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

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


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

Multiply qrst * xy
(x + qrstxy) * dy + -1ydx = 0

Reorder the terms:
(qrstxy + x) * dy + -1ydx = 0

Reorder the terms for easier multiplication:
dy(qrstxy + x) + -1ydx = 0
(qrstxy * dy + x * dy) + -1ydx = 0
(dqrstxy2 + dxy) + -1ydx = 0

Combine like terms: dxy + -1dxy = 0
dqrstxy2 + 0 = 0
dqrstxy2 = 0

Solving
dqrstxy2 = 0

Solving for variable 'd'.

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

Simplifying
dqrstxy2 = 0

The solution to this equation could not be determined.

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