0355 2 + 2045/1 + /344
11,3 (314 + 56 ),2 + (/325 + 46)1
11,4 203163 + (2312 + /66 )2
2/26/ + /22
Now the integration of the sixth order is separated into six equations of the
first order.
Assuming that all the roots(pk) are distinct, then
D1F' = 2,
(A.: .)
for the equation to satisfy,
D606 = 0
(A.37)
The general integral is equal to an arbitrary function of the argument x + p6Y
and is denoted by f6(x + P6Y).
Q6 f(x+ 6y)
(A.38)
Therefore,
d55 f(x + p6y)
(A.39)
Integrating the above equation, we get
f"' (X + P6Y)
Q5 f'( + sy) + (x + 6
16 15
(A.40)
04, 03, 02 and F' can be defined in the same way.
where,
12
13
14
(A.35)