What is the solution for (dv)/(dt)=sqrt(2/9)v ?

The solution for (dv)/(dt)=sqrt(2/9)v is v=e^{(sqrt(2)t+c_{1})/3}

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(dv)/(dt)=sqrt(2/9)v

\frac{d v}{d t} = \frac{2}{9} v

v = e^{\frac{2 t + c _{1}}{3}}

Solution steps

\frac{d v}{d t} = \frac{2}{9} v

Solve separable ODE:

v = e^{\frac{2 t + c _{1}}{3}}

v = e^{\frac{2 t + c _{1}}{3}}

\frac{d}{d x} (x + y) = 1

(1 + e^{x}) y \cdot y^{^{'}} = e^{y}

x y^{^{'}} - y = 0, y (0) = x

y^{^{'}} - y = 0, y (0) = 2

\frac{d y}{d x} y = arctan (3) x^{2}

What is the solution for (dv)/(dt)=sqrt(2/9)v ?
The solution for (dv)/(dt)=sqrt(2/9)v is v=e^{(sqrt(2)t+c_{1})/3}