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 + -1xy + -1x2) * dy = 0

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

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

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

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

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

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

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

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

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

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

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

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

Solving
1dxy3 = 0

Solving for variable 'd'.

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

Divide each side by '1'.
dxy3 = 0

Simplifying
dxy3 = 0

The solution to this equation could not be determined.

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