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}

\int 4 x - x^{3} d x

i = 1 \sum \infty (\frac{1}{2})^{i - 1}

y^{^{''}} - 3 y^{^{'}} = 2 e^{x} sin (2 x)

f (x) = \frac{x - 7}{9 x ^{2} e ^{x}}

\frac{\partial}{\partial x} ((e^{x} - 3) sin (y))

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