2.6.7.8 ✓ Sympy. Time used: 0.255 (sec). Leaf size: 12

from sympy import * 
u = symbols("u") 
v = Function("v") 
ode = Eq(-3*v(u) + Derivative(v(u), u) + 2*v(u)/u,0) 
ics = {} 
dsolve(ode,func=v(u),ics=ics)
 

\begin{gather*} \begin {aligned} v{\left (u \right )} = \frac {C_{1} e^{3 u}}{u^{2}} \end {aligned} \end{gather*}

Python version: 3.12.3 (main, Aug 14 2025, 17:47:21) [GCC 13.3.0] 
Sympy version 1.14.0
 

classify_ode(ode,func=v(u)) 
 
('factorable', 'separable', '1st_exact', '1st_linear', 'Bernoulli', 'almost_linear', 'lie_group', 'separable_Integral', '1st_exact_Integral', '1st_linear_Integral', 'Bernoulli_Integral', 'almost_linear_Integral')