2ydx-(3y-2x)dy=0

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


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

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

Reorder the terms for easier multiplication:
2dxy + -1dy(-2x + 3y) = 0
2dxy + (-2x * -1dy + 3y * -1dy) = 0
2dxy + (2dxy + -3dy2) = 0

Combine like terms: 2dxy + 2dxy = 4dxy
4dxy + -3dy2 = 0

Solving
4dxy + -3dy2 = 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(4x + -3y) = 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 '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '-4x' to each side of the equation.
4x + -4x + -3y = 0 + -4x

Combine like terms: 4x + -4x = 0
0 + -3y = 0 + -4x
-3y = 0 + -4x
Remove the zero:
-3y = -4x

Add '3y' to each side of the equation.
-3y + 3y = -4x + 3y

Combine like terms: -3y + 3y = 0
0 = -4x + 3y

Simplifying
0 = -4x + 3y

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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