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Resolução da lista de eiluações diferenciais 1. x'fi-v=o àlny=$+c r 2. )cdy - ydx - 3xad,x ) y = xa + Cx _:r ,;i;. 3. xdy -:vdx : çx4 + x2yz)d.x ) arctantLr: t * C 4. dy * 3ydx : e-udr ) ye3'dx : et + C 5i' xily -3ì,ydtí: (4xs - xz)fu ) y = 4x3lnx + x2 + Cxs 6. dy - Aydx = xze4'dx ) 3y : 7s3s4x + Ce4x 7. icdy-Syd.x=(x6++x)d.x) y=x6- x+ Cxs o 8. (1+ xz)dy *Zxydx = 3x2dx ) y(L + x2) : x3 + C I e. *,H*Zxy = xa - T +q-a-+*pr+-c 5 ï ÏP= t'- 75f + EDO's com valores iniciais dados L. T-gy= e2x, paray=2quandox=0 ) y:ez'(-L*3ex) bdx 2. H: o.r-ycotg x, pw'oy:f, qnorraox =ï ) y senx = x +n I 3. 3x2y3dx - rydl : O, Pm1y :* -LW x: -Z) 3x2y - LW +2 = O 4. xdy -ldx = xsdx, paray=lqg4ndox=1,- * 4y = xs +3x 5. fi-l= esx, paray=-3quandox=a + +y=ssx-13ex c v sú&r a K, l^.-.-,r... ,tF+ [*t-Jg ì(a f -Z = /r'drJ_ z) rcd! - yfu: ãrqJK- rcdy_ _/dr: .lw!r1dr ^t#i,%q_yt*íFj =-a6 Tlt *Ydrc = Srdra * C(É)= 7r'Jr ' /' il-p)/sr*rc -4 * = &'n c { -L-'2x"/r-r = /r 4= f '+{r W q--/d" = (t+rflt, rQ -Idr=-Éh'ïs1/dr i.ì EI dz rtdaw,W,!f*fl '' i I t./ it ::.'" ' .ú-/, r7'yt vr vwu lrc + ln /a"b'! l= /"/r ,/- {arcbn!-) = K"' / o /''- - í/=/ /t 6n I n/ r :--\ ft;=ïJr ( jrry /ndÍ./ qF- {, vet l(áidi,/*Jtl ,4o^ gu* b* Çue {/M=ezdt li ì"/,i=-at llWr+ Z 5) rCy * ãfd?dr: ftrT')'ln rcdg - afun--rfte'-*)'/n '/-) . - *l*P - /\ts lrr/ dil* ëdre = {42!7)/z"l Ku &ffi è ph, -*dr i Q/k)- gt-zr)*;fr1=-flr{4 W *zl t -7' lcre/t'/ -3 .4 J'{ F 4 /no, rJ -€ 2 * Pf \ \ l) &3 7a{-: w/. '-u/ - -..-----' ./-r\,/ ,/4///,/{ //*'fury' ''4*f le :/rr'n4')u E E '?râ á/0 +) r! - sydr: (76*4r)Jzr fudr- f,kldez /r4 íldr - (zt* +)'1n ú -, dr= re'ntolu ftl)= -4r -4p /" = /r-dr / _. rf //r)= -4/r i 4/,), É"1'/* ; /e -íE 7: F'+C:' &L !rr, i dlr)- úç/ ,.rf*)= /ut' rc! ú" l(il, I _í d; ft X( I /d" p/, , +) , /E4, ,(í + !u^ 1/fr 4' + Crí -r7r.T d3i{./= Ç: r'e3;TràJ q=ï3e ní &4' à; t *(t ^4,r ', *-ç //'+ tlr = lft-J /,J */r-{ F t ,e- I + er{ W {r* 4Á! + úrl dtr, s 3r2/r- 4/ #//":ffiln Pt/' & lr i dlL g i #il' 1r /r'l, 'r / 62 (rf) !eh't"l /p) /'ú+r)r') 1/t,1-/P,1/Çrr'/- r_ 4ú,r)/ ú.') g a!/rrv') is"t" @ rlq! + lry = ,a-7dt / i-.),tt *r4 + 2x j/u =(rc_ '7'-r '- M d/* + y'lr- Ug '/nzt ,x' P/r) . Iro,'q/^)'ry @ úx 7 kil- 'lw x ,r^ yn'rt/WbTt Yrt/Pr"/r- ^.,, \ , Z .,5 In 4C (tt: ' / tr' \ , z ^,J e (.t) uyr,"/Ú'-+)'tt 4) /ri { }x 4 4 lJ,^' j{r*f) =r'rC ,{õ z rL J-fr fC0/{ F ) d ! Pnu *@77'4 çPZt(*t:áo dy * 3!=on* dt q Sgdr =.trd, tlhae, tN/C/k- Fro -/=2 7uaryfu , -,5 f1r1;fldr,' ; I ->$-,&.- C l<4. 4*- ?'(4'' C (1r)= ír, \ì hr* -).6 _o2'e = e f {./ = -/ t' C J-= C e-ffi ye 1 q ut-J 3a _x =- e +3 e*: çè,./*b- F'q tn /ouz I ^)/ Q'4í4 de'd"') / 6 *5x - Xe = Õe +C T: - e2*+ s*3*J^J W=Fytrdr - y 4* Pr?.f'? fuaade x=E q= fK zdu --r o'frt& dY + / c'ftzdt= /ÜEr' d% í uu6 pú/ */r ; Q7r)=/erilr ,'"Úl*-/o /rt,'/o( W y nn r'uYr !fu' 4 u/' tur !* -y /t f =/& t) /ytr r- dr 4 a'7r7ê aw r'"*r y ,nrz{=- /*.kní )t+ -lo'n= /d" Sob@ &*"(' otutany'o K =T +c. q {=Tí ,y". lV/] T' Tz2'- ,b, /- r í c ,',7 2 /n{= f r C 7ãrn{7Lfrf 'J ^/ + 0o2" cfi7a--/'*'7^=v bàa4 Á Go'Iud' gç'9 tutafui y-?r flo r-\ -t N dt=!7dr - ry ú=o pra ls -1 Vlo r=-2 3r3s/r ry* --P 2//JfdL- ry -: o _rt Srdr =-úg rn( ú s ìzdrc /' f,= -2 ..-/:-/, n''6 /' 0 ferzrz Q,rn*+o _/ -/ -tZ '2 =JrÇ/ ,?- 5 /t =/ír/r 4F '/7/ -5('),'íc / = 3"/ +e2 /-6=( Ò= -5 hW '-/ - 31 -.5 ü4u_/e - 2- 5o? - 10J tu{ -J _r '3-=I - /oYt2:t, S/rça >-^-r.rt'* / ê/ r@-ylrc- e- r3/z í saázndafl'l.@:/e)%= ryd! -"/d, - fr) ídr trrc J- / Taaaíe r= 7 , t'' rcJ!-/dE= zc.7t)dt t''ï Ld,! - -/d, = T'.23 Jz T- .27 tr- , ' /r4-/"/zdú-), z3/r .-+fV/ -/ (r/ r el#ã- (*- J/- ,7 yuanú I = /'.C + ->I/ 1oço- / /\,/ í + r- 7 . eaTS'' ,/ /-J_C 4C-*v7 4y=4TT, /r7r r 3r W1- , t s V - -8-:f 'J=lrf\z- - 4!= ryi:z: !s dz - -/=€ tParq /'-J f/ã"d,í Í:o t/ - !dr= uttd' /-tnr%' /oL/a%n/, ?r* T-0, /rru J- -) -J,n = , -i-í -C a C:-fÌ4 @ é+ Vc:J!./ b'a/-x Çr.4/ ? ./{, -J/ raffi -3./= !-'/ rq C a vie<-X -,í Çx t2/e = /e -3 s77.LJ,7
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