What is the solution for (dy)/(dx)=(sqrt(x))/(3y) ?

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

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(dy)/(dx)=(sqrt(x))/(3y)

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

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

Solution steps

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

Solve separable ODE:

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

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

x \to 0 + lim (\frac{x ^{- 2}}{2})

\int sin (x) cos^{2} (d) x d x

\frac{d}{d x} ((- 3)^{x})

(4, - 3), (- 2, 7)

f (x) = x^{2} cos (6 x)

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