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W.'g '"/dt .- tJ:- üjì rudg d.g '-- '=!r*,. I d.yI-/Y H { / +:=.r-,1 / _yot & a 'dr = 5 c,dr í0 = 1r4re * -3 'd* ,&mbr"rilb W "---"Fffi--ydtr: ãrcqdn l-é u 4 &<- "rcdy - -ydr= *l'n! rldr a1;1 =#Kz *,ffi rcú/ -/dE r' d#)= 5{Jr' lor Kt* C 'o J +cLn _/ = -Zx' J ,,, z //2y lrt ! = -/ r Cr' tt/= f '+ {rz \\.T'r^ It /v) ' [sr?rcJ t'7/ _/^ ___ = J) . "4 - ydr = (rno rc"y/a, ./J rlg -Idr=ÉhïYldr o4*, frte. z rdy - *dr: ft,wTr-);* re@ - ãïdr--x&e")'/r' dy- ãylre fte?d& .t K' &ffi è Pú)= -C-dr i Qú rr //),_jlr{dk)- frrz{lrffi' /1//lr/, '-/,p Ê) -i=Vu/tt d -a ltt/i: //:uul, l.' t '.v-.1 ,_/ l& tp*Ç)W F=-r) í7dr + ly /l "'7(fr'Í' lf üu'"= /JJ \f *i /({: l(4vj -74 ./r{ 5 4 lnru rj --:-,f-\ 2 * Pf A r-1 Ç:r34:dràJ< = rb4í fnL" f, /l - 1f dr= rcrntodu //r)= -4/r i 4/4'É"ír/* 4, 'dt / (r{ /' x /. . / T, /rr, -{p ''4of le lr"'o4=)u-í'/r â /ê à/e .*},b-íE v: r'+C + er{ ,*C ,/n r ò;' í_ ,7 ^+í _6l -Çt/z /Ê +) reú - ryd": (r6n4r)J rd! Tdr= tkTòaz Ú- fldr = (r'* +)dn /ft|' - g''* i dlr)- ft'/ 7 "'?fqeh{5 I nr4 ehíJr+ !,J- - _/ a /r'/ r o:7rr 4/' 4) _/"f- +-r4 !'r W {r* 4d! * #ry dr, € 3r2/zq/ #Ílo_ffilr Pftl' & lr i dü'P i Jlil'1' í"1t Lrl 6t fu,r) ! e/' t"l /p) /r úrni x.r) I {t,|=/Êr,J/Fq',/ - ' "- (ú'r)/ ú.1 fu a jl /rr,1 is'zdr 1{tr,f) = t' r C @ rÍqh + lry = ra-Ldt ,/i l, rr4 , lx jlo =(re'- lcrt M dy* # !/'= U9 '/nzt ,r' F/r) - ?r(,' qú)'ry @ úx 7 '/m= /r 'r yn,, t /W (.9t y rt/P Y' rr'tt\/, \ r Z .'r In 1C ('*/Xr?C uy.,',/Ú'-+)'tr à) /ri { }x 4 t tJ q {^- ^T- J.f{ tC v) i PCu 5íg114 çP-tt?+t'to tr g e S!=un* Iqx ú Sydr = "Í*d, , X _-_^ê/ftF+ J:2, fdu U.fu.ae. tN/C{k- Fro !=2 Tuanlo Y=ú -a6 ftrpíar, (1r)" fh," ro) fu)r;nr. *iìi j lcy la1/á'1 e1';"*-=/.n t: /n'ídt / \ -3"o _ú2"e - e f /-7 = -/ r C J-= C afr ye t: e-K* j ,/ ./ 6 *54 * Xye = 'e +C =à 9-,<-k- Cg 7<4. 4*q P'o'{'' C t 3e3* ç.è'r1*ân F'q tto/ot Z Itt'ttQ'414 dedo, < e2*+ 3e3K --*ú^ r rJe") '9íPYllYryP 'r 2 i= rK rd{ -) *'!r/t cdY + Y c'Srdt= ldLn dr /,t/ã! + / - '/ A, t ^. hl*/o /rt o r{-rt on6 pú/, *4t r Qtil=erolr ; /' 4 Útrrco A'C ( = -/rr/í= /t' ! /'tt= ,) /vn:"6K ,lJ ?trí ,é / /; J- ,u,l x 3r",//t [= {1-4 , Z ./b .2 ,b,f -{ 4c _ftnt lr 4 sobçF €,'"4 -ãf yot'ty'o r= t ,Cr 4 [=Tf y rt, z'/- = 2 +^'::H-;ifr b,L44 lvtc.rryÁ y-? fla í-a taft{' f f t fu-"--t ;Ltrfí y't'n É / /t =/ír/r 4F -/T/ Q ua*+a f,= -2 . -/ =-/, <'n'6 J-5(')''íc -/2 r= q+e /-€:( ^- -5{_- /"p, -4 - 31 -'5 ü4 ''/' -/ e - 2- 7ru/ - /0iJ Pra ls -1 2/o r = -2 ,2)(F/ dt'!7dr - Ey ú=o 3r3;/r- ry* --c 2/Jrdr- ú *- o _rt3r/r,-ú -ãL( ú-*< ì'cdrc 4 /' /' .25 _/ _/ \ -</ Z ,-J7 /L ,J*=I _ /0Ír2_-o, 2.- @y -,/d, ^ rc,dr ,J! - gdç= re.'t)'Ut r@ - -/d' -- 11 13 /2, lhrr J/- / Taanln r= 7 z= .? .z- . ;,i.ç ,.: r j. I . f3/E , sánndo% ' *r*+_l '* x@-y/r z= :/e) e zr'$ '' /-J_C 4(--L/77 i -.,..' :ë, 7 4 -zv-D , Úr= r/r r 3r WL' - -t I I ôJí rQ-//u -* re- oé) 'rlr*+ trg/"lz : Sr/ Qteo/- a (*rt !:7 fuanú = /'*c + 1'r / J.: 7Efr? 4!= zÍ -Jrc rítu ,Ê :l nesoiuhda lista de equações 1. xtfr-v=o, ) Ìny = 4+ c ,êir{+ ,: ,1" 2. 'xÚ -ïfu:3x4.dx )Y : x+ + cx 3. *ay:ja*: (ti + xzyz)dx * qrctan!: f * .9 ,., .,.,*lr".l.t, ..,i - '-. .iìÈ;::: : - ""'::i-: :" ':r:ir-' -':'4:' " d1r + lydx,E u-2:I6* ). yesxdx = ex + C, qf',ãc+:., *_, 5. xdy*3yd.x=(4x3-x21dx* y=4x3lnx+ rcz+ Cx3 -,#1..d# : xze+rdx à 3y - x3e4x + ce4x ru =r-6_ x+ Cxs o 8. (r + xz)dy + zxyrìi9 g. *t#*Zxy = tca - 7 it :4 :a +rzs#r EDO's com valores iniciais dãdo5 1. H-tr: e2x, paray=2quando.r =0 ) y:"zxç-!*3ex) b z. H= ro* - ),co:tg. {,,,,.psray.={ *n@ * =ï * y senx = x * ït t 3. 3x2y3dx- xydy=A, pora!: -i'quandox= *2) 3x2y- 10y*2=0' 4. xdy-ydx-xsdx, paray=lquandox=L à 4y=xs+3x 5. g*-l= e,x, paray=-3quand.ox=0 ) 4y=e5'- 13ex ..-..1'': tÉ .'4 J -xé4> LlC : .// ru dz - !/r= eífdr /(r) = -/dr z ü/r) =n /- :tn76' /rL/G%n/, ?*, T-0, /ry -,/-a () Jua,lc 4-J,* = , - -/=€ Pdrq !'-J f* f:o *r//çl*, -Ê .1f '* '.. 'rnYí 8"/ Çrdl -J, rq6' -3"/-- !,/ r E C :Ë q Ní/ *3--/- =C =t C4 -x '/le = /e'o-gJ ./'(t7 a vie< Wr'gt/ dt s d=-C/', rudg - _ydro íüdr í0 = 1r4re * H lu=/*/y / _ "--è-e-ffi--ydtr: ãrqdm l-é u 4 &<- -3 'd* /tnbr"rilb W "rcdy - -ydr= *l'n! rldt a1;1 :#Kz *,ffi rcú/ -/dE r' dW)= 5{Jr' lor frt* C d.g 4 1--- .-T -UP il -2xt/n-/ = ,,, z //tr Ífr! = -/ r Cr' .! t(,/= f '+ {rz \\.T'r^ It /v) ' [srurcJ (7/ _/^ ___
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