Rit (Vísindafélag Íslendinga) - 01.06.1946, Blaðsíða 34

34
From (61) we readily get approximate values
= 0 and y = 0.
x
For Ar = 3 then we have, if a= :
a
of x if
dy0
dx
x =
and for k = 4:
12 + 18u-h R
a
(62)
1 —
m
a
x =
12 + 16a + - R
a
5 a-----u
6
7 2
5 + 3«-----«
2
(62a)
1
and so on. If we omit the remainder term — R as vani-
a
shing the determination of x from (62) or (62a) is easily
performed by successive approximations, but owing to the
omission of the remainder the value thus obtained is only
an approximation. Of course (62a) gives a more accu-
rate result than (62).
( 1.79
For m =0 and a = 3.832 I get from (62) x = __j ^
| 1.651
while from (62a) x = ______-j ^3 • From Jahnke and Emde7)
1.688
I find x =
from (61a), if y0 = 0 and
1 427 • Analogous formulas may be obtained
dy
dx
0.