ydx(3x-xy+2)dy=0

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


Simplifying
ydx(3x + -1xy + 2) * dy = 0

Reorder the terms:
dxy(2 + 3x + -1xy) * dy = 0

Reorder the terms for easier multiplication:
dxy * dy(2 + 3x + -1xy) = 0

Multiply dxy * dy
d2xy2(2 + 3x + -1xy) = 0
(2 * d2xy2 + 3x * d2xy2 + -1xy * d2xy2) = 0
(2d2xy2 + 3d2x2y2 + -1d2x2y3) = 0

Solving
2d2xy2 + 3d2x2y2 + -1d2x2y3 = 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), 'd2xy2'.
d2xy2(2 + 3x + -1xy) = 0


Subproblem 1
Set the factor 'd2xy2' equal to zero and attempt to solve:

Simplifying
d2xy2 = 0

Solving
d2xy2 = 0

Move all terms containing d to the left, all other terms to the right.

Simplifying
d2xy2 = 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 + 3x + -1xy)' equal to zero and attempt to solve:

Simplifying
2 + 3x + -1xy = 0

Solving
2 + 3x + -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 + 3x + -2 + -1xy = 0 + -2

Reorder the terms:
2 + -2 + 3x + -1xy = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x + -1xy = 0 + -2
3x + -1xy = 0 + -2

Combine like terms: 0 + -2 = -2
3x + -1xy = -2

Add '-3x' to each side of the equation.
3x + -3x + -1xy = -2 + -3x

Combine like terms: 3x + -3x = 0
0 + -1xy = -2 + -3x
-1xy = -2 + -3x

Add 'xy' to each side of the equation.
-1xy + xy = -2 + -3x + xy

Combine like terms: -1xy + xy = 0
0 = -2 + -3x + xy

Simplifying
0 = -2 + -3x + 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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