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

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

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

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

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

y = e^{\frac{2}{3} x^{\frac{3}{2}} + c_{1}}

t \to 0 lim (e^{- 5 t})

f (x) = \frac{4}{3} π x^{2}

\frac{\partial}{\partial y} ((x - y)^{2} y)

\frac{\partial}{\partial x} (3 arctan (\frac{x}{y}))

\frac{d}{d x} (x^{x} - 100)

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