2.6.3.5 Sympy
from sympy import * 
x = symbols("x") 
k = symbols("k") 
m = symbols("m") 
y = Function("y") 
ode = Eq(Derivative(y(x), (x, 2)) - m*sqrt(Derivative(y(x), x)**2 + 1)/k,0) 
ics = {} 
dsolve(ode,func=y(x),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