The following results from a force balance for a beam with uniform loading. where Convert this differential equation into a set of simultaneous algebraic equations using a centered$-$difference approximation to the second derivative. Develop a function called YourLastName$\_$BeamCalc function to solve these equations over the domain that returns the deflections and distances. The arguments to the function should be E$,$ I, w$,,,$ L$,$ and n$,$ where Write a script that invokes the function and plots y versus x$.$ Test your script with the following parameter values: $,,,,,$ and $.$