ydx+(x-xy+2)dy=0

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Solution for ydx+(x-xy+2)dy=0 equation:


Simplifying
ydx + (x + -1xy + 2) * dy = 0

Reorder the terms:
dxy + (2 + x + -1xy) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(2 + x + -1xy) = 0
dxy + (2 * dy + x * dy + -1xy * dy) = 0

Reorder the terms:
dxy + (dxy + -1dxy2 + 2dy) = 0
dxy + (dxy + -1dxy2 + 2dy) = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + -1dxy2 + 2dy = 0

Solving
2dxy + -1dxy2 + 2dy = 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), 'dy'.
dy(2x + -1xy + 2) = 0

Subproblem 1

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