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Persamaan Deferensial

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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
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Page 1: Persamaan Deferensial

,,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

Page 2: Persamaan Deferensial

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"._

Page 3: Persamaan Deferensial

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

Page 4: Persamaan Deferensial

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

"\-

Page 5: Persamaan Deferensial

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

Page 6: Persamaan Deferensial

. 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

Page 7: Persamaan Deferensial

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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