Solutions Hmwrk 7 - ME 391 Homework 7 Assigned: Apr 9, 2008...

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Unformatted text preview: ME 391 Homework 7 Assigned: Apr 9, 2008 Due: Apr 16, 2008 Problem 1: Solve Linear System using Laplace (5pts) (9 y”+z+y=0 @ z’+y’=0 W» = 0, y’(0) = 0, Z(0) = 1 Problem 2: Find L for the following periodic function (5 pts) SM (fig 4 1} T: 21} * Bea/wag £01): g: 0 Tl'zté 2.1? a Run I Sol“ ’ 61: TV —> 111“ e Duv‘ i 5‘ ‘411‘6 JV? 4; Mirtzypl Tl ______________,_,_ 62H 1 {6-ch (4.3m - c030; (J __L___ l+é4T3 I ; t’eaz’t‘rs j : (‘ve—1¥€>LSL+D Problem 3a,b: Interpret the following systems graphically: (5 pts) (graph and interpret solution) l {00% 2%00J’Coufis . interszcks(? (IIC) X=2—,t1:l Sou)an CONSIST‘E IJT 3b: x+y=3 (5pts) x+y=- Mo 50 eu—nmd (HO pOn-IT OC xuvg [HTIEILSEcmmJ 3 [Mcoqusr‘EdT Xi’Wv’Z. Problem 4: Solve the following system using Gaussian elimination: (5pts) x—2y+z=0 2x+y—3z=5 4x—7y+z=-l . l "' ’2, I —Z l 0 12.927521. 1 O z t —3 5 o 5 “S 5 2x42 +2 — - 4 -q ‘ " g ‘ 3 O ‘ 5 I l *7, l o Rae‘flzfilg * «1. \ ” ————9 o \ vs —; O I '3 ‘( 0 5’5 5 O o (0 W ‘01:”: l i: Problem 5: Solve the following system using Gauss-Jordan elimination: (5 pts) 2x—2y=-6 x—y+z=1 3y—22=-5 Z “ Z O —(p l/ l ’l O ’3 \ ~| \ I 1"» ‘7'?" i “\ l | 0 $ ‘- 2. -S o 2: *1 —S l ~ I c) '5 .. ~ 0 o t 4 (9 3 ’ Z “S 0 g ’z -6 o o t 4 Rf? 22 Ha i — l o « 5 11 y 2 ‘ _ ‘ O ._ 3 2. ‘9 ?> 73 O 3 O 3 2, 2_ O ‘ O I 0 O I 4 O O l 4 l o o — 9— X =‘Z Rx") fll-F (1‘ o l O l ,3 ._._ ‘ (‘2 t O O l l I 4 2: 4 ...
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This note was uploaded on 07/25/2008 for the course ME 391 taught by Professor Blazer-adams during the Spring '08 term at Michigan State University.

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Solutions Hmwrk 7 - ME 391 Homework 7 Assigned: Apr 9, 2008...

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