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Math

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、
。
、
Σ
人
HWI
0
1
y
=
.d
2
.
e
.
π
cos
"
"
Sdy
( 8 Trxj
=
siu ( 8 π x }
ydr
6 dx
=
=
:
Iny
=
y
3
'
x
-
x
(
-
6
)
fx
ex
-
,
e
u sin
(
-
.
0
+
Sey
,
(
"
s
dx =(
”
dx
x
=
e
) )
π x
x
-
-6
)
5
e-
x
.☆
e
C
t
1
(
+
6
π
y
=
- 6x
+
(
$ in
:
=
8πx
)
e-
-
5
*
(
ec
.
+
37
x6
)
+
(
器幽
-
6
jo
etx
.
-
&
(
6 x+37 )
0
=
或
e
( x+
.
3y ) +
y
i
De
=
6
-
ox .
dx
+ 3n
3
+
c
|
y( )
o
4
gdy
如
=
司
dx
=
lee
xinx
=
lox
1n +
=
)
( 4 = lu2
s6
→
→
c
dor
我
y
-
,
= clux ,
y
u
'
dx
=
=
C
=
5 adu
la 40
-
=
1n
[ ( ax )
les6
→
atany
=55
C
=
1
ec
4
Y
s
.
y
'
=
xi
(1
ty "
)
Hydy
1
x
:
7 dx
→
8
+
c
y
=tan (
+ c
)
一《
HW
I
.
2
,
let da
U
:
.
ex
2
:
casy
e
dx
:
ODE
lee
w
-
:
.
f Mok
=
u
y o
For
(
y
so
.
ex
M
.
bet
P
C
+
N
2xsiny
,
:
-
zexsiny
=
exsiny
上" y )
5
=
k( y )
0
,
=
C
[
c
=
-
C
]
)
os ( π )
→
C
1
=
(☆ )
了 dx
wsinux
t
+kty )
=
'
0
-
:
asinux
t
t
usinwx
= F[ x
F
:Flx )
,
estdx
=
ex { aos wx
so
dh
lot
)
0
)
a
excosy
]
y
cos" (
acos
coswx
=
Loe
.
-
:
exdy
t
,
-
,
0
=
ex
N
M
:
0
zn
,
ex
-
exace
nol
:
cosy
-
wx
Oswx
=
tk (
-
)
=
Cos
let
M
,
siny
.
0
=
exacl
y
2
-
exsiny tk ' ( y
=
a
列
:
u
N
YCo)
0
:
,
en
cosy ,
The
exsiny dy
-
=
du
:
'( x ) =
k
t
ex ( coswxt
SIdy
:
=
t
R
=
成
.
ax
=
[
o
ex
-
-
)
-
ix
wsiuox ) odx
cwsinux 3
K)
-
(
e
Q
,
* as ux t
dx
yt
exdxI
t
t
dy
:
-
.
sinwx
_
ex 司
~
x
wsinhx )dx tdy
( coswxt
Kx ]
osinwx )
sm
器些
ex
O
=
EycosX
da
☆
0
dx
ExusinX
du
t
:
长
《
一
a
,
wsinwXw
,
ex . coswx
- oswx ) -
(
wcos
.
dx
ex -
artim
2
casox exdxI
-
.
.
-
t caswx
⑨
osin ux
'
.
= foswx
exdx
.
Saswx
x
e
-
coswx
.
-
e
'
dx
ex
,
≥
texdx
.
( 屯 sinwx . extf sinwx . exdx ]
-
-
.
.
:
Soos wxex
π ex
ta [ swx ex
sinwxet
wxex
ex
sinwx
-
-asiawx ex
= Ssinaxexox
-
dx
z
ω
8
-
wcosuxex
sintuxe
341
aswx
*
e
-
-
tr
,
=
y( )
o
.
( y
sin
am
:
let
R
x
-
F
=
xos Wx)
) dx
-
x
u
:
esidy
:
:
-
=
C
#
sim ( y
x
]
-
+
x
dy
) )
cos
Jetsin
)" ( y )
=
-
)
)
x
(
=
y
-
0
x)
1
=
eY
)
ef sin ly - x tdx
es( osly -
( y -x
=
;
x)
=
5
4
N sin ( y ≈
,
sin ( g
-
a eYcosly "
+
+
=
)
siniy xx (
lot du
- 1
→
-
C
=
Fly ]
=
FlY )
y
+
( cosly
t
-
;
1
= exos ( ω x )
)
cosly
]
ω
9代入
5
=
(
,y x
.
3
e
-
-
-
ω^+
i
"
( 1
.
:
x
σ
)t
)dx
eY
k
(
.
(
y
(
y )=
)
.
t
-
1
]
=
e
x
C
sinly - x )]
dy
.
cos
8
E sinly
-
)-
x
-
)
[y
=
-
x)
+
=
12 ly ]
eYcosty - x
)
exs
-
5
n(
f
-
x
)
+' ( y )
4
Y
'
p
9 y cot {
t
dot ( 3
=
"
S
=
'
( x + 13 y
+
lol
u
ω=
U
p
=
-
(1
2
-
xy
[x + 1
)
^
ulx )
U
=
;
y
n
.
U
=
'
( Sar
=
0
.
. y( x
i
-
代五
=
o
y( ]
,
'
y
=
=
*
[
e
+
*
ex
=
+
-
ex
(
,
C
→
1
3
x
)dx
cos (3 x
s
=
tC ) =
s
5m
3
3x
3 - ( sim3
u
x
]
4
+
(
simx
3
)
=
sjm 3
4
'
.
s dor
=
i
4
.
.
( sim
3x ]
x
+ ( CSE
4
4
=
)
2
2
yy "
2
=
Spdx
2
"+
12 s
6 ☆+ x
630
)
=
fzx
+ 2
dx
y
-
= 2x
t
)ex . (
tC
Cexixj
.
(x + 1
2
ex
2
-
=
^
2( x + 1
)
-
u
- 2
ex
2
=
e
(
3x
1
.
3
(
,
sin
dx
]
( 3x
ext dr =
0
≈
2
ox
125
]
=
h
e
-
'
-
= ax ,
e
-
*
c
| ulsin 3 x β
=
j
=
y
.
(x+ 1 )
ex
=
csc
" 3
,
e
4
y
ya
-
≈+
3
sin
Ʃ
12 cos ( 3x ]
=
sim 3x
f
.
3
a
=
)
a
-
2
-
y
=
9
=
+
×
| ulsim 3x 1
.
ehr
12
=
sin
sim 3
=
)
.(
)
(3 x
代入
5
=
x
33 dx
sjm
.
3
]
9
=
,
x]
3
.
: y (x
.
eh csc
,
3x
fpdx
=
3 xj
2 asBx )
[
cos
ed - fpcos{ 3
=
y (π )
y
,
3
sin
:
ylx )
.
12
=
h
e
5
x)
]
3x
e2
S
. 2
五
x+ x
( 1
+ C
5
:
(x
-
xdx
C
-
☆
]
[ 20
,
t
五
=
]
ex
=
=
63
c
)
'
+ 2x
-
=
Cetx
=
)
-
2
.
2x
e
x42x
+
e
.
ex
"
=
x
+
Cextzx
C
3x
]
3
HW
1
3
y
.
"
'
t
y
"
yssiay =
t
y
osytk =
y
=
.
λ,
4
=
λ
,
( λ+ 4) ( N
.
3
y
"
y.
-
-
y
y
:
i
'
-6
Y
ylo
:
-
df-
K
-
=
.
dx
-
Ca
,
siny
-
-
=
-
-
ky
siay
=
)
N
ex
4
exx
- Netx - 16
e
O
=
=
xdx
=
=
2
:
*
y
"
-
16
#
ylo )
,
=
0
+6
"
(
y' o
.
,
16 y
π
π+
,
:
=
e
x
以
'
16
=
y(
,
o
)
=
-
48 π
exx
=
=
λ
)
4
tbay
ut
i
"
i
,
( C
d
siny 0
t'
osy- k )
#
.
可以 .
x
-V
siny
ex
:
AyX
(
Cy t Ca-
.
y
0
=
dy
2
=
=
x
ee
∴
siny
"
)
Y
6π x
) exx
_π
:
=
: Ci
)
: P+
(
y
tC 2
- 48
=
= 16
=
0
84
.
eax
π
→
→ 16
8e
-
,
-48
=C
6x
#
-6
π
2
λ
π
.
=
+
Y
:
-6
8
π
6π
=
-6
π
C
.C
→
-
2
2
C
.
=
6
π
ebπ x
→
(
=
8
dy
xt
-
M
女
-
X
-
cosy
=
-
ky
t
-
C
M
X
-
siuy
-
=
osylk
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