308 

 Therefore 



&• + P# 



. 2Kn 



Dr. J. Prescott on the 



f 1 m*x z m 8 x 7 i 



, , r ., mV mV I 



and 



dy 



dx 



dy _jj + 2K? 



1 "3" 



+ 



m°« ( 



4.5.7 4.5.8.9.11 



(41) 



+ 



i 



l+M 6 *- "5 +677T9 



The condition 



?/=0 when a? = 

 is satisfied by making 



2N _ 2Kn 

 P ~ 

 The condition 



(42) 



■«1. 



<fy_ 



-^ = when # = 



is satisfied by making H = 0. 



We have now satisfied all the conditions except those at 



iylI 

 the middle. K we write 5 tor y^- the remaining conditions, 



namely, 



16 



-7- =0 and ^=0 when x=M, 

 ax ax 



are equivalent to 



a x 



I 4 + 4.5.8 4.5.8.9.12 + 5 

 = -^ 2 { 3 -| + 67TT0- 6. 7. 10.11. U + '-}<&> 



and 



Cs s 2 s 3 ■) 



43 4.5.7 + 4.5.8.9.11 ""■.") 



