What is the solution for (dy)/(dx)=9xsqrt(y) ?

The solution for (dy)/(dx)=9xsqrt(y) is y=(81x^4}{16}+\frac{9c_{1}x^2)/4+(c_{1}^2)/4

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(dy)/(dx)=9xsqrt(y)

\frac{d y}{d x} = 9 x y

y = \frac{81 x ^{4}}{16} + \frac{9 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 9 x y

Solve separable ODE:

y = \frac{81 x ^{4}}{16} + \frac{9 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{81 x ^{4}}{16} + \frac{9 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

What is the solution for (dy)/(dx)=9xsqrt(y) ?
The solution for (dy)/(dx)=9xsqrt(y) is y=(81x^4}{16}+\frac{9c_{1}x^2)/4+(c_{1}^2)/4