2.1.8.3 Sympy
from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(-(2*x + Derivative(y(x), (x, 2)))**(1/4) + sqrt(y(x) + Derivative(y(x), x)),0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 
NotImplementedError : The given ODE -sqrt(2*x + Derivative(y(x), (x, 2))) + y(x) + Derivative(y(x),
 
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=y(x)) 
 
('factorable',)