication:
y * dx(xy + x2 + -2y2) + x(3y2 + xy + -1x2) * dy = 0

Multiply y * dx
dxy(xy + x2 + -2y2) + x(3y2 + xy + -1x2) * dy = 0
(xy * dxy + x2 * dxy + -2y2 * dxy) + x(3y2 + xy + -1x2) * dy = 0

Reorder the terms:
(-2dxy3 + dx2y2 + dx3y) + x(3y2 + xy + -1x2) * dy = 0
(-2dxy3 + dx2y2 + dx3y) + x(3y2 + xy + -1x2) * dy = 0

Reorder the terms:
-2dxy3 + dx2y2 + dx3y + x(xy + -1x2 + 3y2) * dy = 0

Reorder the terms for easier multiplication:
-2dxy3 + dx2y2 + dx3y + x * dy(xy + -1x2 + 3y2) = 0

Multiply x * dy
-2dxy3 + dx2y2 + dx3y + dxy(xy + -1x2 + 3y2) = 0
-2dxy3 + dx2y2 + dx3y + (xy * dxy + -1x2 * dxy + 3y2 * dxy) = 0

Reorder the terms:
-2dxy3 + dx2y2 + dx3y + (3dxy3 + dx2y2 + -1dx3y) = 0
-2dxy3 + dx2y2 + dx3y + (3dxy3 + dx2y2 + -1dx3y) = 0

Reorder the terms:
-2dxy3 + 3dxy3 + dx2y2 + dx2y2 + dx3y + -1dx3y = 0

Combine like terms: -2dxy3 + 3dxy3 = 1dxy3
1dxy3 + dx2y2 + dx2y2 + dx3y + -1dx3y = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
1dxy3 + 2dx2y2 + dx3y + -1dx3y = 0

Combine like terms: dx3y + -1dx3y = 0
1dxy3 + 2dx2y2 + 0 = 0
1dxy3 + 2dx2y2 = 0

Solving
1dxy3 + 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), 'dxy2'.
dxy2(y + 2x) = 0


Subproblem 1
Set the factor 'dxy2' equal to zero and attempt to solve:

Simplifying
dxy2 = 0

Solving
dxy2 = 0

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

Simplifying
dxy2 = 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 '(y + 2x)' equal to zero and attempt to solve:

Simplifying
y + 2x = 0

Reorder the terms:
2x + y = 0

Solving
2x + y = 0

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

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

Combine like terms: 2x + -2x = 0
0 + y = 0 + -2x
y = 0 + -2x
Remove the zero:
y = -2x

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

Combine like terms: y + -1y = 0
0 = -2x + -1y

Simplifying
0 = -2x + -1y

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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