×

### Let's log you in.

or

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

×

or

## Ordinary Differential Equation

by: Dr. Cleo Wunsch

35

0

1

# Ordinary Differential Equation MATH 335

Dr. Cleo Wunsch

GPA 3.73

Staff

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

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

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

×
Unlock Preview

COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Dr. Cleo Wunsch on Thursday October 15, 2015. The Class Notes belongs to MATH 335 at New Mexico Institute of Mining and Technology taught by Staff in Fall. Since its upload, it has received 35 views. For similar materials see /class/223630/math-335-new-mexico-institute-of-mining-and-technology in Mathematics (M) at New Mexico Institute of Mining and Technology.

×

## Reviews for Ordinary Differential Equation

×

×

### What is Karma?

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

Date Created: 10/15/15
to LO g cm Review for Test 1 Math 335 Applied Analysis I Fall 2001 Professor Rakhim Aitbayev Solve the differential equations a yy y 1sin3z b datdt 32 21 C 1 y2da y1 23dy 0 Solve the initial value problems a 1 3y y cos 3 y0 1 b yy 4302 1 310 1 c 32 1y 8mg 23 M0 1 Consider the equation y 1arx2 y6 y at 7 0 Determine for which of the initial conditions a y 0 0 b y1 0 and c y1 7 the IVP is guaranteed to have a unique solution a The half life of a certain isotope is 0 25 10 1 If a sample of radium weighs 10 9 now determine its weight in 100 years b A tank originally contains 2 lb of salt in 100 gal of water Brine containing 01 lbgal of salt is pumped into the tank at the rate of 10 galmin while the well mixed solution is drained off at 5 galmin Find the number of pounds of salt in the tank at any time before it over ows A a w Pure water is being pumped at the constant rate of 2 galmin into a 100 gal tank lled with a solu tion of water containing 10 gal of chemical while maintaining a constant volume and homogenous mixture Find a the number of gallons of chem ical at any time b the time when the solution has been diluted to one half the original amount A a w The number Nt of people in a community who are exposed to a particular advertisement is gov erned by he logistic equation Initially N0 500 and it is observed that N1 1000 If it is predicted that the limiting number of people in the community who will the advertisement is 50 000 determine Nt at any time Show that the functions yl 34 and y2 at lf form a fundamental set of solutions of the differen tial equation a 242gquot 5aty y 0 a gt 0 b Show that the function y clat 1 Cgat lf is a general solution of the differential equation 232yquot 5aty y 0 a gt 0 c Show that the two parameter family of functions y cm 6232 is a general solution of the differen tial equation at2y 2aty39 2y 0 a gt 0 6 Use the method of undetermined coefficients to solve the initial value problems a y 3y 2y 0 y0 0 y 0 1 b y y 0 y0 1 y 0 0 c y y 2y 0 y0 0 y 0 1 d 2y 2y y 0 y0 1y 00 e y 8y 16y 0 y0 2 y 0 1 7 Without solving the problem determine an interval in which the solution of the initial value problem In ty y cot t 0 y2 3 is certain to exist 8 Determine the critical points of the differential equation y y24 yf and classify each one as asymptotically stable unstable or semistable Answers 1a y ln y 1 13cos31 C y 1 1b lnz 21 2t C a 0 1c 12a1 yf C y i1 2a 1113 1 sina1 3 2b x1y2 2a2 v5 2c ya14 54112quot 3 a no b yes c no a m 4b mt t2 4 802t 40 4c mt 106 0 2 t 501n2 34 7min 4d Nt 500001 995 703 5 Prove 1 yl and y2 are solutions of the DE 2 yl and y2 are linearly independent 6a yt 6 2 6b yy cost 60 W 13t 6 6d yt e 2 cost2 6quot sint2 6e yt 26 Qte 7 17r 8 y2 assymt stable y 0 semistable y 2 unstable g

×

×

### BOOM! Enjoy Your Free Notes!

×

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

Steve Martinelli UC Los Angeles

#### "There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

Jennifer McGill UCSF Med School

#### "Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over \$500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

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."

Parker Thompson 500 Startups

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION 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 support@studysoup.com

#### STUDYSOUP REFUND POLICY

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: support@studysoup.com

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 support@studysoup.com