(X-1)Dx+(y-X)dy=0

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Solution for (X-1)Dx+(y-X)dy=0 equation:


Simplifying
(X + -1) * Dx + (y + -1X) * dy = 0

Reorder the terms:
(-1 + X) * Dx + (y + -1X) * dy = 0

Reorder the terms for easier multiplication:
xD(-1 + X) + (y + -1X) * dy = 0
(-1 * xD + X * xD) + (y + -1X) * dy = 0
(-1xD + xDX) + (y + -1X) * dy = 0

Reorder the terms:
-1xD + xDX + (-1X + y) * dy = 0

Reorder the terms for easier multiplication:
-1xD + xDX + dy(-1X + y) = 0
-1xD + xDX + (-1X * dy + y * dy) = 0
-1xD + xDX + (-1dyX + dy2) = 0

Reorder the terms:
-1dyX + dy2 + -1xD + xDX = 0

Solving
-1dyX + dy2 + -1xD + xDX = 0

Solving for variable 'd'.

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

Add 'xD' to each side of the equation.
-1dyX + dy2 + -1xD + xD + xDX = 0 + xD

Combine like terms: -1xD + xD = 0
-1dyX + dy2 + 0 + xDX = 0 + xD
-1dyX + dy2 + xDX = 0 + xD
Remove the zero:
-1dyX + dy2 + xDX = xD

Add '-1xDX' to each side of the equation.
-1dyX + dy2 + xDX + -1xDX = xD + -1xDX

Combine like terms: xDX + -1xDX = 0
-1dyX + dy2 + 0 = xD + -1xDX
-1dyX + dy2 = xD + -1xDX

Reorder the terms:
-1dyX + dy2 + -1xD + xDX = xD + -1xD + -1xDX + xDX

Combine like terms: xD + -1xD = 0
-1dyX + dy2 + -1xD + xDX = 0 + -1xDX + xDX
-1dyX + dy2 + -1xD + xDX = -1xDX + xDX

Combine like terms: -1xDX + xDX = 0
-1dyX + dy2 + -1xD + xDX = 0

The solution to this equation could not be determined.

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