(x-y)dx+(x+y)dy=o

Solution for (x-y)dx+(x+y)dy=o equation:

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

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

Reorder the terms:
(-1dxy + dx2) + (x + y) * dy = o
(-1dxy + dx2) + (x + y) * dy = o

Reorder the terms for easier multiplication:
-1dxy + dx2 + dy(x + y) = o
-1dxy + dx2 + (x * dy + y * dy) = o
-1dxy + dx2 + (dxy + dy2) = o

Reorder the terms:
-1dxy + dxy + dx2 + dy2 = o

Combine like terms: -1dxy + dxy = 0
0 + dx2 + dy2 = o
dx2 + dy2 = o

Solving
dx2 + dy2 = o

Solving for variable 'd'.

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

Combine like terms: o + -1o = 0
dx2 + dy2 + -1o = 0

The solution to this equation could not be determined.