2012 fall exam 2 - Mathematics 204 Fall 2012 Exam I1 Your Printed N ame'J-G'G-J't,o'LJ Your Instructor's Name Your Section(or Cl ass Meeting Days and

2012 fall exam 2 - Mathematics 204 Fall 2012 Exam I1 Your...

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Mathematics 204 Fall 2012 Exam I1 Your Printed Name: --'-'J?"-G-'--'''----'G"""-J't}._,o"-'LJ""'-------------Your Instructor's Name: ------------------------------------Your Section (or Class Meeting Days and Time): __________________________ _ 1. Do not open this exam until you arc instructed to begin. 2. All cell phones and other electronic devices must be tu rncd off o1· completely silenced (i.e. not on vibrate) for the duration of the exam. 3. You are not allowed to usc a calculator on this exam. 4. Examli consists ofthis cover page, 6 pages of problems containing 6 numbered problems, and a short table of Lap lace transforms. 5. Once the exa m begins, you will have 60 minutes to complete you r solutions. 6. Show all rclcv:1nt \rork. No credit will be awarded for unsupp01ied answers and pmtial credit depends upon the work you show. 7. You may use the back of any page for extra scratch paper, but if you would like it to be g1·aded, clearly indicate in the space of the originnl p!Oblem where the work is to be round. 8. The symbol [ 17] at the beginning of a problem indicates the point value ofthnt problem is 17. The maximum possible score on this cxnm is I 00. problem l 2 ') 4 5 6 Sum .) points earned maximum points 17 17 17 17 16 16 100
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1.[17] Find the general solution of each differential equation. (a) y<4l+ 4y" +4y=O ~-::: e.v-t lea.J.s +o y-f +-4-/' + 4--:::-o %. 2.. OY' ( Y+ z.) ::: 0 wi~ Yoo-bS '( "= .fiC c~~~pliof__; 2) 0..~ '("-:::. -/i ~ c~~tu"p{iq~ 2.). -rhev'e.fo<"e.. ( E...Je...-e.~) .J-::: t~ !wAs +o ~c~-1)-~ -;::. o lJ'(" 2. Vlo\-~-{o = 0 O'(" ~-3 )( w..r2-)-=::. 0 W i~ YOots "1-:: -2. 0.~ ~-:=. 3 . Thei~Y"e. is ~ FJ $cLAio~ f>~-" a.nj \'r\\;e.YvJ ~f d.oes rtot ~~·bur\ t-::o . He.v'e. c1 Gt.~ c-z.. Ovfe o.,v{,~tya."j Cot\rtO.I'\tS .
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2.[17] Findthegcneralsolutionof )/ +6y'+9y= e~31tJ . "f't . /{ I j = e '~ J +-bj + 9J -=-0 wi#1.
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