244 Chapter 3 The Wave Equation
Figure 6 Graphs ofh(t)andφ(q)for semi-infinite string with time-varying
boundary condition.
Figure 7 Graphs of u(x,t)versus xfor the semi-infinite string under the
time-varying boundary conditionu( 0 ,t)=h(t),withh(t)asshowninFig.6.The
shape seen in the last drawing will continue to travel to the right.