Advanced Engineering Mathematics, 7th Edition

13.4 Wave Equation

INTRODUCTION

We are now in a position to solve the boundary-value problem (11) discussed in Section 13.2. The vertical displacement u(x, t) of a string of length L that is freely vibrating in the vertical plane shown in Figure 13.2.2(a) is determined from

(1)

(2)

(3)

Solution of the BVP

With the usual assumption that u