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

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


Simplifying
(x2y + -2xy2) * dx + -1(x3 + -3x2y) * dy = 0

Reorder the terms:
(-2xy2 + x2y) * dx + -1(x3 + -3x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(-2xy2 + x2y) + -1(x3 + -3x2y) * dy = 0
(-2xy2 * dx + x2y * dx) + -1(x3 + -3x2y) * dy = 0
(-2dx2y2 + dx3y) + -1(x3 + -3x2y) * dy = 0

Reorder the terms:
-2dx2y2 + dx3y + -1(-3x2y + x3) * dy = 0

Reorder the terms for easier multiplication:
-2dx2y2 + dx3y + -1dy(-3x2y + x3) = 0
-2dx2y2 + dx3y + (-3x2y * -1dy + x3 * -1dy) = 0
-2dx2y2 + dx3y + (3dx2y2 + -1dx3y) = 0

Reorder the terms:
-2dx2y2 + 3dx2y2 + dx3y + -1dx3y = 0

Combine like terms: -2dx2y2 + 3dx2y2 = 1dx2y2
1dx2y2 + dx3y + -1dx3y = 0

Combine like terms: dx3y + -1dx3y = 0
1dx2y2 + 0 = 0
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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