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

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


Simplifying
(x3y2 + x) * dy + (x2y3 + -1y) * dx = 0

Reorder the terms:
(x + x3y2) * dy + (x2y3 + -1y) * dx = 0

Reorder the terms for easier multiplication:
dy(x + x3y2) + (x2y3 + -1y) * dx = 0
(x * dy + x3y2 * dy) + (x2y3 + -1y) * dx = 0
(dxy + dx3y3) + (x2y3 + -1y) * dx = 0

Reorder the terms for easier multiplication:
dxy + dx3y3 + dx(x2y3 + -1y) = 0
dxy + dx3y3 + (x2y3 * dx + -1y * dx) = 0

Reorder the terms:
dxy + dx3y3 + (-1dxy + dx3y3) = 0
dxy + dx3y3 + (-1dxy + dx3y3) = 0

Reorder the terms:
dxy + -1dxy + dx3y3 + dx3y3 = 0

Combine like terms: dxy + -1dxy = 0
0 + dx3y3 + dx3y3 = 0
dx3y3 + dx3y3 = 0

Combine like terms: dx3y3 + dx3y3 = 2dx3y3
2dx3y3 = 0

Solving
2dx3y3 = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx3y3 = 0

Simplifying
dx3y3 = 0

The solution to this equation could not be determined.

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