3.2 Finite Difference Method for ODEs You are required to implement a MATLAB/ Octave function or Python definition to solve ODEs using finite difference method. If you use MATLAB/OctaveThe, the function should have the following declaration: function [x, u] = fdode( a, b, n, f, alpha, beta ) And for Python: def fdode( a, b, n, f, alpha, beta ): ... Where a and b are the extrema, n is the number of sub-intervals, f is the function on the RHS, alpha and beta are the left and right boundary condition values, respectively.

3.2.1 Verification Use the function/definition you developed for solving ODEs using Finite difference method to solve the following problem. A cable of negligible weight is put across the tops of the two pylons of 50 m at positions 0 m and 60 m. Five weights of 1.5 kg are attached to the wire at 10 m apart. Subdividing the interval [0, 60] into 6 subintervals, compute the shape of the wire under the action of gravity using the model 5 3 u 00(x) = f (x) where u is the displacement of the cable.