persamaan deferensial
Post on 11-Dec-2015
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,,No!l
..-. Date
th,
ln s*
z /r5r 25
=24
-l- -:i; ; ' l>- t -va\ln P".s,rn3an -{ac9 rnc6*^of h"b..r"9ot-l qoFam X, tr,roh.r Pur,l-
,\*' 7 4qr,' ,\ l.qrurqorua y', y" .,Y" . -- .{:b. _ ' ' '___. - , .J"b.
-_-.:\o
t1
v Coolrluz -/'= l+J i
\_z
\J -/= ex -t + y' = ea --.r 7' :, y +l l, rnernenuhi pf)
Y=Zd-\ --r yx=Zc\ .-" y,w -/ +| J Zoc,t <qn--\v
,lr1r?lhhoa ebs kn-.{*-t",raron \-tm.trr)
t &e yo'rLrr OnC<- [e*to99'' la"i turunon ?,6cv) ,{,gdsFdl id,d"lo
z
t, ' .. ,?Xq , 81 2J.'v h Oole,, 1 L'tr"! r.
B*lrU Urnrm t .l Yr
-
&,t) dt , Clr,:) = o' 4[on)
" + {Y* Bs-,b X
Pcn[ldesqian :
,
C,) Jx
faotobr ,
\ 4l t -r.lV * O.
Xn +ua eT\,-,
t. E"nluh .
(^ Cll - "[t(r)d, + SrG), 0-(v) 1, o -,_,= -drCr)= - d'C
d, fxl P. cr)
,-
X Ar + !{ 4* *o.\ df = - U,$.t.
[6j.,1, ln,x = lnc
- li (v 'x) -: l"1=-.
= C.
q. X (y.-rl J,r v ( x.l\ 4, =u - tlL ln (x'-i) - 1
C:latAt
?- ''[n,tr 'dn,l /':l - --.-- \- - -.l-^ 4 \-
iP'l = c(Y"l_=
x"._
ubht si
ax + zxj =Q.
tu-tva^
&-ul dr- t X 4u =e-X4x -uA* 1 )"4u ,o-XAX + X\dD rlilX =o,. *p .f,hosi ffa'
*\_,
\-.,
\;
u- wfu Y: t{
'" ui\y' - uU'yz.
ln I + U -- t"c'x
&L'I 0 - Cr Lv) ax + v) lrt4t + ,r.t r] -r0 .
.r) J* + 0 C', vd( -t ({x4v =e -
Cu) *0C.t)r-l Jr + v114\, *D'r-
;r-
ntr - ln,t.
-- udt + Ydv
[tcul + scu)v'] ax = -vxdJ
Fc,) + {cOv
No.
#4q +4t =ai=
r -Hl dt -r
f,rLo1' /=Y -, :l *V-X
{ VA* + Xdv ;9.t xAV =D'
dx t r'4\' ' eQ
U = Jnc -lnrv = lt'..
enlrrlr ,9epq1o.,
(z\ ett v) ,lr -- z*u . ' =. , \,__-.,
; -i. t -' :;4r---
( x'*il) as : LlrJ 4*.Cx"* ?1dg - zqy"lrr io.
S"Uol { r x".l *r = O. -J..
.:: l
.,| a--
,,;.-I
', \-;
Xi
"\-
t -r ) (c4, r ,.,ds) - f,.d., = 6Srl.r - d' Ju t uds + .ludA - { Ju -- a.Cs-s" -r) ,1" {(r *c") Ac.-- o -
-.Stdnr + rCr+s)4s =o.u Cr +s) 4s -; (*du
I + lns -ln u = /n"'g'
lnxL = lnc.
'r---/
.":'lnr + lnltv1.'
-X2
. L , lL. -: L t-j :. t} c . __
(an + f,:+ + a) drr + (.pl + qy * r) Jx
&s-aAx+tqu +r = ?dx dr -:t CE
ulo.' '.Aoa
qq- qq- L
U{du - u ari dO t4qI
= 4x+bt tc
U u-bJf +r) =o -)
Bx + rlt + z)drc + Lx -? +'3b= ).
U = 3!r + Ly +z "fu z Srl,\ -t C J,r. 3.1* + zd3,t = t-r + 3 *L d6' +' oll -'41 f;L[1drt,': zda - z4g
h+1'A,S:9cl"t.
Av = tsrlt ,+ aJ3 u = 8d& tzagd9 ? ,[x $4tt * gJr-e
"h:-44*/ = S ds
U& + Loauf + ,tAu - afdrl eQ.
&tc|,l";
pD l'l*toc1t'o
\f -- J'rJ(=U
--- - u d8 = gJ'-' +tldtr
-(t + J) dur + Lr--at\ Cs.f" + uda) = o.(lir)d" + z* -- o .
Ct+s+28 -asz)au +fzu-Zs.r)Jr =o.C J as - asir do-t u ez-ss'l Jc =o .
,{.t
t?, ty,
PT'\y, 9.rbl U=Pn*n"
AY'au-P& dan
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