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

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


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

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

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

Remove parenthesis around (x + y)
-1dxy + dx2 + x + y = 0

Solving
-1dxy + dx2 + x + y = 0

Solving for variable 'd'.

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

Add '-1x' to each side of the equation.
-1dxy + dx2 + x + -1x + y = 0 + -1x

Combine like terms: x + -1x = 0
-1dxy + dx2 + 0 + y = 0 + -1x
-1dxy + dx2 + y = 0 + -1x
Remove the zero:
-1dxy + dx2 + y = -1x

Add '-1y' to each side of the equation.
-1dxy + dx2 + y + -1y = -1x + -1y

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

Reorder the terms:
-1dxy + dx2 + x + y = -1x + x + -1y + y

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

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

The solution to this equation could not be determined.

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