ydx+(3+3x-Y)dy=0

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


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

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

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

Reorder the terms:
dxy + (3dxy + 3dy + -1dyY) = 0
dxy + (3dxy + 3dy + -1dyY) = 0

Combine like terms: dxy + 3dxy = 4dxy
4dxy + 3dy + -1dyY = 0

Solving
4dxy + 3dy + -1dyY = 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 + 3 + -1Y) = 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 + 3 + -1Y)' equal to zero and attempt to solve:

Simplifying
4x + 3 + -1Y = 0

Reorder the terms:
3 + -1Y + 4x = 0

Solving
3 + -1Y + 4x = 0

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

Add '-3' to each side of the equation.
3 + -1Y + -3 + 4x = 0 + -3

Reorder the terms:
3 + -3 + -1Y + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1Y + 4x = 0 + -3
-1Y + 4x = 0 + -3

Combine like terms: 0 + -3 = -3
-1Y + 4x = -3

Add 'Y' to each side of the equation.
-1Y + Y + 4x = -3 + Y

Combine like terms: -1Y + Y = 0
0 + 4x = -3 + Y
4x = -3 + Y

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

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

Simplifying
0 = -3 + Y + -4x

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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