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

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

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

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

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

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

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

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

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

Combine like terms: dx4y + dx4y = 2dx4y
2dx4y = 0

Solving
2dx4y = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx4y = 0

Simplifying
dx4y = 0

The solution to this equation could not be determined.

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