AK-MATH225F09-WS5

# AK-MATH225F09-WS5 - MATHEEE Fall EUDQ Name k Worksheet...

This preview shows pages 1–6. 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 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: MATHEEE, Fall EUDQ Name: k Worksheet 5 [2.1, 2.2, 2.3] Sectiﬂn: Qt! Girls For qu credia. you must. 3110“? 3.11 work and boiranswers. 1. Consider the differential equation, which models a damped harmonic oaciﬂator. *‘u‘ y”+2y’+5yrﬂ j 7 __ __Z/l7’ (a) Show that ME] = a“ ma (3:) is a solution. yr : “5:15:55 : m HZitﬁTn d 2L) + _ ,- — x ._ ‘ﬁ: . _ H =3 E UCLﬁg-th + ZaETWLZi/D f2;%rniZt)“ LIL CnSfZO 7 _. _ arb- l. * h I u I r I .13déd ~} W194. .. ,. J-_2Lt.qual 2. Given 2(1— g)? my —2y + 4mg; slssle (a) is this system linear? {h} This is a [modiﬁed predstnr-prey model. Which variable represents the predator and which variable represents the prey? x ,I 7 1 f; rnajaﬁor {e} What type of growth does the prey exhibit in the shsenee of the predator? __f________ .__ _ _ 7:01 at = a News [Lazs’clﬂii {d} Find all the equilibrium snlutinns [points] for this system. A): _ _ 01 jg “ lU'Eseryto ‘4‘ f3 '— ~Z)+LJX)-TO if blxb :: .. XL 2 ‘E‘ ,7) 0 7-119; LIX):C) uzb X {Z- ﬂjzﬂ : f + = 74/ 3 La O 2 LEM—LC) XFG Z-QL:O KI; :1 3 11:3 X34 r _t REP ', o O 1 I Zézﬁé7>_—© _ M J/(E’b/Dg . J S g __. ll'i (EL/E “33’— ; lilti- E‘“ flat" X[{)=D,7[t}:Q — i tie-3,;mw 3. Given dl' gt" — —‘2\$ is _ = 2 _.-""_4 [it “(x L' [all Is this system linear? :05; {In} Find the equilibrium ssiutisnﬂs] for this system. iﬁ=ﬁmHD s4 §g=as=s>x> C‘J-X 55E: : 1" 5H : {X ‘9“ 1X )1?) J * -2:i "2‘ ' Z r; -H 53:: ‘. cl; 4211s 32* (A t 7 "L aziwédv asrxi zi—LZim m. 1 ‘1 . mt . a) _ -1 1m A = sac: “‘Wﬂfms. . f + 3—st ‘ ~ vi? 4 L t w; '91s; H: r r!- 71'“ L“ 39’" Wit WH- I' TAX 4 2-K I‘D / X :5: ,« X3”: F + Lita K‘s—L} M {Zr-L Ff: {Ht FL”+?s ’73 ﬁgh2J<E 4 ..‘_- D FT— ‘— I. A 1ft ._ - -} Z ‘_ XL'C) r ma} : Kc, 3*} 7*” if. H7P_tzri7s {d} Find-the partial-lﬁ-sslutjsn that satisﬁes thlIEEIislcsndition {x[ﬂ:l1y(ﬂj}= (13,13). 7P: {Ki rt ﬂtgjlﬂs:D/£,=o who“; 75c») : M15” +0 =61 , 35C) . 06:1 t Xa'):ﬂ \$717735 7'5 {is ‘3 -— N r' K :LH? "'1‘: ZHLO Eﬁﬁ'i'bﬂm % ‘ '_ C11. _ g ‘I: J aim” stwlg 413st; 1|. l‘ .. ....._________ Lrnaftwi h "---—..___'____-_ G- /+ I . . ____ _r:__ L"- fégqﬁ I ' -. . r] ~ I“ "' l..____-____“—" .._a" _____ .- "" —_________"_I_I _ . - fr: 5;} A ‘)I: 41. Given E — ace“ dy _ E dt _ ‘3 (a) Is this system Linear? M5: Cb] Find the gonorai solution to the system. PR;— QJI {LCD OP {ﬁg/L I Wax—i- dﬁ’j‘: Uri”! - [M‘H- ‘ﬂl'r' Tnii - (4} Z .1 ac! C} frangﬁorg ﬂo‘i‘ Passl’diﬂrtf, (c) Find the particular solution that satisﬁes the initial condition {of}: pan.) 2 [2,1]} . “1| VEH'ZJ: gal-{it'E-Q —_: [H {‘23: _.2- +Kh‘j :9 A. 2': / _ - a: - _Z on; its—o Wit = 4 CL ‘3 +itxﬁl. :i _ tor—O .Unc/‘fﬁiéﬂﬁﬁmal "425235731?! ﬁ%5_.__?3_ ...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern