07m1-solution-white

07m1-solution-white - 5A Midterm 1 Spring 2007 Aprii 2 2007...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 5A Midterm # 1 Spring 2007 Aprii 2?, 2007 Instructor: G. W'ei Name Discussion time (circle one): T821111; T413111; T513111; Tfipm; T713111; 11881111; 11413111; R5pm; P1613111; Your Scores: 1.; 2, ....... 1. 3. 4; ....... 5n Your Tota} .. All questions have equal points. Continue on the back of the page if you need more space” Good luck! I. Solve the initial value problem. y” — 211’ + 2y = 0, y(0) = 1, y’(0) = 2- Write your solution in the phase—amplitude form, M ' . r ~ 1 .. .. L I Me. Mmmt'fF/qu‘ic; Egflitufi'm V9 1’ “ll’+l r; O li-‘Fwfl \ y: :[ji[ 7, 5'0 fI/vfi, S'o/Lu/‘Ih, W7 :- ef (6142—411 7C (157an (‘10)); a, :1 2. Find the general solution of 2y”! ~_ 5y” + By! m 0' Maura/#647} 2 1. 21/ w 37 +2 V :2 <9 3‘ Find the general soiution of y” — 4-y’ + 4y = 8t?" 71 E1 0Z4 YMMV} AC 0% “(Elia Aj‘inZJIWL-w p E x . I’W‘fl’fffs—wo (y,1)15,0 3. FM’JO’K I 2, y)“ “TL” ~ ¥L=G6f~ficxehf ( a 1- "in 4f “USMC; “M Ergrwm—wg 3Puxlfl 2/31""‘fC-MHHLG)+‘3&('4'15L+13't*+c)==XfL (44¢? [15; I: ._ ij+W3$0 ’ )3 (f’ C“; M“‘H3+‘€CT—o fLe fawn/d COMH’L 1’! j('{—)=ae"f+mc”+2ft+w +3 4“ 3,) Find the steady~state solution of the difiexential equation x” + 422’ + 3:1: 2 20 sint. b) Consider the differential equation y” + ay' + 9y = 0. F0: What values of a Wili the soiution osciilate? 0‘) 77a 0/174 rowfwr'rkc, 9/, {wmymw pg 5; V+W+S>o I O’H) (H3) 2.4;, V24, '3 I wk) z 616.”6 + clef” L“ Kr 3" 4 5"“ "‘ ’3‘”! W XF‘: “Am View? Kr” :: wA Mt v {3 {ML .- 4 mi" «(351% {- + 9L (VA mf f (3 [es-f} +£(flMHKJJn1f/azomf {24 MM 90 {Aid/3 {/7744 243 MW) 32,0 z/zgqnjtzo @5 Z X“ '5 X S "$‘5‘Sf + mm L) (oftofifl vim/74$ bale/L mfg W (390% MM“? “‘1’”rf‘7<o W <5 5‘ 3.) Find the motion of the mass-spring system with mass m = 9.25 kg, spring constant )‘c = 5i newton / meter and damping constant 5 m 2 newton sec/meter“ The mass is initiaiiy pulled fie the right, stretching the spring by 01 meter, and then released with velocity of O 6111/ sec. b} At What time is the spring maximally stretched? 0‘) [a m; La 1517. [Maw M“; , W P-upk+lk ~FQLX30 Kim/$01 levriwtg / ’fi'rlf-Lr % V =>C? fh+9Y+Iér~v (YWLSLJLTH'O rz—V 7/; WM ga/wwk s we .. KN] 3 Cr (Z {If C KID): C, 3—0.! f‘ s. m = Wm 6, +57, 6 w Sfi'c’sfe 2(0):: «-— M +6}, :2 mawa wag @f’ wsf sf egg/fly 744714" 7: ‘P f ".3; 0 i [5" W. 7 F/WIA‘M/p :2 M my»;in ’7ij ’6 IWMFWFM cal?“ Lac {WWW/«I‘M W[é’£1 9 *7 {1’ ...
View Full Document

{[ snackBarMessage ]}

Page1 / 4

07m1-solution-white - 5A Midterm 1 Spring 2007 Aprii 2 2007...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online