YDX+(X-YX^2)DY=0

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Solution for YDX+(X-YX^2)DY=0 equation:


Simplifying
YDX + (X + -1YX2) * DY = 0

Reorder the terms for easier multiplication:
DXY + DY(X + -1X2Y) = 0
DXY + (X * DY + -1X2Y * DY) = 0
DXY + (DXY + -1DX2Y2) = 0

Combine like terms: DXY + DXY = 2DXY
2DXY + -1DX2Y2 = 0

Solving
2DXY + -1DX2Y2 = 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), 'DXY'.
DXY(2 + -1XY) = 0

Subproblem 1

Set the factor 'DXY' equal to zero and attempt to solve: Simplifying DXY = 0 Solving DXY = 0 Move all terms containing D to the left, all other terms to the right. Simplifying DXY = 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 '(2 + -1XY)' equal to zero and attempt to solve: Simplifying 2 + -1XY = 0 Solving 2 + -1XY = 0 Move all terms containing D to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1XY = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1XY = 0 + -2 -1XY = 0 + -2 Combine like terms: 0 + -2 = -2 -1XY = -2 Add 'XY' to each side of the equation. -1XY + XY = -2 + XY Combine like terms: -1XY + XY = 0 0 = -2 + XY Simplifying 0 = -2 + XY 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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