a) Find u(x,t) from the wave equation, where length of string is L=1, c =l and the initial velocity is zero and the initial deflection is as follows. 1/4 1/4 3/4 -1/4 b) Find the temperature u(x,t) from the heat equation in a laterally insulated copper bar 80 cm long with c=1.158 cm/sec. If the initial temperature is represented by the below graph and the ends are kept at 0C. f(x) 1/2 y=x*2 + x 1/2 3/2 differential equation subject