A2 It was shown in lectures that the wave equation 8u 2u t 2 has general solution = c. 00 u(x, t)=sin n=1 NTI L u(0,t)= 0, u(L, t) = 0, an Cos nact L + b sin nact ). L Explicitly find the coefficients an and b, for the following initial value problems (a) u(x,0)= x(L-1), (1,0) = 0, (b) u(x,0)=0, (x,0) = x(L-x). du t