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

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


Simplifying
y(x3 + -1y) * dx + -1x(x3 + y) * dy = 0

Reorder the terms for easier multiplication:
y * dx(x3 + -1y) + -1x(x3 + y) * dy = 0

Multiply y * dx
dxy(x3 + -1y) + -1x(x3 + y) * dy = 0
(x3 * dxy + -1y * dxy) + -1x(x3 + y) * dy = 0

Reorder the terms:
(-1dxy2 + dx4y) + -1x(x3 + y) * dy = 0
(-1dxy2 + dx4y) + -1x(x3 + y) * dy = 0

Reorder the terms for easier multiplication:
-1dxy2 + dx4y + -1x * dy(x3 + y) = 0

Multiply x * dy
-1dxy2 + dx4y + -1dxy(x3 + y) = 0
-1dxy2 + dx4y + (x3 * -1dxy + y * -1dxy) = 0

Reorder the terms:
-1dxy2 + dx4y + (-1dxy2 + -1dx4y) = 0
-1dxy2 + dx4y + (-1dxy2 + -1dx4y) = 0

Reorder the terms:
-1dxy2 + -1dxy2 + dx4y + -1dx4y = 0

Combine like terms: -1dxy2 + -1dxy2 = -2dxy2
-2dxy2 + dx4y + -1dx4y = 0

Combine like terms: dx4y + -1dx4y = 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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