Oscillations in Coupled Circuits. 31 



Similarly, 



!/2 (1/2 ~y-i)(y-2 -yd(y-2 - yd' 

 yz tv*— yi)b/3— y%)(y*—yi? 



?i = _^l±l2_+ 2/3) + G 2 > 



i/i (#4 -3/1X2/4 - 2/2X2/4 - 2/3) ' 



Inserting the values o£ y^ y 2 , y$, y±, and remembering that 

 'G2IQ1 = 2(^1 + ^2)? we fi n( l after reduction, 



B * - -2(1 + T { J + (T-T T } [2/3T + (T-r j A 2 -/T(T-r)l 



where X 2 = 6 { + 0. 2 — 



2/3T 

 T+T' 



In this reduction quantities of the order /3 2 /T 2 and 

 /3(#i + #2)/T 2 are neglected, these being, in all the cases 

 considered below, very small. 



In a similar manner Ave find 



■•- - 2(T+T0{4?'-HT-T')'} [2/3T+ Cr-T')A S +«T(T-T')], 

 B * = + 2(T+ TV)^V(T-lv)» } W' + (T-T')A 1 -^(T-T0] ) 

 B < = + 2(T + r)i4?V(T-m [^+(T-T')X 1 + ,T(T-r,] > 

 where A* = #i + $2 + m , rp« 



Also, again neglecting j3 2 /V and (0i + 2 ) 2 /T 2 we have 



y, P v 2/1 



1 !/ «x^+^ ' 



L__.^ *+£.)_<, 

 U-^ + *±i.) + .. 



