Solutions Hmwrk5 - ME 391 Homework 5 Assigned Due Problem 1...

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Unformatted text preview: ME 391 Homework 5 Assigned: Mar 19, 2008 Due: Mar 26, 2008 Problem 1: Find the Laplace transform of fix) = 3 + 2x2 (5ptS) X{3¢ZX‘9’} a 3568} +2 XU‘} =3(g‘“\ i'Zfi'sL’L) = 33kg“; Problem 2: Find the Laplace transform of fix) = 23inx + 3c032x (5 ptS) 2— '3. 3», i: 2. 37—44 *3(€L+4 :— SL—H" 614/4 Problem 3: Find " { 1% _ i X €141, COS (a X (5 pts) Problem 4: Solve by using Laplace transforms y’ — 5y = 0; y(0) = 2. (5 19$) 2. YLQLS'g) ’ Z 7-0 7-) YCg): gig 3C3) 101/405“: of'is'flés} = 2.26431} ‘ gig-X Problem 5: Solve using Laplace transforms y” + 4y = 0; y(0) = 2, y’(0) = 2. (5 ptS) ( Z s L {ea} 5... 4, ”‘1 ”L" + a 2 374,2,” : Z 6523‘ 592 5 *4 51+? ...
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