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

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


Simplifying
(3xy2 + -1y3) * dx + (xy2 + -2x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(3xy2 + -1y3) + (xy2 + -2x2y) * dy = 0
(3xy2 * dx + -1y3 * dx) + (xy2 + -2x2y) * dy = 0

Reorder the terms:
(-1dxy3 + 3dx2y2) + (xy2 + -2x2y) * dy = 0
(-1dxy3 + 3dx2y2) + (xy2 + -2x2y) * dy = 0

Reorder the terms for easier multiplication:
-1dxy3 + 3dx2y2 + dy(xy2 + -2x2y) = 0
-1dxy3 + 3dx2y2 + (xy2 * dy + -2x2y * dy) = 0
-1dxy3 + 3dx2y2 + (dxy3 + -2dx2y2) = 0

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

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

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

Solving
1dx2y2 = 0

Solving for variable 'd'.

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

Divide each side by '1'.
dx2y2 = 0

Simplifying
dx2y2 = 0

The solution to this equation could not be determined.

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