I need this in matlab code and it explained out please

The following differential equation results from a force balance for a beam with a uniform loading, dr 2 2 where xdistance along the beam (m), y- deflection (m), L length (m), Emodulus of elasticity (N/m2), moment of inertia (m4), and w-uniform load (N/m). (a) Convert this differential equation to an equivalent system of simultaneous algebraic equations using a centereddifference approximation for the second derivative. (b) Develop a function to solve these equations from x O to L and return the resulting distances and deflections. The first line of your function should be function [x, y] = YourLastName-beam (E, I, w, yo, yL, L, dx) c) Develop a script that invokes this function and then plots the results. (d) Test your script for the following parameters: L = 3 m, x = 0.2 m, E-250 x 109 N/m2, 10-4 m4, w = 22,500 N/m, y(0) = 0, and y(3) = 0. 3 x The following differential equation results from a force balance for a beam with a uniform loading, dr 2 2 where xdistance along the beam (m), y- deflection (m), L length (m), Emodulus of elasticity (N/m2), moment of inertia (m4), and w-uniform load (N/m). (a) Convert this differential equation to an equivalent system of simultaneous algebraic equations using a centereddifference approximation for the second derivative. (b) Develop a function to solve these equations from x O to L and return the resulting distances and deflections. The first line of your function should be function [x, y] = YourLastName-beam (E, I, w, yo, yL, L, dx) c) Develop a script that invokes this function and then plots the results. (d) Test your script for the following parameters: L = 3 m, x = 0.2 m, E-250 x 109 N/m2, 10-4 m4, w = 22,500 N/m, y(0) = 0, and y(3) = 0. 3 x