y(x^2y^2-1)dx+x(x^2y^2+1)dy=0

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Solution for y(x^2y^2-1)dx+x(x^2y^2+1)dy=0 equation:


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

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

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

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

Reorder the terms:
-1dxy + dx3y3 + x(1 + x2y2) * dy = 0

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

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

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

Combine like terms: -1dxy + 1dxy = 0
0 + dx3y3 + dx3y3 = 0
dx3y3 + dx3y3 = 0

Combine like terms: dx3y3 + dx3y3 = 2dx3y3
2dx3y3 = 0

Solving
2dx3y3 = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx3y3 = 0

Simplifying
dx3y3 = 0

The solution to this equation could not be determined.

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