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

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


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

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

Reorder the terms:
(-2dxy2 + dx2y) + (3xy + -1x2) * dy = 0
(-2dxy2 + dx2y) + (3xy + -1x2) * dy = 0

Reorder the terms for easier multiplication:
-2dxy2 + dx2y + dy(3xy + -1x2) = 0
-2dxy2 + dx2y + (3xy * dy + -1x2 * dy) = 0
-2dxy2 + dx2y + (3dxy2 + -1dx2y) = 0

Reorder the terms:
-2dxy2 + 3dxy2 + dx2y + -1dx2y = 0

Combine like terms: -2dxy2 + 3dxy2 = 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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