102_1_midterm_q2_soln

102_1_midterm_q2_soln - F Lry + cfw_? v(tl J+ I &quot;u(t)...

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F I "u(t) d+" T"Li, s"V() Lry + {? v(tl J+ = "Ct) *he -5 ^ v'( t+) = v'(o) o) + 4 (' sv (o) + + l+v b) vb) - " (o)) 4v(o) + t? YG)= UG) + uk) V (') V (r) "&) .0 V (')= v' (o) + UG) Lr+ (o) + t t'+(s+17 U (s) =0 s', 4s+ 17 o) A a u (o) + v' &) + lyvb) y,(o)+dv(o) (r+z) - *({6)' v'@) + )* v 0) -7v G*z)- *(G)" r vk) + s"y\s+l? Grz)'* (,fii)' G+L) v (o) ('+z)'*(!ii)- VG)= (s+z) v(o) + (s+z)- .n({E )' ,'(o) rTub) ltr G*r)"*(ffi)' lt3 T^11"3 +lr* larrerse- Ly [^.e Tnn sJ-orrn , *2 J't , 42to rrhJ. c^ o(ro lo" -nittt'r /n for,'. ' v(L) . t- ,)"-'" ';"({6,+ - V) 4l^r. T.o,, tferr* wa Lz-t , , (o) ,or(f"r) + '(o) + 2v k 5 f";n{'

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b) u({), V(')= U";+ SL"f Qk). sv(o)+ v'b) +l+vb) s"+ 4s+ l? (s+z)', (/d' TraSlerw ol , -1* --L e cot l? s(r"rLsrlI) T.^rf ..n' "f , hU'+ ft-_ J- t+ tL 2"1 {srno r \s+t}) + B,'+C,' B,'l c= -h l+ t7 , I ) TL, l^verse- Lylo<z- Tr*r4.r^ o; &r,q war f*J:" 7*t G) U)z o^tJ nt ), to 1J^J +t^r- lu<rtz LTt^'- = A.* BrtC 5(s.+ t+st t?) r 5'n- l+s + IT E (stz) A Af 5 It t1 s .L c-zg
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102_1_midterm_q2_soln - F Lry + cfw_? v(tl J+ I &quot;u(t)...

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