What is the solution for (dy)/(dx)=15sqrt(xy) ?

The solution for (dy)/(dx)=15sqrt(xy) is y=25x^3+5c_{1}x^{3/2}+(c_{1}^2)/4

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(dy)/(dx)=15sqrt(xy)

\frac{d y}{d x} = 15 x y

y = 25 x^{3} + 5 c_{1} x^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

Solution steps

\frac{d y}{d x} = 15 x y

Solve separable ODE:

y = 25 x^{3} + 5 c_{1} x^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

y = 25 x^{3} + 5 c_{1} x^{\frac{3}{2}} + \frac{c _{1}^{2}}{4}

\frac{\partial}{\partial x} (e^{- 2 x} cos (θ))

x \to 0 lim (1 - \frac{sin ( x )}{x})

\frac{d}{d x} (\frac{2 x ^{2}}{∣ x ∣})

\frac{d}{d x} (1 - e^{x})

y = x^{3} - 2 x + 2 (4.58)

What is the solution for (dy)/(dx)=15sqrt(xy) ?
The solution for (dy)/(dx)=15sqrt(xy) is y=25x^3+5c_{1}x^{3/2}+(c_{1}^2)/4