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

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


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

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

Reorder the terms:
(-1xy + y2) * dx + (x2 + x * y) * dy = 0

Reorder the terms for easier multiplication:
dx(-1xy + y2) + (x2 + x * y) * dy = 0
(-1xy * dx + y2 * dx) + (x2 + x * y) * dy = 0

Reorder the terms:
(dxy2 + -1dx2y) + (x2 + x * y) * dy = 0
(dxy2 + -1dx2y) + (x2 + x * y) * dy = 0

Multiply x * y
dxy2 + -1dx2y + (x2 + xy) * dy = 0

Reorder the terms:
dxy2 + -1dx2y + (xy + x2) * dy = 0

Reorder the terms for easier multiplication:
dxy2 + -1dx2y + dy(xy + x2) = 0
dxy2 + -1dx2y + (xy * dy + x2 * dy) = 0
dxy2 + -1dx2y + (dxy2 + dx2y) = 0

Reorder the terms:
dxy2 + dxy2 + -1dx2y + dx2y = 0

Combine like terms: dxy2 + dxy2 = 2dxy2
2dxy2 + -1dx2y + dx2y = 0

Combine like terms: -1dx2y + dx2y = 0
2dxy2 + 0 = 0
2dxy2 = 0

Solving
2dxy2 = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dxy2 = 0

Simplifying
dxy2 = 0

The solution to this equation could not be determined.

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