B osh lan g‘ich sh a rtla r x = x 0,
V = x0
boM gan h o ld a g i h a ra k a tn i
te k s h iris h
u c h u n (69.3) differensial
ten g lam an in g
u m u m iy yech im in i quyidagi k o ‘rinishda
yozam iz:
x = С\ sin
kt + C2 cos
kt
+
P°
s in (p t + 8).
(69.14)
k 2- P2
(69.14) dan vaqt b o ‘yicha
hosila ola-
p / k
137-rasm.
miz:
x =
C ,k c o s k t - C7k s in k t +
P
op
k
2- P2
c o s(/tf +
8 ).
(69.15)
M o dd iy n u q ta h a ra k a tin in g boshlangM ch s h a rtla rin i (69.14) va
(69.15) ga q o ‘ysak:
C2 + , 2
2
к - p
sin
8 , x0 = С,
к +
P()P
k
2 - P2
cos
8
(69.16)
hosil boMadi.
(69.16) dan
sin
8
kelib chiqadi. D em ak, (69.14) quyidagicha yoziladi:
x =
x n cos kt + -^-sin
kt
„
0 „ (s in 8 cos&/ + — c o s S s in
kt) +
