Properties of the Solution (Continued) 
4n*x 2mt_ 4a%t2x 
Aa 
Arg S(n) = Jo Stebel gam iil Mat: Mize gt 
1\6a04%x2 
1+ 
g 
eat) a AS 2 
of At res 
* AED) 
u : 4o*T tx 
(1 ee 
8 f (x,t) Af a +27 
@ x i OIE KED © L* 
Eee oT 
iS Ac SAAD eR EG Sie Se pataeNes |: T? o2D 
| gt la g 7 O12 
t, = ar 2. te 
xX = x, + x! 
2 
gT? (fp ee | 
L* 27 g*D g2D 
ee IGoFxxX'\2 gg 4/ 4x’ \2 T2602 
( g*D Be | g 272D 
of 9 f -2 7 27 
df =. —dt —dx = —drt — dx =-0O 
; tr ax x = + . 
Chae c* = i 
dt 1) 
Another form of the Cauchy Poisson wave 
Agee TAS, 
bs git? . gt 
t = — =: {cos —— Sin) 
7 (x,t) 5 ag oF a 
is -1 402x | 
+ a tan ogi =ft(xt) (4.24) 
(4.25) 
(4.26) 
(4.27) 
(4.28) 
(4.29) 
(4.30) 
(4.31) 
(4.32) 
(4.33) 
problem 
(4.34) 
(4.35) 
