(x-y)DX+(x+y)day=0

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


Simplifying
(x + -1y) * DX + (x + y) * day = 0

Reorder the terms for easier multiplication:
DX(x + -1y) + (x + y) * day = 0
(x * DX + -1y * DX) + (x + y) * day = 0
(xDX + -1yDX) + (x + y) * day = 0

Reorder the terms for easier multiplication:
xDX + -1yDX + ady(x + y) = 0
xDX + -1yDX + (x * ady + y * ady) = 0
xDX + -1yDX + (adxy + ady2) = 0

Reorder the terms:
adxy + ady2 + xDX + -1yDX = 0

Solving
adxy + ady2 + xDX + -1yDX = 0

Solving for variable 'a'.

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

Add '-1xDX' to each side of the equation.
adxy + ady2 + xDX + -1xDX + -1yDX = 0 + -1xDX

Combine like terms: xDX + -1xDX = 0
adxy + ady2 + 0 + -1yDX = 0 + -1xDX
adxy + ady2 + -1yDX = 0 + -1xDX
Remove the zero:
adxy + ady2 + -1yDX = -1xDX

Add 'yDX' to each side of the equation.
adxy + ady2 + -1yDX + yDX = -1xDX + yDX

Combine like terms: -1yDX + yDX = 0
adxy + ady2 + 0 = -1xDX + yDX
adxy + ady2 = -1xDX + yDX

Reorder the terms:
adxy + ady2 + xDX + -1yDX = -1xDX + xDX + yDX + -1yDX

Combine like terms: -1xDX + xDX = 0
adxy + ady2 + xDX + -1yDX = 0 + yDX + -1yDX
adxy + ady2 + xDX + -1yDX = yDX + -1yDX

Combine like terms: yDX + -1yDX = 0
adxy + ady2 + xDX + -1yDX = 0

The solution to this equation could not be determined.

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