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

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


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

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

Reorder the terms for easier multiplication:
dy(-2xy + x2) + -1y(x + -1y) * dx = 0
(-2xy * dy + x2 * dy) + -1y(x + -1y) * dx = 0
(-2dxy2 + dx2y) + -1y(x + -1y) * dx = 0

Reorder the terms for easier multiplication:
-2dxy2 + dx2y + -1y * dx(x + -1y) = 0

Multiply y * dx
-2dxy2 + dx2y + -1dxy(x + -1y) = 0
-2dxy2 + dx2y + (x * -1dxy + -1y * -1dxy) = 0

Reorder the terms:
-2dxy2 + dx2y + (1dxy2 + -1dx2y) = 0
-2dxy2 + dx2y + (1dxy2 + -1dx2y) = 0

Reorder the terms:
-2dxy2 + 1dxy2 + dx2y + -1dx2y = 0

Combine like terms: -2dxy2 + 1dxy2 = -1dxy2
-1dxy2 + dx2y + -1dx2y = 0

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

Solving
-1dxy2 = 0

Solving for variable 'd'.

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

Divide each side by '-1'.
dxy2 = 0

Simplifying
dxy2 = 0

The solution to this equation could not be determined.

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