HW5Solution

HW5Solution - fi/afi}; 1 ‘ ’ L ’ —, '27F (o).—...

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Unformatted text preview: fi/afi}; 1 ‘ ’ L ’ —, '27F (o).— 9/0 ~ [tam/2W 22; :1 in, -> 79 m: egfléjfi—B ;; Hid stm g; [(3 £15” (Mafia "’L "4‘41" 5”) 3F 251/218,“; ZVzté’aj 6; Luefith—WBA—C' way/“€25 6% GK37£ZZI<3K4+2K3)€ZX + g -— 34% +84 36'” < V3)?“ ' >6” =€*Z* *3 21% -,i a “2 z ; w g... W o- A“- .H A.__‘~.,.._M,_...1 W...-.-.....m_w.w.‘,__-..,..,.¢.. _._ . ‘fl-..»....4._-- -«ym. “4.. KM-.._¢.~F.~_W~.~ .# A .. 4A<..__...W,,..~Ww.4..“flywmm "mg Wu“? x1 7#¥m 71,7, 77 W ,#{7,, W, 7 9/23/07 3:12 PM MATLAB Command Window 1 of l —___—_____________________________—___ >> A=[O 1;1 —2]; >> F=[-l;4]; >> K=A\F K: >> 2.21M M3: 6cm»? 3(0):! «(3:3 P0013: Uz gamm<m2iwlsn2t 6rd y;- A/jxé waif, + K, fishy)" y; 7 ’Q 153% 5/021 + K3 @2» +2/(yfc052: + L", s/‘nQJ‘ / “a: = ~Ll K; 7? mm- a K: Sm2/r 42113 SW; '4 £75921“? 4‘4” +24”; 1; + ‘7’ KL, \) away: +(1L/I7Q/i —Ll1/3§Sm22r ' +‘1 37* 00276 rL/Kyf'Smfi/f 3 EWZX age/022‘ w/Ic; 5,121: {6”2/ /(510 /(.('r g 5,921 1.145112)? +§fyhfi l/ 35%); ‘QK, Sir}?! +213, M21 rig/1‘4qu +519” 22‘ q 3(0): 3 : (2)9 , » ~ ‘ “(F 35%); 44221 H; 5min! +3?! 943*) ) 1i, , , , 7 ‘ ,, , 10/1/09 2:44 PM >> roots([l O 4]) ans 0 + 2.0000i 0 — 2.0000i >> A=[l O;O 2]; >> F=[l;3]; >> K=A\F K: 1.0000 1.5000 >> MATLAB Command Window Boat: wt, 3, 1 Wm: La 6 wze gab?» 5?; (q 6—12? Léfysz'” w 4m” r I ,u :7 A 8 e Z ‘33 “HZ 3 a» : -2K“: 1 14“: - 3&4! KMQLW Um: kfe‘sze'” 3b? a qu‘L/flg/zxa’flzgcm 5 3mm : .4 K an 413 +2 _9/23/07 3:29 PM MATLAB Command Window 1 of l >> p=[l 8 19 12]; >> roots(p) ans —4.0000 —3.0000 —1.0000 >> A=[l 1 l;-4 —3 -1;l6 9 1]; >> F=[l;—2;4]; >> K=A\F K: —O.3333 1.0000 0.3333 >> A mu” '9‘) D Mu I} b7(D+2) + D a"? +3? +52 ~8, .. <5; [Dan’sz "fll‘bfjs W1 + by M1 “>3. =3.» [MD—+233. ~le~ D35 D3, +~ (92+m'>g¢ gs 7. [ D/D+2)g,—D3-¢ : D5; (93%3D1+3b41 - $31 a; #351 + 25; + 23:. -= “j: * % +2535 :x/Dflz—P D 7"2) j; F07 91+ (D+2) (Dlrb'flx fl; ; (0*15‘j< ,10/2/07 8:43 AM MATLAB Command Window 1 of 1 >> r=[1 2]; >> s=[1 l 1]; >> conv(r,s) II ans >> Diva? 3]v + [ 4 *-: J 4:: i L, a (D1+ZD'€S§Y 3: [QM at 5 31*23.”Wj: 43$ 4. 3 5‘ I)? 313:] 10/1/09 3:02 PM MATLAB Command Window 1 of l >> syms D >> A=[—l 3;4 —l]; >> m=D*eye(2)—A m = [ D + 1, -3] [ -4, D + 1] >> det(m) ans = D‘2 + 2*D — 11 >> adj=det(m)*inv(m) adj = [ D + l, 3] [ 4, D + 1] >> r 3? fl . $60 3.1 . . 5 7g 0 a s “.00 : filial... 333111.. t , L. z ¢ (w m .w 7; \J “.6 V2: D. UJOO co igiwmnw Ira rII-II'L l .3 x.» . D « m \ In; . /\ aU|J ,..: 3 2 l . z . m an...“ a w? Pal-{Illin- aw ‘ A; a: 6 t V! ,1 . Final]... "3 a A, A... 22 WM .. I f a. Y D M + , D 7 -M; ..- - 7 )L 10/1/09 3:13 PM MATLAB Command Window 1 Of l % >> syms D >> A=[—2 2 5;3 —l 6;6 3 -.5]; >> m=D*eye(3)-A m = [ D + 2, —2, ~5] [ —3, D + 1, —6] [ -6, -3, D + 1/2] >> det (m) ans = D‘3 + (7*D‘2)/2 — (101*D)/2 — 185 >> factor(det(m)*inv(m)) ans = [ ((D + 5)*(2*D - 7))/2, 2*(D + 8), 5*D + 17] (3*(2*D + 25))/2, (2*D‘2 + 5*D - 58)/2, 3*(2*D + 9)] 3*(2*D + 5), 3*(D + 6), (D + 4)*(D — 1)] ' "l , ’3‘; >203“?!wa 7" ‘3’" D WWW ; 2 /3 23m 19 4g + 2x303 + :03 : éxloéflamvuanmu» 3(0): “ffxggfwg 5(a) : 3w #3" 10/1/09 3:29 PM MATLAB Command Window 1 of l >> f=dsolve(‘D2y+2e4*Dy+le8*y=6e6*(Heaviside(t)—Heaviside(t—.001))','Dy(0)=300‘,'y(0)=—K 45e—3') — 9/(200*exp(10000*t)) — (150*t)/eXp(lOOOO*t) — int(6000000*X*exp(10000*x)*Heaviside(X)K — 6000000*X*Heaviside(X — 1/1000)*exp(10000*X), X = 0..t)/eXp(lOOOO*t) — (t*intl (6000000*exp(10000*x)*(Heaviside(x — l/lOOO) — Heaviside(x)), X = 0..t))/exp(10000*t) >> pretty(f) 200 exp(10000 t) eXp(lOOOO t) t / | / 1 \ | 6000000 x eXp(lOOOO x) Heaviside(x) — 6000000 x Heaviside| x — ———— | exp(10000{ x) dx / \ 1000 / o 1 _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ ‘ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ . _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ __.( exp(10000 t) t / | / / l \ \ t I 6000000 eXp(10000 x) | Heavisidel X — ——-— | — Heaviside(x) I dx / \ \ 1000 / / 0 exp(10000 t) >> factor(f) ans ll —(3000O*t + 200*t*int(6000000*Heaviside(x — l/lOOO)*eXp(1000O*X) — 6000000*exp(10000*x)1 *Heaviside(x), X = 0..t) + 200*int(6000000*X*exp(10000*x)*Heaviside(x) —¢ 6000000*X*Heaviside(x — 1/1000)*exp(10000*x), X = 0..t) + 9)/(200*exp(10000*t)) >> #5 o! afi—IQZ‘; 7% J HI flow: —H' 3 jf3 V _ 7 u ,x 8, 7.84 “167g :- 5 (as {2*} 3.30 J 3"? ‘ O. '2 III M=“3“ J 4'” J 2.3! b. ...
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This note was uploaded on 10/25/2009 for the course BME 3100 taught by Professor Enderle, j during the Fall '08 term at UConn.

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HW5Solution - fi/afi}; 1 ‘ ’ L ’ —, '27F (o).—...

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