Problem statement: Consider the one dimensional wave equation equation 11 dry = unt representing a vibrating string of length 21. Suppose the solution u(I, t) satisfies the initial conditions u(0, t) = 0, u(21, t) = 0, ut (x, 0) = 0, u(x, 0) = f(z) = 21 if 0 S I S 21/3 3(21 - 2)/(42) if 21 > 0.) X(0 ) : 0 2"= -XX T"+ 121 ) T = 0 save for A Q2. The general solution takes the form En, Casin (" ) cos (17"). Write an expression for the coefficients on in terms of f(x). You don't need to evaluate the integrals Cn = 2 21 21 ) dx