What is the solution for (dy)/(dx)-(2x)/(sqrt(y))=0 ?

The solution for (dy)/(dx)-(2x)/(sqrt(y))=0 is y=\sqrt[3]{(9x^4)/4+(9c_{1}x^2)/2+(9c_{1}^2)/4}

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(dy)/(dx)-(2x)/(sqrt(y))=0

\frac{d y}{d x} - \frac{2 x}{y} = 0

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

Solution steps

\frac{d y}{d x} - \frac{2 x}{y} = 0

Solve separable ODE:

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

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

x y^{3} d x + (1 - x) d y = 0

\frac{d V}{d t} = - 0.4 V

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

d x + cos (t) x d t - cos (t) d t = 0

\frac{d S}{d r} = k S (r)

What is the solution for (dy)/(dx)-(2x)/(sqrt(y))=0 ?
The solution for (dy)/(dx)-(2x)/(sqrt(y))=0 is y=\sqrt[3]{(9x^4)/4+(9c_{1}x^2)/2+(9c_{1}^2)/4}