x^2dy+(3-2xy)dx=0

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Solution for x^2dy+(3-2xy)dx=0 equation:


Simplifying
x2dy + (3 + -2xy) * dx = 0

Reorder the terms for easier multiplication:
dx2y + dx(3 + -2xy) = 0
dx2y + (3 * dx + -2xy * dx) = 0
dx2y + (3dx + -2dx2y) = 0

Reorder the terms:
3dx + dx2y + -2dx2y = 0

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

Solving
3dx + -1dx2y = 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(3 + -1xy) = 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 '(3 + -1xy)' equal to zero and attempt to solve: Simplifying 3 + -1xy = 0 Solving 3 + -1xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1xy = 0 + -3 -1xy = 0 + -3 Combine like terms: 0 + -3 = -3 -1xy = -3 Add 'xy' to each side of the equation. -1xy + xy = -3 + xy Combine like terms: -1xy + xy = 0 0 = -3 + xy Simplifying 0 = -3 + 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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