New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Math 238 Test 1

by: Taylor Wilson

Math 238 Test 1 MATH 238

Taylor Wilson
Appld Diff Equations I

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Math 238 test 1 with answers
Appld Diff Equations I
Study Guide
Math, Differential Equations, Engineering, Calculus, Education, electrical engineering, Computer Science, math minor, math major, math 238, Tests, Solutions
50 ?




Popular in Appld Diff Equations I

Popular in Mathematics (M)

This page Study Guide was uploaded by Taylor Wilson on Sunday January 24, 2016. The Study Guide belongs to MATH 238 at University of Alabama - Tuscaloosa taught by n/a in Winter 2016. Since its upload, it has received 46 views. For similar materials see Appld Diff Equations I in Mathematics (M) at University of Alabama - Tuscaloosa.


Reviews for Math 238 Test 1


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 01/24/16
1 8 points For each of the following differential equations find the dependent and independent variables Clearly indicate Otherwise no credit if it is linear or nonlinear lo 2 var r map a B All MULLH pLi39aPS are Fhs of ride 0 N0 Lawl vmh39vc amdL Lalo fS Pai39SeJL to a an exponent Any occunen cc of the 6538 7 I31 HM39S Prob 5 0F HAC foiom AOCX l SO KEN 5 Li neom S ii2p p PieF3 P Irich 39 17 I8 2 Del v ow 9 noti ed to am 5 EN V s NM LnaaP d 2 met l 2 8 points Determine for which values of m yx emx is a solution to the differential equation I SulaSlith ml o HM ai39vcn 1742 mmemx Offf awn 7 MLCMX 3m mx 1memx 0 AI emxm23m2 0 1 7 Com newer 1 W 3m 2 0 Factor be eWai to wowz 3 Existence and unigeness theorem Given the initial value 1 6f problem 3 fx y yx0 x0 lffand Eare both continuous functions in a rectangle R xy altxltb cltyltd that contains the point x0 ya that means quotnearquot x0 yo Then the initial value problem has a unique solution cpx in some interval X0 6 lt x lt x0 6 where 6 is a positive number Using this theorem determine whether the given initial value problem has a unique solution l attention l Do not solve P 739 PM 6 points 2 2 y14N Y z 4 mm 04 oly AX VS IV CO d39Y Uquot bg own39 gt for j Cont meow 14 FXIV 1 L X quotl o Y 7 1 I 3f xy z 3 quotX lquot2 3 ml new I14 SO Ioon 0F H42 Tho pay are mat MAJL be applying Ha 7km HM have TV km a wiqu 29 quot in HM mmvml v8 l o Fw Acme 70 4 Solve the initial value problem for the given separable differential equation 10 points d 1 4t3e 33 y 1 0 7 ow 46 at at cL gt 413 at 6 7 Se A7 2 l4 0U 7 397 g C NW Q anamp I c 0 3L0 7 6 3 04 C 2 l 7 gt 3 i C gt C 3 gt 53 Equot 2 3 A 3 7 e 3t a Tine wml39wue Aolwti39an 5 Find a general solution for y to the given linear differential equation 12 points a POO 2 d 6 d x 9X2 Eve y Hm39ng 1th balmLem ch anal y P00 39 5 fn m L39HS 0f M SkzMAoLAnamp Firm x J The cw 5 alneacky in We Stanolamci Wm Me mr i Z how Cuff 1 So we one all at to leCulal e er l nl egpat lkg Apaclroh II 390 V3 1 A 2 9 L m ll 0 ll 5 ll ll ii x fnl eanalri39n factor 39Ncrw MAlele it he and Ai39oLe of He Sl39omrkode for m I A X6 3amp1 1 1 Hat ix k 6 5 g 2397 X g GK y ch x LJ x 7 ff lxg J l Ppo ampucb Lula AL Q 1 ix Nu w te pate flo 5 3quot 33Cquot 7 m 3 x y we xq C 6 Solve the Following Bernoulli Equation for 118 points n a d 3 o y 2 C y 1 if HAE Bennovullf form dx y2 iii P001 61007quot heme fl R l l l l 2 5 1quot 1 SubWm v y y3 W MomM amok Si39JLc wv x z AV 7 I quot39 37151 mw Solve for Q dot dx 1quot a 7 clLv Ax 3 2 3 I abth htD PM V I39g l d BCY HOMHI EN 2 1 7 3 equot 6 ya 39 3X 7 1 31 y 6 No w clean 37 ch 2 7 39 l Hui CanF in FPO of 0 2 ii 373 363x U V 90 Ha ov i afnal EMquot we AIM US E0 39 iiiV 393 1A LiloSi or obm LE Dela v M in Sl amcLowcL form P00 quot3 Wm ix 9393 0 3x 7 e e 7 e 3 01 3 e x IEquot3V 36quot 3X quot quot11 6 LY 5 333 v 3 M 1 6 3 V V 3 L 1 J PPOMCquot Rule 53 e 3xv z 3 W 6 3 v 3x c 3x V 3 8 3x C 7393 63 3x C Htcarat amok fole 3 so I xco 2 of 500 Ft CL 500 7 The air in a room of volume 500ft3contains 2 carbon monoxide initially Starting at time tO fresh air containing no carbon monoxide is blown into the room at a rate ofS t3Zmin If air in the room flows out at the same rate what is the amount of carbon monoxide in the room after time t 18 points I OM HWI raft of Olfy39 5 I50 539 fl ml39n b The input rate of carbon monoxide in the room In Flcrw Pate of air Assume xt be the amount of carbon monoxide in the room at time t a Find the necessary initial condition x 0 O x CCmConlrantfon of CO in HM l39nCamx ng air 505 O z 0 AfIACC f1an air D cThe output rate of carbon monoxide in the room at time t Ourflaw hate oF ai39n Cmahan 0 Co in owl39gm39na our 2 539 MM 0F CO ward prom at rm i Sgt Cbgt 25 foSHna Y bl of am it M J N 500 IOO 1 Stay5 le39ant lolc inflow r041 of arr wrFlo W dThe mathematical model we use to solve this mixing problem is padre of and dx a Input rate of carbon monoxrde output rate of carbon monoxrde z ampX 425 Jxx X gt0Lt quot O loo gt quotquot Sefwable Cu 100 eSolve the separable differential equation in cl subject to the initial condition determined in ad to find xt ch 3E dx 39 If too gt T quot loco v27 1 X loo 7 bx T OC X00 2 nlo 1 9 6 2 ngnw ll 1 s x ll 1 6 rr 0 Q s E 1 m 5 61 v l l w 4 11 A c1 ll 639 Di 3 d O


Buy Material

Are you sure you want to buy this material for

50 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Allison Fischer University of Alabama

"I signed up to be an Elite Notetaker with 2 of my sorority sisters this semester. We just posted our notes weekly and were each making over $600 per month. I LOVE StudySoup!"

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."


"Their 'Elite Notetakers' are making over $1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.