(x+y)dx+(x-y)dx=0

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Solution for (x+y)dx+(x-y)dx=0 equation:


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

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

Reorder the terms:
(dxy + dx2) + (x + -1y) * dx = 0
(dxy + dx2) + (x + -1y) * dx = 0

Reorder the terms for easier multiplication:
dxy + dx2 + dx(x + -1y) = 0
dxy + dx2 + (x * dx + -1y * dx) = 0

Reorder the terms:
dxy + dx2 + (-1dxy + dx2) = 0
dxy + dx2 + (-1dxy + dx2) = 0

Reorder the terms:
dxy + -1dxy + dx2 + dx2 = 0

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

Combine like terms: dx2 + dx2 = 2dx2
2dx2 = 0

Solving
2dx2 = 0

Solving for variable 'd'.

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

Divide each side by '2'.
dx2 = 0

Simplifying
dx2 = 0

The solution to this equation could not be determined.

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