710 



Substituting ^ from Ub) also In equation (3') and eomnitlng operators, we have 



d t /z ..-4 47r at ' — --. -I- , -— 



a^^r^-z^r;'^ (u^i-(A*^,ry^\ 



Applying the inverse and noting that 



-r- M, 'iAJU 



/:L -T\, - e 



'H 

 obtain 



av^^;'^^ > ^ ^ 



4v 5?(<^ ^ e J 



Put 



CO 



-^AUilU 



Ztt C/nA -^A 



The real solution of this equation Is given by 



where ^^ is some time prior to the explosion and n ( 'K), (X{ Tt ) are arbitrary constants 

 of integration. Let the explosion take place at the time 6 = 0, For all times previous 

 to this instant $ ( A » 2 » "J^ ) » and consequently both n ( -« , ■^^ ) and fl (-fe ), murt 

 vanish. Therefore, 



