92 



a tedious process, and will not be indicated here. When performed, how- 

 ever, there results the two differential invariants 



01 = r2A3 A5-35A, Al-7 {A,-lAi}^J -^iA,)K 



?., = jA3{Ae-84A3A, + ^Ai}-12{A3-^A,A3|{A,-|-Al} 



+ 2§.fA,-AAil^l^A^ 

 where A^ = 3y'^ j'' — 4 (y^'0^ 



A3 ^ yV (y.')2 _ 15y/V y.// y^/ ^ 40 ^ y,, y, ^ 



o 



A, =3yv' (y-)3_24yv y-' (y//^3 ^eOy'- (y"']^ y" - - 40 y''')S 

 A5 = 9yv'^ (y'O' — 105y^' (J'')' j''' + 420 y^' (y''^^ (y'^j^ - 



700y^V,y///^3y// + m^^ly'^/^S^ 



Ac =27y^"^' (y^')5— 48 A,y^^' — 840A, (y'^'^^ _ 2240 A^ fy'^O' 



2240 ,,, B 



— 2800 A2 (y) ' — -3- ' y ^ • 



