2.3.7.4 Sympy
from sympy import * 
t = symbols("t") 
T = Function("T") 
ode = Eq(t + (T(t) + 1/sqrt(t**2 - T(t)**2))*Derivative(T(t), t) - T(t)/(t*sqrt(t**2 - T(t)**2)),0) 
ics = {} 
dsolve(ode,func=T(t),ics=ics)
 
Timed Out
 
Python version: 3.12.3 (main, Aug 14 2025, 17:47:21) [GCC 13.3.0] 
Sympy version 1.14.0