2.1.6.3 Sympy
from sympy import * 
u = symbols("u") 
v = Function("v") 
ode = Eq(-(Derivative(v(u), u)**4 + 1/v(u))**(1/3) + Derivative(v(u), (u, 2)),0) 
ics = {} 
dsolve(ode,func=v(u),ics=ics)
 
NotImplementedError : The given ODE -(Derivative(v(u), (u, 2))**3 - 1/v(u))**(1/4) + Derivative(v(u)
 
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',)