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

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


Simplifying
(y + -1x * y2) * dx + -1(x + x2 * y) * dy = 0

Multiply x * y2
(y + -1xy2) * dx + -1(x + x2 * y) * dy = 0

Reorder the terms:
(-1xy2 + y) * dx + -1(x + x2 * y) * dy = 0

Reorder the terms for easier multiplication:
dx(-1xy2 + y) + -1(x + x2 * y) * dy = 0
(-1xy2 * dx + y * dx) + -1(x + x2 * y) * dy = 0

Reorder the terms:
(dxy + -1dx2y2) + -1(x + x2 * y) * dy = 0
(dxy + -1dx2y2) + -1(x + x2 * y) * dy = 0

Multiply x2 * y
dxy + -1dx2y2 + -1(x + x2y) * dy = 0

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

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

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

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