Chapter 12, PROBLEM SET 12.3 #13

Find u(x, t) for the string of length L = 1 and c^{2} = 1 when the initial velocity is zero and the initial deflection with small k (say, 0.01) is as follows. Sketch or graph u(x, t) as in Fig. 291 in the text.

2x - 4x^{2} if 0 x < 1/2, 0 if 1/2 < x < 1

PROBLEM SET 12.10:

PROBLEM SET 12.11:

PROBLEM SET 12.12:

PROBLEM SET 12.3:

PROBLEM SET 12.4:

PROBLEM SET 12.6:

PROBLEM SET 12.7:

PROBLEM SET 12.9: