Math 220 Quiz 11 Spring 2015 Name: Put all work on this sheet in the space provided below and show details for your solution and attach additional pages if necessary. You must hand in this rst page. You may use your own notes but not somebody else's notes. Do your own quiz and not somebody else's. Date due: Friday May 1, 2015 1. Solve the vibrating string problem governed by the nonhomogeneous initial-boundary value problem @ 2u @ 2u (x, t) = (x, t) + x cos t, 0 < x < , t > 0. @t2 @x2 u(0, t) = 0, u(, t) = 0, t > 0. u(x, 0) = 0, 0 x . @u (x, 0) = 3 sin 4x 5 sin 6x, @t (1) (2) (3) 0 x . (4)