2.1.9.6 Sympy
from sympy import * 
t = symbols("t") 
x = Function("x") 
ode = Eq(-(x(t) - 1)**2 + Derivative(x(t), t),0) 
ics = {x(0): 1} 
dsolve(ode,func=x(t),ics=ics)
 
ValueError : Couldnt solve for initial conditions
 
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=x(t)) 
 
('factorable', 'separable', '1st_exact', '1st_rational_riccati', '1st_power_series', 'lie_group', 'separable_Integral', '1st_exact_Integral')