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

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

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(dy)/(dx)=(y^2)/(sqrt(x))

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

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

Solution steps

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

Solve separable ODE:

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

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

x^{^{'}} = 1 - 3 x + 2 x^{2}, x (0) = 2

3 y + 5 + (3 x - 7) \frac{d y}{d x} = 0

y^{^{'}} = \frac{7 x ^{2} - 1}{7 + 4 y}

\frac{d y}{d x} y = ln (arccos (x^{2} + 4))

y^{^{'}} + y sin (x) = 3 sin (x)

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