~ ?yvD ?Dy
?
1?
L?Z? ?
a=¨
è"

QL?Z?
Baà
Q￥? ?
è
!μB?T/+B×t, ?T
Pt8 μB?
S
0
0
≠v,t8L ? 7
üê?,i
üê?
?íT
/??,
k ??t8￥??
p )(txx =,
3
s ?s;.1 cxf?=ˉ ?;.2
dt
dx
R μ?=E ?
x
x
o
,maF =Q,
2
2
dt
dx
cx
dt
xd
m μ=∴
02
2
2
2
=++ xk
dt
dx
n
dt
xd
t81???￥±sZ?
,sin ptHF = ?
s? #°? ? ?
pthxk
dt
dx
n
dt
xd
sin2
2
2
2
=++
<
??￥Z?
t
LC
E
u
dt
du
dt
ud
Lc
m
c
cc
ωωβ sin2
2
0
2
2
=++
1 óè
^￥??Z?
=¨L?±sZ?
)()()(
2
2
xfyxQ
dx
dy
xP
dx
yd
=++
H? 0)( =xf
=¨L?
Q±sZ?
H? 0)( ≠xf
=¨L?d
Q±sZ?
n¨L?±sZ?
).()()()(
1
)1(
1
)(
xfyxPyxPyxPy
nn
nn
=+
′
+++
L
=aL?±sZ?￥3￥2
=¨
QZ?3￥2
? ?  ?Tf
)(
1
xy D )(
2
xy
^Z? 
￥
?
3
*

2211
yCyCy += 9
^ 
￥3
21
,CC
^è

ù5
B?
^Y3
$
2211
yCyCy +=
)1(0)()( =+
′
+
′′
yxQyxPy
?l
!
n
yyy,,,
21
L 1?l uW I
=￥ n?
f
 ?Ti n?? ?1
,￥è

P¤? x
? uW
=μ?
T? ?
 0
2211
=+++
nn
ykykyk L 
*
1?? n?f
 uW I
= L?M1 ?5
? L?í1
è ?
xx
22
sin,cos1
xxx
eee
2
,

L?í1
L?M1
H? ),( ∞+?∞∈x
+Y1,
? I
μ è
≠
)(
)(
2
1
xy
xy
5f
)(
1
xy D )(
2
xy  I
 L?í1,
? ? ?T )(
1
xy D )(
2
xy
^Z? 
￥
?L
?í1￥+3

*
1
2211
yCyCy += ü
^Z? 
￥Y3
è ?
,0=+
′′
yy
,sin,cos
21
xyxy ==
,tan
1
2
è
O ≠= x
y
y
.sincos
21
xCxCy +=
=¨d
QL?Z?￥3￥2
? ? 
!
*
y
^=¨d
QL?Z?
)2()()()( xfyxQyxPy =+
′
+
′′

￥B?+3
 Y
^D 
?￥
QZ? 
￥Y3
*
1
*
yYy +=
^=¨d
QL?±sZ? 
￥Y
3
? ? 
!d
QZ? 
￥·
)(xf
^+?f
-
 ? )()()()(
21
xfxfyxQyxPy +=+
′
+
′′

7
*
1
y D
*
2
y sY
^Z?

 )()()(
1
xfyxQyxPy =+
′
+
′′

 )()()(
2
xfyxQyxPy =+
′
+
′′

￥+3

*
1
*
2
*
1
yy + ü
^eZ?￥+3
3￥?Fe ?
? ? 
!
21
iyyy +=
^Z?
)()()()(
21
xifxfyxQyxPy +=+
′
+
′′


? )(),(),(),(
21
xfxfxQxP (1
Lf

￥35
1
y D
2
y sY
^Z?
 )()()(
1
xfyxQyxPy =+
′
+
′′

 )()()(
2
xfyxQyxPy =+
′
+
′′

￥3
?  n¨L?±sZ?μ ?
2

?a=¨è"

QL?Z?
)(
1
)1(
1
)(
xfyPyPyPy
nn
nn
=+
′
+++
L
n¨è"
L?±sZ?￥S?
T
0=+
′
+
′′
qyypy
=¨è"

QL?Z?￥S?
T
)(xfqyypy =+
′
+
′′
=¨è"
d
QL?Z?￥S?
T
1a?l
2a=¨è"

QL?Z?3E
+?Z?E
,
rx
ey =
! | } ?[
Z?,¤
0)(
2
=++
rx
eqprr,0≠
rx
eQ
#μ 0
2
=++ qprr
+?Z?
,
2
4
2
2,1
qpp
r
±?
=
+??
0=+
′
+
′′
qyypy
aμ
??M?￥
L?
,
2
4
2
1
qpp
r
+?
=,
2
4
2
2
qpp
r

=
,
1
1
xr
ey =,
2
2
xr
ey =
?L?í1￥+3
¤
QZ?￥Y31;
21
21
xrxr
eCeCy +=
)0( >?
+??1
aμ
?M?￥
L?
,
1
1
xr
ey =
,
2
21
p
rr?==
)0( =?
B+31
¤
QZ?￥Y31;)(
1
21
xr
exCCy +=
} ?eZ?ie|
222
yyy
′′′
,0)()2(
1
2
11
=+++
′
++
′′
uqprrupru
,0=
′′
u?
,)( xxu = |
,
1
2
xr
xey =5
,)(
1
2
xr
exuy =
!
6B+31
+??1
aμB
aˉ?
,
1
βα ir +=
,
2
βα ir?=
,
)(
1
xi
ey
βα+
=
,
)(
2
xi
ey
βα?
=
)0( <?
×?F
)(
2
1
211
yyy +=,cos xe
x
β
α
=
)(
2
1
212
yy
i
y?=
,sin xe
x
β
α
=
¤
QZ?￥Y31
).sincos(
21
xCxCey
x
β+β=
α
+??1
?l ?è"

QL?Z?￥+?Z?￥?
?? Y3￥ZE?1 +?Z?E 
.044 ￥Y3 pZ? =+
′
+
′′
yyy
3 +?Z?1
,044
2
=++ rr
3¤
,2
21
== rr
#
pY31
.)(
2
21
x
exCCy
+=
è
.052 ￥Y3 pZ? =+
′
+
′′
yyy
3 +?Z?1
,052
2
=++ rr
3¤
,21
21
ir ±?=

#
pY31
).2sin2cos(
21
xCxCey
x
+=
è
1a n¨è"

QL?Z?3E
0
1
)1(
1
)(
=+
′
+++
yPyPyPy
nn
nn
L
+?Z?1
0
1
1
1
=++++
nn
nn
PrPrPr L
+?Z?￥? Y3?￥?[
rk×? ?
^
rxk
k
exCxCC )(
1
110
+++ L
β±α j
k
ˉ?
×
a ?
^
xk
k
k
k
exxDxDD
xxCxCC
α?
β++++
β+++
]sin)(
cos)[(
1
110
1
110
L
L
?i
nQ}
Z?μ n??,7+?Z?￥
B?
???"Y3?￥B[, O
B[òB?
?iè
,
nn
yCyCyCy +++= L
2211
+??1
,,,1
54321
irrirrr?====?=
#
pY31
.sin)(cos)(
54321
xxCCxxCCeCy
x
++++=
3
,0122
2345
=+++++ rrrrr
+?Z?1
,0)1)(1(
22
=++ rr
.022
)3()4()5(
￥Y3
pZ?
=+
′
+
′′
+++ yyyyyy
è
?al2
?1
= ? L?Z?3￥2
L?M1DL?í1
=¨è"

Q±sZ? pY3￥B???

1M?￥+?Z? ;

2 p+?? ;

3? +??￥?] f ?,¤?M?￥Y3,
(n/V )
0
2
=++ qprr
0=+
′
+
′′
qyypy
+??￥ f ? Y3￥Vr
T
L?
21
rr ≠
L?
21
rr =
ˉ?
βα ir ±=
2,1
xrxr
eCeCy
21
21
+=
xr
exCCy
2
)(
21
+=
)sincos(
21
xCxCey
x
ββ
α
+=
± I5
p±sZ? ￥Y3,
( ) yyyyy ln
2
2
=
′
′′
± I53s
,0≠yQ
( )
,ln
2
2
y
y
yyy
=
′
′′
∴
,ln y
y
y
=
′
′
(),ln
y
y
y
x
′
=
′
Q
(),lnln yy =
″
∴
7
yz ln=
5,0=?
′′
zz
+??
1±=λ
Y3
xx
eCeCz
+=
21
.ln
21
xx
eCeCy
+=∴
Ba ￡
2
1
x
ey = #
2
2
x
xey = ?
^Z?
0)24(4
2
=?+
′
′′
yxyxy ￥3
i?Z?￥Y
3
=a ￡
ü/
f
^M?￥±sZ?￥Y3
a ),(ln
21
2
2
2
1
^ ?iè
ccxxcxcy +=
^Z?
 043
2
=+
′
′′
yyxyx ￥Y3
a ),(
2
)(
1
2121
^ ?iè
cc
e
ecec
x
y
x
xx
++=
^
Z?
x
exyyyx =?
′
+
′′
2 ￥Y3
5B
?aX?
x
exy =)(
1
^
QL?Z?
02)12()12( =+
′
+?
′′
yyxyx ￥B?3
pNZ?
￥Y3
1aX?
QL?Z? 0
2
=+
′
′′
yyxyx ￥Y31
xxcxcxY ln)(
21
+=
pd
QL?Z?
xyyxyx =+
′
′′
2
￥Y3
5Bs?
Ba
2
)(
21
x
exCCy += 
?a )12(
21
++= xCeCy
x

1a
2
21
)(ln
2
1
ln xxxxCxCy ++= 
Ba p/
±sZ?￥Y3
a 04 =
′
′′
yy  a 025204
2
2
=+? x
dt
dx
dt
xd

a 0136 =+
′
+
′′
yyy  a 0365
)4(
=?
′′
+ yyy 
=a/
±sZ?
@
ó
SHq￥+3
a 0,2,044
00
=
′
==+
′
+
′′
== xx
yyyyy 
a 3,0,0134
00
=
′
==+
′
′′
== xx
yyyyy 
?a pTB?=¨è"

QL?±sZ?
P
3,2,,1 +
xxx
eee ?
^
￥3
1a
!????c
°?1 m5.0
#°b
￡?
?
_/aal ?b 7
?c
￡?
/??￥
s2?
ù1
p?c￥é

5=
5=s?
Baa
x
eCCy
4
21
+=  a
t
etCCx
2
5
21
)( += 
a )2sin2cos(
21
3
xCxCey
x
+=

a xCxCeCeCy
xx
3sin3cos
43
2
2
2
1
+++=

=aa )2(
2
xey
x
+=
 a xey
x
3sin
2
= 
?a 0=
′
′′
yy  4
U 1
?
x
e,1 L?í1￥3
1a 195=M LH