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

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

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

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

Solution steps

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

Solve separable ODE:

\frac{d y}{d x} y = (2 x + 1)^{3}

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

\frac{d y}{d x} = - \frac{y}{1200 + 10 x}

\frac{d x}{d t} = 7 x t^{5}

\frac{d y}{d x} + (\frac{( 1 - y ^{2} )}{( 1 - x ^{2} )}) = 0

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