What is the solution for y^'+y/x-sqrt(y)=0 ?

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

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y^'+y/x-sqrt(y)=0

y^{^{'}} + \frac{y}{x} - y = 0

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

Solution steps

y^{'} (x) + \frac{y}{x} - y = 0

Solve Bernoulli ODE:

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

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

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