07m1-solution-white

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

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

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

View Full Document

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

View Full Document
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
Ask a homework question - tutors are online