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

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


Simplifying
(3yx2 + -1y3) * dx + (xy2 + -1x3) * dy = 0

Reorder the terms for easier multiplication:
dx(3x2y + -1y3) + (xy2 + -1x3) * dy = 0
(3x2y * dx + -1y3 * dx) + (xy2 + -1x3) * dy = 0

Reorder the terms:
(-1dxy3 + 3dx3y) + (xy2 + -1x3) * dy = 0
(-1dxy3 + 3dx3y) + (xy2 + -1x3) * dy = 0

Reorder the terms for easier multiplication:
-1dxy3 + 3dx3y + dy(xy2 + -1x3) = 0
-1dxy3 + 3dx3y + (xy2 * dy + -1x3 * dy) = 0
-1dxy3 + 3dx3y + (dxy3 + -1dx3y) = 0

Reorder the terms:
-1dxy3 + dxy3 + 3dx3y + -1dx3y = 0

Combine like terms: -1dxy3 + dxy3 = 0
0 + 3dx3y + -1dx3y = 0
3dx3y + -1dx3y = 0

Combine like terms: 3dx3y + -1dx3y = 2dx3y
2dx3y = 0

Solving
2dx3y = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx3y = 0

Simplifying
dx3y = 0

The solution to this equation could not be determined.

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