t_euler, T_euler = euler(cooling, 100, 0, 60, 2) t_rk4, T_rk4 = rk4(cooling, 100, 0, 60, 2)
print(f"Temp after 60s (Euler): T_euler[-1]:.2f°C") print(f"Temp after 60s (RK4): T_rk4[-1]:.2f°C") Problem: Simply supported beam, uniformly distributed load ( w = 10 , \textkN/m ), length ( L = 5 , \textm ), ( EI = 20000 , \textkN·m^2 ). Find maximum deflection using numerical integration of the ODE: Numerical Methods In Engineering With Python 3 Solutions
def d_deflection(x): return 3 x**2 - 12 x + 11 t_euler, T_euler = euler(cooling, 100, 0, 60, 2)