hw1_1_ans - Homework Assignment 1 Math 2171 - Differential...

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Unformatted text preview: Homework Assignment 1 Math 2171 - Differential Equations Sections 002 85 007, Spring 2008 Name: Due: Wednesday, 01 / 23 / 2008 [flux 1. Algebra Review ProblemsLCg/i’g i (3,) em: 26". e, V\ a ~4- 2“; (b) mama? IQMUSL 111G): fulfil! “Xx/1‘“ * (c) 111w) =J<L££fl__- 2. (d) e1““:__g*, 1n(e“>=___QL___ l “‘2 ‘ (e)e—21nx: : _,—.: ‘ :2,» (f) Solvem2+4m+13:0. A: He, Lib) (‘3') .2,_%é < 0 ho (A a "V‘ fl ‘1‘; -— 'Wfé’“ :.’9-i3/\L \ " ’2... 22/, (g) Solvex4~3w2~4=0. * (21 :11 2 alggxé~l+:o 1 W. @—u>gé+x);o ‘ [v1 2 2, 9‘; " 1 $1“- :) (Xhz '2; i2 + e ‘ “A 15¢! ‘ Q ‘ 7‘“ 3) “0 W: FM 6?- ‘ HA C “L15? “’b g‘: Q‘Zflf'bib} (h) olve 0.567e“0‘25””=1.6. ’ ‘ ' O. "’1 6“ , 2—35 9/,“ (1) Solve 3+!” —— 5. 2w 9/ Solve + = 28$ for y in terms of m. , 1 1, ,_ 9L ayatfiwfifl "’9 ‘28" 9% ' 1%?“ 2. Calculus Review Problems (k is a constant in the following problems. . K34 (a) (8)”), 2 Law“. ; fem doc = e g9,“ (b) (balmy: Em: J‘jf; jg;de 133m x TC. (c) (sinkx)'= K g Q; x; /sink::c dm: "—41 é ( Z, (d) (cos km)’ 2 '44 @l / cos km dz): = S214; ‘ l ‘E m I (1) Evaluate / m dx. U a l-HLZ’ 7) 44%;; wL. /’“"“‘“‘" . _. at -’ ‘ - a thwak 5’."de -:_ ~—ka flat: {\Hflw Ll” (n) Evaluate] (mw lix+m (151:. l X _A— B @lQK-f‘ZA—g _ fig, 2: ‘ QLHKYHZD 7t” 75%?» (71*?29 ’\ AM a ' . Syllabus Problem: Suppose that YOU get 80 for each homework assignment, 75 for each Maple assignment, 90 for the first midterm test and 75 for the second one, and 70 for the final exam. If you have a perfect attendance, . What will be your final average and file corresponding letter grade for thiiiourse? If you miss one class, then (V‘x‘ What will be your letter grade? \ ’ r p a; \52/ w (£70 (ion) at 10% {if}; ‘12£}3’e) t {gage} 4‘ [6%6’18”) “tgfla (‘70): lgifiwawmezag.wa \‘si mega/i an!) W a?) Q; *3 _, ' f’fjf \g 4. (P5, page 8) Verify by substitution that = e“c —— 6"” is a so ution of the differential equation 3/ = y.’ C “L a X AL w a ‘Q v 4”% easwee+l“i m; ,1 5. (P77 page 8) Verify by substitution that both y1(9c) = emcosm and y2(:c) 2: ex sins: are solutions of the ; / differential equation y” —— 27/ + 2y 2 0. ‘: C‘DDX' )x 81‘4": T; 1 (“1914479 ‘6” IVE/1U 0“) +7” WK) :2 Q’ZLCZQM’YleQ} Come wig +2g/Xosjfi \ \ l I 123‘" (V/ZWM—Q/ mm: + LWX +2» on“) :1 El (ck) K K i , \é if t “:1” O / \z £50 2 Q34 (Mwmr) 5', to ~— 37": (gm + 067% +06” 3 U I “l' : QjL “m1! 7L4 WW) (am } V % ". 7LCé-W7L ’QS/w‘ix “2069K +73%) :1 32?,“ C 15> ail/VIM) L’th C2909”) 6. (P20, page 8) Given the differential equation: y’ = a: — y. (a) Verify by substitution that for any number 0, y(m) = C’e‘z +1: —— 1 satisfies the given differential equation. b) Determine a value of the constant C so that y(0) := 10. ( .4 I __ f ‘ ~>< fl 9 (90, Ce +A I { X~% : 1L“ (Cé-XALXKD :L- —- C6 + A. \ , ’ A 4 :2 K 3 . (P26, page 8) Given the difierential equation: y’ + ytanac 2 cos as. \Q\‘e V V ’: \> (a) Verify by substitution that for any number C’, y(m) : (a: + 0) cos 2: satisfies the given differential equation. ' I: j (b) Determine a value of the constant C’ so that y(7r) = 0. ...
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This note was uploaded on 04/09/2008 for the course MATH 2171 taught by Professor Deng during the Spring '08 term at UNC Charlotte.

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hw1_1_ans - Homework Assignment 1 Math 2171 - Differential...

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