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HW2 Solutions - ME 391 Homework 2 Solutions X-X Problem 1...

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Unformatted text preview: ME 391 Homework 2 Solutions X -X Problem 1: Find the Wronskian of the set {9 J C } “X x -x “ UMexe’)» e e a C ' fl ii“. Ac" 2 6“ *e'x a” ax Problem 2: Determine whether the set ( 6 Y e ’ X} is linearly dependent on < 3 1 ‘90 00 wroxfiuiob‘“ USO—3 «CMMLA in \ (‘2) Smog IVE is Met/«32ml 41y 62.5 \aafifi’ \ 9% {by “WE iw*2fva,l (-00‘00)) #2, gilt i> \CMW\V\ iwéapzmladc. Problem 3: Two solutions of 01:, 2-¢{" 15:10 are 6 X‘ 2‘ XCX Is the general solution 14: Q ax 4» ('7. ch 00(6): xax) z e Problem 5: (Try this!) A body at a temperature of 50deg F is placed outdoors (NOT IN MICHIGAN! !) where the temperature is 100deg F. If after 5min the temperature of the body is 60deg F, find (a) how long will it take the body to reach a temperature of 75deg F and (b) the temperature of the body after 20min. (00°F d’F I: + J1]; :1” JL SPOGAJC chogwigal (a, + PCXM/‘g @(XZJLt 37> “d:- Quhv 6 (1d: eat: em MUH/iplol ‘HM’Ovtbim iat,‘ 1M} Pitta-r JL+ T + (’- if +le’LT , 10015”: ELL d’c( (Tau) =jlooieit 1‘3““? mo; in 17,6: 053% + (00 “L603 ’126‘0 @ {3:0 501w +1002) CV51) é‘uesnmre ‘EALV. / __ " 4:4 I: 6'0er +100 i=5 “:uo 1—50e ”Lear HI) SOLVE 6% JL -5}— ~ _ ~40: '52): :5 L: ég‘g = éC—(mu) coofi‘ a.) £2; @ 7:75. ~o .0454; a o. o4sc _ 754‘936 Moo :3 e ’ [/2 , J. —0.o¢§t =01; ::> ‘C= (5.4mm b) ”I @ {2:20 _ (“D .0 45) L20) T: ’96 +100 :) ~57) (0.4!)4— 100 = ’l‘f.50p ...
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