What is the solution for 4/(sqrt(x))+(\frac{dy)/(dx)}{2sqrt(y)}=0 ?

The solution for 4/(sqrt(x))+(\frac{dy)/(dx)}{2sqrt(y)}=0 is y=64x-16c_{1}sqrt(x)+c_{1}^2

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4/(sqrt(x))+(\frac{dy)/(dx)}{2sqrt(y)}=0

\frac{4}{x} + \frac{\frac{d y}{d x}}{2 y} = 0

y = 64 x - 16 c_{1} x + c_{1}^{2}

Solution steps

\frac{4}{x} + \frac{\frac{d y}{d x}}{2 y} = 0

Solve separable ODE:

y = 64 x - 16 c_{1} x + c_{1}^{2}

y = 64 x - 16 c_{1} x + c_{1}^{2}

What is the solution for 4/(sqrt(x))+(\frac{dy)/(dx)}{2sqrt(y)}=0 ?
The solution for 4/(sqrt(x))+(\frac{dy)/(dx)}{2sqrt(y)}=0 is y=64x-16c_{1}sqrt(x)+c_{1}^2