SOLVE USING PYTHON.

Problem 1 Finite difference method - second order differential equation 200C 0 The thick cylinder conveys a fluid with a temperature of 0 C. At the same time the cylinder is immersed in a bath that is kept at 200C. The differential equation and the boundary conditions that govern steady-state heat conduction in the cylinder are dT 1dT dr2 T -a = 200 C r dr T1a/2 = 0 where T is the temperature. Determine the temperature profile through the thickness of the cylinder with the finite difference method, and compare it with the analytical solution T = 2001 In 0.5 Inr/a Hint: Choose a = 4 units instead of using a = 4, use a = 1 [