What is the solution for 2sqrt(xy)(dy)/(dx)=5 ?

The solution for 2sqrt(xy)(dy)/(dx)=5 is y=\sqrt[3]{(225x)/4+(45c_{1}sqrt(x))/2+(9c_{1}^2)/4}

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2sqrt(xy)(dy)/(dx)=5

2 x y \frac{d y}{d x} = 5

y = 3 \frac{225 x}{4} + \frac{45 c _{1} x}{2} + \frac{9 c _{1}^{2}}{4}

Solution steps

2 x y \frac{d y}{d x} = 5

Solve separable ODE:

y = 3 \frac{225 x}{4} + \frac{45 c _{1} x}{2} + \frac{9 c _{1}^{2}}{4}

y = 3 \frac{225 x}{4} + \frac{45 c _{1} x}{2} + \frac{9 c _{1}^{2}}{4}

x \to 2 lim (3 x + 4)

f (t) = sin (t)

\frac{d}{d x} (f (x) (sin (x)))

\int \frac{1}{9 + 16 x ^{2}} d x

\frac{d}{d x} (x ln (sin (x)))

What is the solution for 2sqrt(xy)(dy)/(dx)=5 ?
The solution for 2sqrt(xy)(dy)/(dx)=5 is y=\sqrt[3]{(225x)/4+(45c_{1}sqrt(x))/2+(9c_{1}^2)/4}