What is the solution for (dy)/(dx)=((3y^2))/(sqrt(x)) ?

The solution for (dy)/(dx)=((3y^2))/(sqrt(x)) is y=-(6sqrt(x)-c_{1})/(36x-c_{1)^2}

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(dy)/(dx)=((3y^2))/(sqrt(x))

\frac{d y}{d x} = \frac{( 3 y ^{2} )}{x}

y = - \frac{6 x - c _{1}}{36 x - c _{1}^{2}}

Solution steps

\frac{d y}{d x} = \frac{( 3 y ^{2} )}{x}

Solve separable ODE:

y = - \frac{6 x - c _{1}}{36 x - c _{1}^{2}}

y = - \frac{6 x - c _{1}}{36 x - c _{1}^{2}}

y^{^{'}} = \frac{( x ^{2} y - y )}{y + 1}

6

\frac{\partial}{\partial x} (4 x^{4} y^{8} + 9 x^{6} y^{7})

\frac{d}{d x} (2^{x} (x^{2} + 1))

(2 x - 1) d x + (3 y + 5) d y = 0

What is the solution for (dy)/(dx)=((3y^2))/(sqrt(x)) ?
The solution for (dy)/(dx)=((3y^2))/(sqrt(x)) is y=-(6sqrt(x)-c_{1})/(36x-c_{1)^2}