2.6.7.7 ✓ Mathematica. Time used: 0.03 (sec). Leaf size: 21

ode=D[v[u],u]+2*v[u]/u==3*v[u]; 
ic={}; 
DSolve[{ode,ic},v[u],u,IncludeSingularSolutions->True]
 

\begin{align*} v(u)&\to \frac {c_1 e^{3 u}}{u^2}\\ v(u)&\to 0 \end{align*}