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

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


Simplifying
(x2y + x) * dy + (xy2 + -1y) * dx = 0

Reorder the terms:
(x + x2y) * dy + (xy2 + -1y) * dx = 0

Reorder the terms for easier multiplication:
dy(x + x2y) + (xy2 + -1y) * dx = 0
(x * dy + x2y * dy) + (xy2 + -1y) * dx = 0
(dxy + dx2y2) + (xy2 + -1y) * dx = 0

Reorder the terms for easier multiplication:
dxy + dx2y2 + dx(xy2 + -1y) = 0
dxy + dx2y2 + (xy2 * dx + -1y * dx) = 0

Reorder the terms:
dxy + dx2y2 + (-1dxy + dx2y2) = 0
dxy + dx2y2 + (-1dxy + dx2y2) = 0

Reorder the terms:
dxy + -1dxy + dx2y2 + dx2y2 = 0

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

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
2dx2y2 = 0

Solving
2dx2y2 = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx2y2 = 0

Simplifying
dx2y2 = 0

The solution to this equation could not be determined.

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