What is the solution for (dy)/(dx)=sqrt(y/x) ?

The solution for (dy)/(dx)=sqrt(y/x) is y=x+c_{1}sqrt(x)+(c_{1}^2)/4

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(dy)/(dx)=sqrt(y/x)

\frac{d y}{d x} = \frac{y}{x}

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

Solution steps

\frac{d y}{d x} = \frac{y}{x}

Solve separable ODE:

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

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

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What is the solution for (dy)/(dx)=sqrt(y/x) ?
The solution for (dy)/(dx)=sqrt(y/x) is y=x+c_{1}sqrt(x)+(c_{1}^2)/4