(-/,'t : qt ,td \,/

AtL[x : X'\I

tl

3 L4brl' LA'

^I J ..-;-\J o)

i.-3'

I i/tK X' r'^,

Ir.,a u

K. :

g[r',, t L- o .Ltf,L ,_+J--

-li{-x-, d tiriil"*LL-*J - -,,

\ LU ->-:--e*jrn ( ryt$- = ?*o. = -si"Gr)*t1nlrr = n=V

s6u

14= t

Lt((,6) =.

d"

Zh -*'i (n ..,.(o5e) . B sin(T*,

( sin(+.-l

Ce s (rr (. ( ))

-,1( trin)r('n tr)

C=t( --I-rrc

/c = .rn-a -( -o o-u+( =P(

-Xlx] F -rrnU^)

E- ?<,t<, g' $rrE z-ata<>rr-

A 4 = L lx(lT- -, stn(r4 Cr-r,d

s + J xr "'"(}?*j -xz-sin(u)dxcj, n siI (l'J ; n-L4r : Yfi

JuM u

X coS ("^) *;3--f..q{ "t <

--*___\*=dta :;t^ "#- T=

a

\--4r-

ql.-v(

0L= 11A;=ii.h

tl_-d =q-1r (""\ *(<,srn (al_l

,

n

T-l- T" ( -q ''' ='tl

tI- - n-l----,

" _-\) -

-s--r n ( trr)- .lY -- -

T"-t -rJo +r

* = Cq5,(

nL \(", * )il

A, ?T-1 (-, in"* ,r. +(t - ,,, )ri-a*,+) iirt-,)^"' -, \ +

- \\- ai[0,^tl j k,('u1., ,

t"r tx , o!= .(-nl.,-J\r_ l_::xj 0

}(xI-= x(nl" rl-irr - =-- L:k T:a 6

u=*of{4

,\C, = --Z<rb C.* Tuna!t G<,x(rl = ,Z_:, C"_ S],a (r"{r)

=_b+ rn1(a-h

_k

fr-t;- nTL

!v-T-lt

.---e 4\t2Dr t ,nC i

Ldr .,=JT ):*t i,{-it* rt1\C t t

eo 5 (2, *oLY

alu i -c-a-\ {z tx l*/+-V e- sin(zpt l

L};i;;,\lu/"

srr{2-n il n{

1t- pL Tfn?

ttIx,r]oo--:)L-h-

, i- qn rc') ,

t ,:,, ^ + + , ,.,,_-- )g ,,,a{g r{lt\ rr g2 Tr1', l"

JLi

Lt(ort)I {r I :

X tx)(\_1

, , i .. , '\.,\ \ r' ;L J

.it1,.l i. ,t'.,.1 J

=ot(rr,t)Jin(r1

C-

s i,,r (: o7

o

zqrc

(=-n?{o

sin lnK)

n

r <[,^s u"fn.,<.let sea{

Ia-cc ng I c4

I

fu1 = 47T_L

-, _tt_-:nr_*TT

:a

- <*'' ll a

t{

Ll

:or1

2-)tarc4rsj

-_ q_a =!i

C. Sfa (r^l

= )- La rrta *l"t

- L' rn'

,'4^= [s,n (x)

e,*tl

Jo

fr_e-

-1Y

€

,] sin (, *7* + sl rt(=

Lt( x, t ) =

dle

n :.'\A€yt

-La mz {un (n x)

a

Z - -- _-l<-L-":f -=o

116: ^1 2q-(= - rvtn (. O

Cr =:-kr(esin (mx)

x(4=f ,Cz sin (r^)C. -* Ze,ra

__TAn=

a

Lul-

[,ttx,tJt .. {*qn.crj iI r r4tll 'l' ,:)" + + z (-r) Jg ,,,{t ,{,\ rr 62. 1T r1'. i" t

.I

7I

t ! .- l

! t t ri I r\1.1'

- i'"i,.:lrl i1i j i

.' i i ,', , \,-\ i lr. j

: | ,t i.,t I \ ,.).j

Jin(xl {

1.. ' ir,r- !,i

,IL-=Lt{o,t)

I (r I :t\\ , ['j

let!/r\

ot si4 (: o7

7rtt\A = o

K(tr= o

Zq{-\l

(=-n?{o

S 'trT (n K)

t-IXtxj =

C, : ? <"'t,c\-r

=€'1':-i

C-

C.- Sfa (.rxJ

nr e i'rs"."/n.r*c< seda-ccef t er/

ft) = 477L

-. _jl_-:rr__*TT

:{

-<tfi'

sin (a*) JK

i'l1T

t-- L' rn'

ravr- [s,n ( x)

= )- L7 rna J-t

fr €

,l+ + grt(=LIt-/Y )

o

Lt( x, t ) ld-\<.a

n -r\

-L' rnz LAPtt uyt

srn (in r)