show all work and assumptions! thanks for all your help!

Consider a string of length I stretched between two walls and subject to the initial conditions av v(x, 1 = 0) =0 (x, 1 =0) = a(x2 -x/) (1) at Answer the following questions: a. Determine the free response; . How does the free response change if the tension force in the string is doubled? C. Determine the free response if the string is also subject to an initial deflection v(x, t = () = h sin (nx/1)