What is the solution for (dy)/(dx)=4sqrt(yx) ?

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

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(dy)/(dx)=4sqrt(yx)

\frac{d y}{d x} = 4 y x

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

Solution steps

\frac{d y}{d x} = 4 y x

Solve separable ODE:

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

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

f (x) = 8 x^{2} + 4, at x = - 7

\frac{d}{d x} (x^{3} + 3 x^{2} + 6 x)

y = ln (\frac{cos ( x )}{cos ( x ) - 1})

\int 3 x^{9} e^{- x^{5}} d x

\int \frac{x ^{2}}{x - 8} d x

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