(a) solve the boundary calue proßlem (1)-(3) for a string of unit length, sabject to the given conditions. (b) Ilisstrate the motion of the string by plotting a partial sum of your serirs solution at various values of t. To deeide hou many terms to include in your partial sum, compare the gruph at t=0 and the gruph of f(x). The gruphs shosld match when you have enough terms in your partial sum. 1. f(x)=.05sinπx,g(x)=0,c= 1/π