(y-1)dx+xdy=0

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Solution for (y-1)dx+xdy=0 equation:


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

Reorder the terms:
(-1 + y) * dx + xdy = 0

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

Combine like terms: dxy + dxy = 2dxy
-1dx + 2dxy = 0

Solving
-1dx + 2dxy = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dx'.
dx(-1 + 2y) = 0

Subproblem 1

Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 2y)' equal to zero and attempt to solve: Simplifying -1 + 2y = 0 Solving -1 + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 0 + 1 2y = 0 + 1 Combine like terms: 0 + 1 = 1 2y = 1 Add '-2y' to each side of the equation. 2y + -2y = 1 + -2y Combine like terms: 2y + -2y = 0 0 = 1 + -2y Simplifying 0 = 1 + -2y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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