(2-2xy)dx-(x^2-2xy)dy=0

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Solution for (2-2xy)dx-(x^2-2xy)dy=0 equation:


Simplifying
(2 + -2xy) * dx + -1(x2 + -2xy) * dy = 0

Reorder the terms for easier multiplication:
dx(2 + -2xy) + -1(x2 + -2xy) * dy = 0
(2 * dx + -2xy * dx) + -1(x2 + -2xy) * dy = 0
(2dx + -2dx2y) + -1(x2 + -2xy) * dy = 0

Reorder the terms:
2dx + -2dx2y + -1(-2xy + x2) * dy = 0

Reorder the terms for easier multiplication:
2dx + -2dx2y + -1dy(-2xy + x2) = 0
2dx + -2dx2y + (-2xy * -1dy + x2 * -1dy) = 0
2dx + -2dx2y + (2dxy2 + -1dx2y) = 0

Reorder the terms:
2dx + 2dxy2 + -2dx2y + -1dx2y = 0

Combine like terms: -2dx2y + -1dx2y = -3dx2y
2dx + 2dxy2 + -3dx2y = 0

Solving
2dx + 2dxy2 + -3dx2y = 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(2 + 2y2 + -3xy) = 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 '(2 + 2y2 + -3xy)' equal to zero and attempt to solve: Simplifying 2 + 2y2 + -3xy = 0 Reorder the terms: 2 + -3xy + 2y2 = 0 Solving 2 + -3xy + 2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3xy + -2 + 2y2 = 0 + -2 Reorder the terms: 2 + -2 + -3xy + 2y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3xy + 2y2 = 0 + -2 -3xy + 2y2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3xy + 2y2 = -2 Add '3xy' to each side of the equation. -3xy + 3xy + 2y2 = -2 + 3xy Combine like terms: -3xy + 3xy = 0 0 + 2y2 = -2 + 3xy 2y2 = -2 + 3xy Add '-2y2' to each side of the equation. 2y2 + -2y2 = -2 + 3xy + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = -2 + 3xy + -2y2 Simplifying 0 = -2 + 3xy + -2y2 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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