2.1.7.5 ✓ Sympy. Time used: 3.537 (sec). Leaf size: 19

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

\begin{gather*} \begin {aligned} \int \left (u^{2} v{\left (u \right )} - \sin {\left (u \right )}\right ) e^{\frac {u^{3}}{3}}\, du = C_{1} \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)) 
 
('1st_exact', '1st_linear', 'Bernoulli', 'almost_linear', '1st_power_series', 'lie_group', '1st_exact_Integral', '1st_linear_Integral', 'Bernoulli_Integral', 'almost_linear_Integral')