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

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


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

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

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

Reorder the terms:
(dxy2 + -1dx3) + -1x * y * dy = 0
(dxy2 + -1dx3) + -1x * y * dy = 0

Multiply x * y
dxy2 + -1dx3 + -1xy * dy = 0

Multiply xy * dy
dxy2 + -1dx3 + -1dxy2 = 0

Reorder the terms:
dxy2 + -1dxy2 + -1dx3 = 0

Combine like terms: dxy2 + -1dxy2 = 0
0 + -1dx3 = 0
-1dx3 = 0

Solving
-1dx3 = 0

Solving for variable 'd'.

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

Divide each side by '-1'.
dx3 = 0

Simplifying
dx3 = 0

The solution to this equation could not be determined.

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