(x-5)dy+ydx=0

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Solution for (x-5)dy+ydx=0 equation: 


Simplifying
(x + -5) * dy + ydx = 0

Reorder the terms:
(-5 + x) * dy + ydx = 0

Reorder the terms for easier multiplication:
dy(-5 + x) + ydx = 0
(-5 * dy + x * dy) + ydx = 0

Reorder the terms:
(dxy + -5dy) + ydx = 0
(dxy + -5dy) + ydx = 0

Reorder the terms:
dxy + dxy + -5dy = 0

Combine like terms: dxy + dxy = 2dxy
2dxy + -5dy = 0

Solving
2dxy + -5dy = 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(2x + -5) = 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 '(2x + -5)' equal to zero and attempt to solve:

Simplifying
2x + -5 = 0

Reorder the terms:
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Add '-2x' to each side of the equation.
2x + -2x = 5 + -2x

Combine like terms: 2x + -2x = 0
0 = 5 + -2x

Simplifying
0 = 5 + -2x

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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