What is the solution for y^'+y/x-sqrt(y)=0,y(1)=0 ?

The solution for y^'+y/x-sqrt(y)=0,y(1)=0 is y=(x^2)/9-(2sqrt(x))/9+1/(9x)

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y^'+y/x-sqrt(y)=0,y(1)=0

y^{^{'}} + \frac{y}{x} - y = 0, y (1) = 0

y = \frac{x ^{2}}{9} - \frac{2 x}{9} + \frac{1}{9 x}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{x ^{2}}{9} - \frac{2 x}{9} + \frac{1}{9 x}

y = \frac{x ^{2}}{9} - \frac{2 x}{9} + \frac{1}{9 x}

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