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

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


Simplifying
y(xy + x2y2) * dx + x(xy + -1x2y2) * dy = 0

Reorder the terms for easier multiplication:
y * dx(xy + x2y2) + x(xy + -1x2y2) * dy = 0

Multiply y * dx
dxy(xy + x2y2) + x(xy + -1x2y2) * dy = 0
(xy * dxy + x2y2 * dxy) + x(xy + -1x2y2) * dy = 0
(dx2y2 + dx3y3) + x(xy + -1x2y2) * dy = 0

Reorder the terms for easier multiplication:
dx2y2 + dx3y3 + x * dy(xy + -1x2y2) = 0

Multiply x * dy
dx2y2 + dx3y3 + dxy(xy + -1x2y2) = 0
dx2y2 + dx3y3 + (xy * dxy + -1x2y2 * dxy) = 0
dx2y2 + dx3y3 + (dx2y2 + -1dx3y3) = 0

Reorder the terms:
dx2y2 + dx2y2 + dx3y3 + -1dx3y3 = 0

Combine like terms: dx2y2 + dx2y2 = 2dx2y2
2dx2y2 + dx3y3 + -1dx3y3 = 0

Combine like terms: dx3y3 + -1dx3y3 = 0
2dx2y2 + 0 = 0
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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