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

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


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

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

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

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

Solving for variable 'd'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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