13 report diffrential equations ahmedawad
TRANSCRIPT
(-/,'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)