383 



In using the Hankel transform the boundary conditions that ^ vanish at 

 X = 00 and dy/^x vanish at x = have been used. 



Solving Eq, (?) for H and inverting the Laplace and Hankel 

 transforms, the solution is immediately obtained in the form 



Using the fact that 



/ + i«0 





** • kt 



a 



» = 



Eq. (lO) can be simplified to 



■ «o 



'0 







o 



The existence of a reduced pressure 



in addition to the initial impulse^ tp.ves a more general solution, 





(10) 



V-io ' ' "^ •" ' (n) 



(12) 



(13) 



(14) 



66 



