What is the solution for (dy)/(dx)=3xsqrt(y) ?

The solution for (dy)/(dx)=3xsqrt(y) is y=(9x^4}{16}+\frac{3c_{1}x^2)/4+(c_{1}^2)/4

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(dy)/(dx)=3xsqrt(y)

\frac{d y}{d x} = 3 x y

y = \frac{9 x ^{4}}{16} + \frac{3 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 3 x y

Solve separable ODE:

y = \frac{9 x ^{4}}{16} + \frac{3 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

y = \frac{9 x ^{4}}{16} + \frac{3 c _{1} x ^{2}}{4} + \frac{c _{1}^{2}}{4}

f (x) = arccos (x^{2})

(0, - 2), (1, 2)

\frac{\partial}{\partial u} (\frac{1}{3} (v - 2 u))

\frac{\partial}{\partial x} (- y cos (6 x))

x \to 0 lim (- 2 x - h + 4)

What is the solution for (dy)/(dx)=3xsqrt(y) ?
The solution for (dy)/(dx)=3xsqrt(y) is y=(9x^4}{16}+\frac{3c_{1}x^2)/4+(c_{1}^2)/4