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hw1_1_ans

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

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