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Exam1_solutions

Exam1_solutions - SSM 317—01 Engineering Mathematics...

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Unformatted text preview: SSM 317—01 Engineering Mathematics Wednesday, February 12, 2003 Open Book Exam k One Hour Ex in ' umberl Answer all questions. 1. Use Laplace Transforms to solve for ..~:(t) d1: 1'- 3? — [a sonar = m) 55(0) = 2 I Is a:(t) continuous at t: 1? ' 2. Use the change of variables a; = z? to reduce the ODE day 4a:(1 —- + (2—6m)—]+6y=0 to a familiar ODE. What is the general solution? 3. Find all solutions to A11: = b 1 1 —1 1 1 3 —l 1 —1 b = 2 2 —2 2 a c For each set of values of a, it ﬁnd rank A and rank (A : b) A: Ir'hl 4e); In», eh/ u. 15"? b-N ""‘1 xii): ""1 cff’glc 5w" eer’“ '5" l -—f£‘-U ; was a a +{jc'0 ..'. I =7'8=,v/z. i3- iii/.213 .__, 6/? r—X/ C11 A? d; f'ﬁ/ L. at): d u—F'” :- ___‘{ if u} I -. dar" A2- 2. "—35 X Q *5! y?- -C-1 .93.") dd’ da- = -—_’- 4%. c’) i [fir d3 *zjﬁ'y" 35’ c1; 1 __ 9 nix—34‘ 3'2 ) dz dx .1 c131: L/Y 2' -—3 ﬁvgl \$.32 Pl “Cl-Z}, 42 1hr __ dz?- SGéIJ-tvtgl-c Ll" Hr -—-’ "3‘- Jy - (C )6”! 5*J*’§"-‘? * (2—54) irr‘y‘é? { -4g 2 ' dz i" V‘0 *1? 6/?) 2’} any This is Lasc—ndm‘s Eemﬂb” ‘ W'?"'Ph- (H'Z' I) Ti“: 96- "0’9/ Iafwl—tbn 95 given 43, (5’) P3 206 r A/of'o Iz'noo n=2{ 2. Zﬂ-IJL 1444.); /" 3.5 If iii/2.6x) \$0 #hoﬁcncr‘h/ Saiﬁf'iw" "5 .' 1/5?)=’4Pz.53)*8‘/253) -> you: 4.23.514?) *EY-zZ/F) 4 5 9K ’ REFMSLJ .3) W, Rap. 14(4) .2. 3 R¢n£(#;'\$)-=3 fr” =3 glitr/ 4;;{5 ...
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Exam1_solutions - SSM 317—01 Engineering Mathematics...

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