What is the solution for (dy)/(dx)-(x/(2sqrt(y)))=0 ?

The solution for (dy)/(dx)-(x/(2sqrt(y)))=0 is y=(\sqrt[3]{9x^4+72c_{1}x^2+144c_{1}^2})/4

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(dy)/(dx)-(x/(2sqrt(y)))=0

\frac{d y}{d x} - (\frac{x}{2 y}) = 0

Solution steps

\frac{d y}{d x} - (\frac{x}{2 y}) = 0

Solve separable ODE:

\frac{y ^{2} d y}{y ^{3} - 4} = \frac{x d x}{x ^{2} + 2}

\frac{d r}{d t} = 0.1872 \cdot r, r (0) = 24

1 + x^{3} y^{^{'}} = x^{2} y + x^{2}

y^{^{'}} = - \frac{y}{x}, y (1) = 3

\frac{d y}{d x} = \frac{x e ^{2 x - y}}{e ^{x - 2 y}}

What is the solution for (dy)/(dx)-(x/(2sqrt(y)))=0 ?
The solution for (dy)/(dx)-(x/(2sqrt(y)))=0 is y=(\sqrt[3]{9x^4+72c_{1}x^2+144c_{1}^2})/4