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

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


Simplifying
(xy + y3) * dx + (x2 + -1xy2) * dy = 0

Reorder the terms for easier multiplication:
dx(xy + y3) + (x2 + -1xy2) * dy = 0
(xy * dx + y3 * dx) + (x2 + -1xy2) * dy = 0

Reorder the terms:
(dxy3 + dx2y) + (x2 + -1xy2) * dy = 0
(dxy3 + dx2y) + (x2 + -1xy2) * dy = 0

Reorder the terms:
dxy3 + dx2y + (-1xy2 + x2) * dy = 0

Reorder the terms for easier multiplication:
dxy3 + dx2y + dy(-1xy2 + x2) = 0
dxy3 + dx2y + (-1xy2 * dy + x2 * dy) = 0
dxy3 + dx2y + (-1dxy3 + dx2y) = 0

Reorder the terms:
dxy3 + -1dxy3 + dx2y + dx2y = 0

Combine like terms: dxy3 + -1dxy3 = 0
0 + dx2y + dx2y = 0
dx2y + dx2y = 0

Combine like terms: dx2y + dx2y = 2dx2y
2dx2y = 0

Solving
2dx2y = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx2y = 0

Simplifying
dx2y = 0

The solution to this equation could not be determined.

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