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

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


Simplifying
x2dy + -1(2xy + 3) * dx = 0

Reorder the terms:
dx2y + -1(3 + 2xy) * dx = 0

Reorder the terms for easier multiplication:
dx2y + -1dx(3 + 2xy) = 0
dx2y + (3 * -1dx + 2xy * -1dx) = 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), '-1dx'.
-1dx(3 + xy) = 0

Ignore the factor -1.

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 + xy)' equal to zero and attempt to solve: Simplifying 3 + xy = 0 Solving 3 + xy = 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 + xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy = 0 + -3 xy = 0 + -3 Combine like terms: 0 + -3 = -3 xy = -3 Add '-1xy' to each side of the equation. xy + -1xy = -3 + -1xy Combine like terms: xy + -1xy = 0 0 = -3 + -1xy Simplifying 0 = -3 + -1xy 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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