What is the solution for (y^')/(sqrt(y))=6x^2 ?

The solution for (y^')/(sqrt(y))=6x^2 is y=x^6+c_{1}x^3+(c_{1}^2)/4

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(y^')/(sqrt(y))=6x^2

\frac{y ^{^{'}}}{y} = 6 x^{2}

y = x^{6} + c_{1} x^{3} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{y ^{'} ( x )}{y} = 6 x^{2}

Solve separable ODE:

y = x^{6} + c_{1} x^{3} + \frac{c _{1}^{2}}{4}

y = x^{6} + c_{1} x^{3} + \frac{c _{1}^{2}}{4}

What is the solution for (y^')/(sqrt(y))=6x^2 ?
The solution for (y^')/(sqrt(y))=6x^2 is y=x^6+c_{1}x^3+(c_{1}^2)/4