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20095ee102_1_EE102_HW2_solutions

# 20095ee102_1_EE102_HW2_solutions - EE H c ^Fr5 v(t = f P#2...

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0 4T+ "&) c f v(e) KVL ""t s'\vlr.3 thc ol,11"r""trcl lralion , .. j& -L*e l.= J- - Usin3 -fri3- tJe,n*;! , ,,r(g) : ("", ( tLoTc"))' = | + r", (ztotc+\ L P tTJiT u(€) i,.to ,(L.) we y-t .r(e) =-e-Ltr(o) + k f "-rrr-,, f t ,*,*(ztoosill, )- LE*- J o+ vG) = "-k+ nb) + t 1 "-k(+-,)t, + +irrr'-,).," (zn{r) e: Ter^I. Ter*, 1I. 1€ Ti",^T.: Lf "-rt -') J, =Lo*1"*t, =*r-rr(#-i) =t_tr-or k,*) oo Te.^ [L. ' A.se €ri3o^o,*e(ric idcn{r}7 '- co'(ue1'\ = e;zrc+t +e-;LF.{.t -e +iur(t-,).o, (LTrt) ), = L ("-ntr') | ry r "'ry1a, 2! z) L-, z J L, r b<^:17Tt, ' -_ y5try * "r'=,,orlrs=*#+l#:_* rry_+l o' L z J 2 n It"-'rr,p k+izrrf 'k-ifftg t-i2rfj EE 1OL H oHE WIRK #2 SoLq f lo^Jj k7looo ,l^a C = lo-6 F*Jt o/,\o v(o)= 5 v&s to lg los E,€. - ^Fr5'", v(t) = --kt ,. r , t -k(r -s) , e v to) r O J" '.- -'u(s) ds / (,r) ,i,r=, Ib -?oJ. l- Con{i,r.^eJ, . .

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-k+ (r.- i z16) J* .i2re1* - ( r -:znf) *G *i LTr+)uL! .-'m\$ - ( L+i rrcp) =t" k " r t+fCLqL : U e-Onf +l (k- i zrc 1) ev+ ";zrcgL - Lk + ( t +i LTc+) "tz*.-i2Tc71 k 4 (1"+ +rc?) lr(t""+urc"1) iLtcl+ L ro5 12rc1+) F,ernonloe" i der" 1;17 : sin Qqa) L" + 47t"f. - L,/."-kL *0* izrc4) e r r-''ut*) -iztep\ e t- [, -,*r1 (e,27c++ - zi"-v' + 2rc{ ;Nr+4 -izTc+ g ' -Q I 2 sin (ue I t) ;2rcp4, _ "-iztrpt -=e Li kr [(r."*r-zr]") t Lk 'os (trc 4) - Lu"-'L * 4trt si',' ('"t-l Uci,3 ide^-ti-|-7 i 4 sint +bcos t = /G sin (t+Q)r-" yt -.g lrA ri^(zrct+-Q) -ke-'f ,*L z(b"+tn'1) L' t \ I J I =#sin(rc(.o) fu"-o'
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20095ee102_1_EE102_HW2_solutions - EE H c ^Fr5 v(t = f P#2...

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