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

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


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

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

Reorder the terms for easier multiplication:
dy(-1xy + x2) + (x2 + -1xy + y2) * dx = 0
(-1xy * dy + x2 * dy) + (x2 + -1xy + y2) * dx = 0
(-1dxy2 + dx2y) + (x2 + -1xy + y2) * dx = 0

Reorder the terms:
-1dxy2 + dx2y + (-1xy + x2 + y2) * dx = 0

Reorder the terms for easier multiplication:
-1dxy2 + dx2y + dx(-1xy + x2 + y2) = 0
-1dxy2 + dx2y + (-1xy * dx + x2 * dx + y2 * dx) = 0

Reorder the terms:
-1dxy2 + dx2y + (dxy2 + -1dx2y + dx3) = 0
-1dxy2 + dx2y + (dxy2 + -1dx2y + dx3) = 0

Reorder the terms:
-1dxy2 + dxy2 + dx2y + -1dx2y + dx3 = 0

Combine like terms: -1dxy2 + dxy2 = 0
0 + dx2y + -1dx2y + dx3 = 0
dx2y + -1dx2y + dx3 = 0

Combine like terms: dx2y + -1dx2y = 0
0 + dx3 = 0
dx3 = 0

Solving
dx3 = 0

Solving for variable 'd'.

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

Simplifying
dx3 = 0

The solution to this equation could not be determined.

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