ydx+(x+sqrt(xy))dy=0

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Solution for ydx+(x+sqrt(xy))dy=0 equation: 


Simplifying
ydx + (x + sqrt(xy)) * dy = 0

Multiply qrst * xy
dxy + (x + qrstxy) * dy = 0

Reorder the terms:
dxy + (qrstxy + x) * dy = 0

Reorder the terms for easier multiplication:
dxy + dy(qrstxy + x) = 0
dxy + (qrstxy * dy + x * dy) = 0
dxy + (dqrstxy2 + dxy) = 0

Reorder the terms:
dqrstxy2 + dxy + dxy = 0

Combine like terms: dxy + dxy = 2dxy
dqrstxy2 + 2dxy = 0

Solving
dqrstxy2 + 2dxy = 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), 'dxy'.
dxy(qrsty + 2) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(qrsty + 2)' equal to zero and attempt to solve:

Simplifying
qrsty + 2 = 0

Reorder the terms:
2 + qrsty = 0

Solving
2 + qrsty = 0

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

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

Combine like terms: 2 + -2 = 0
0 + qrsty = 0 + -2
qrsty = 0 + -2

Combine like terms: 0 + -2 = -2
qrsty = -2

Add '-1qrsty' to each side of the equation.
qrsty + -1qrsty = -2 + -1qrsty

Combine like terms: qrsty + -1qrsty = 0
0 = -2 + -1qrsty

Simplifying
0 = -2 + -1qrsty

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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