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

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


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

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

Reorder the terms:
(-1dxy + dx2y2) + (x2y + x) * dy = 0
(-1dxy + dx2y2) + (x2y + x) * dy = 0

Reorder the terms:
-1dxy + dx2y2 + (x + x2y) * dy = 0

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

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

Combine like terms: -1dxy + dxy = 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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