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

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


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

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

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

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

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

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

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

Combine like terms: dxy2 + -1dxy2 = 0
-3dx + 0 + dx2y + -1dx2y = 0
-3dx + dx2y + -1dx2y = 0

Combine like terms: dx2y + -1dx2y = 0
-3dx + 0 = 0
-3dx = 0

Solving
-3dx = 0

Solving for variable 'd'.

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

Divide each side by '-3'.
dx = 0

Simplifying
dx = 0

The solution to this equation could not be determined.

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