What is the solution for (dy)/(dx)=3xsqrt(2y) ?

The solution for (dy)/(dx)=3xsqrt(2y) is y=(9x^4)/8+(3c_{1}x^2}{2sqrt(2)}+\frac{c_{1}^2)/4

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(dy)/(dx)=3xsqrt(2y)

\frac{d y}{d x} = 3 x 2 y

y = \frac{9 x ^{4}}{8} + \frac{3 c _{1} x ^{2}}{2 2} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 3 x 2 y

Solve separable ODE:

y = \frac{9 x ^{4}}{8} + \frac{3 c _{1} x ^{2}}{2 2} + \frac{c _{1}^{2}}{4}

y = \frac{9 x ^{4}}{8} + \frac{3 c _{1} x ^{2}}{2 2} + \frac{c _{1}^{2}}{4}

\frac{d h}{d t} = - \frac{3}{100} h - 16

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

3 x y^{^{'}} - 5 y = 0

x ln (x) = y (1 + 3 + y^{2}) y^{^{'}} (x), y (1) = 1

\frac{4 d y}{( x ^{2} + 1 ) d x} = \frac{1}{2 y}

What is the solution for (dy)/(dx)=3xsqrt(2y) ?
The solution for (dy)/(dx)=3xsqrt(2y) is y=(9x^4)/8+(3c_{1}x^2}{2sqrt(2)}+\frac{c_{1}^2)/4