What is the solution for 2(sqrt(xy)-y)dx-xdy=0 ?

The solution for 2(sqrt(xy)-y)dx-xdy=0 is y=(4x)/9+(4c_{1})/(3x^{1/2)}+(c_{1}^2)/(x^2)

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2(sqrt(xy)-y)dx-xdy=0

2 (x y - y) d x - x d y = 0

y = \frac{4 x}{9} + \frac{4 c _{1}}{3 x ^{\frac{1}{2}}} + \frac{c _{1}^{2}}{x ^{2}}

Solution steps

2 (x y - y) d x - x d y = 0

Solve Bernoulli ODE:

y = \frac{4 x}{9} + \frac{4 c _{1}}{3 x ^{\frac{1}{2}}} + \frac{c _{1}^{2}}{x ^{2}}

y = \frac{4 x}{9} + \frac{4 c _{1}}{3 x ^{\frac{1}{2}}} + \frac{c _{1}^{2}}{x ^{2}}

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What is the solution for 2(sqrt(xy)-y)dx-xdy=0 ?
The solution for 2(sqrt(xy)-y)dx-xdy=0 is y=(4x)/9+(4c_{1})/(3x^{1/2)}+(c_{1}^2)/(x^2)