(x^2-2y)dx-xdy=0

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Solution for (x^2-2y)dx-xdy=0 equation:


Simplifying
(x2 + -2y) * dx + -1xdy = 0

Reorder the terms for easier multiplication:
dx(x2 + -2y) + -1xdy = 0
(x2 * dx + -2y * dx) + -1xdy = 0

Reorder the terms:
(-2dxy + dx3) + -1xdy = 0
(-2dxy + dx3) + -1xdy = 0

Reorder the terms:
-2dxy + -1dxy + dx3 = 0

Combine like terms: -2dxy + -1dxy = -3dxy
-3dxy + dx3 = 0

Solving
-3dxy + dx3 = 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(-3y + x2) = 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 '(-3y + x2)' equal to zero and attempt to solve: Simplifying -3y + x2 = 0 Reorder the terms: x2 + -3y = 0 Solving x2 + -3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x2' to each side of the equation. x2 + -1x2 + -3y = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -3y = 0 + -1x2 -3y = 0 + -1x2 Remove the zero: -3y = -1x2 Add '3y' to each side of the equation. -3y + 3y = -1x2 + 3y Combine like terms: -3y + 3y = 0 0 = -1x2 + 3y Simplifying 0 = -1x2 + 3y 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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