Daa 4 0 0 0 0 0 
a) Be 
a, — 1 0 0 0 0 
m 
36, 65 
a, yt ed On: Dyer 0 
m m 
36, 66 
== od = a reg aay 
m m 
36, 36 
Ort Oe ae ees oop. 
m 3 
6b 
POE bon Ux eek 
m 3 
ER SN RIA AS 
or 
12b,—2m ‘ , 
B=-a4, cad Say yo EE (46,° + 6, 5, — Bb.b0) | 
2 
Re (bom + 66,7? — 95,3) 
2 
=i ean (b,m — 3b,6,) 
2 
oe (bam — 2b,b, — bb) 
2 
a (bm — 3b,b,) 
2 
5 (bam + 6b, — 9555,) 
12b,—2m 
rk en 
«| Lea ear ay 
(45,?-+ b,6,2— Bhsbd) | 
With these values the differential of Riccati takes the form 
3 Se 3 8 
= — — a — — ——— 5 5 pe e 5 
He Sate + ye Sots (19) 
and the same reasoning as before shows that if the necessary condi- 
tions are satisfied the substitution which reduces the given differen- 
tial equation (14) to the equation (19) may be inferred from 
y + Moy? + ey + Wo =O. 
Substituting the values (17) we conclude finally that 
