Call Now to Set Up Tutoring:

(888) 888-0446

Differential Equations : Mathematical Models

Study concepts, example questions & explanations for Differential Equations

Create An Account

All Differential Equations Resources

1 Diagnostic Test 29 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Mathematical Models

Suppose a dog is carrying a virus returns to a isolated doggy day care of 40 dogs. Determine the differential equation for the number of dogs D(t) who have contracted the virus if the rate at which it spreads is proportional to the number of interactions between the dogs with the virus and the dogs that have not yet come in contact with the virus.

Possible Answers:

$\frac{dD}{dt}=kP$

$\frac{dD}{dt}=kD(40-D)$

$\frac{dD}{dt}=kD$

$\frac{dD}{dt}=k(40-D)$

$\frac{dD}{dt}=k40-D^2$

Correct answer:

$\frac{dD}{dt}=kD(40-D)$

Explanation:

This question is asking a population dynamic type of scenario.

The total population in terms of time and where is the constant rate of proportionality, is described by the following differential equation.

$\frac{dP}{dt}=kP$

For this particular function it's known that the population is in the form to represent the dogs. Since the virus spreads based on the interactions between the dogs who have the virus and those who have not yet contracted it, the population will be the product of the number of dogs with the virus and those without the virus.

Therefore the differential equation becomes,

$\frac{dD}{dt}=kD(40-D)$

Report an Error

Example Question #2 : Mathematical Models

Possible Answers:

$\frac{dD}{dt}=kP$

$\frac{dD}{dt}=kD(40-D)$

$\frac{dD}{dt}=k40-D^2$

$\frac{dD}{dt}=kD$

$\frac{dD}{dt}=k(40-D)$

Correct answer:

$\frac{dD}{dt}=kD(40-D)$

Explanation:

This question is asking a population dynamic type of scenario.

The total population in terms of time and where is the constant rate of proportionality, is described by the following differential equation.

$\frac{dP}{dt}=kP$

Therefore the differential equation becomes,

$\frac{dD}{dt}=kD(40-D)$

Report an Error

Example Question #2 : Mathematical Models

Possible Answers:

$\frac{dD}{dt}=k40-D^2$

$\frac{dD}{dt}=k(40-D)$

$\frac{dD}{dt}=kD$

$\frac{dD}{dt}=kD(40-D)$

$\frac{dD}{dt}=kP$

Correct answer:

$\frac{dD}{dt}=kD(40-D)$

Explanation:

This question is asking a population dynamic type of scenario.

The total population in terms of time and where is the constant rate of proportionality, is described by the following differential equation.

$\frac{dP}{dt}=kP$

Therefore the differential equation becomes,

$\frac{dD}{dt}=kD(40-D)$

Report an Error

View Differential Equations Tutors

Jerry
Certified Tutor

Worcester Polytechnic Institute, Bachelor of Science, Mechanical Engineering. University of Rochester, Master of Science, App...

View Differential Equations Tutors

Wako
Certified Tutor

Texas Lutheran University, Bachelor of Science, Mathematics. Texas Lutheran University, Bachelor of Science, Physics.

View Differential Equations Tutors

Andrea
Certified Tutor

Tirana Polytechnic University, Master of Science, Electrical Engineering.

All Differential Equations Resources

1 Diagnostic Test 29 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

LSAT Tutors in Los Angeles, SAT Tutors in San Francisco-Bay Area, ISEE Tutors in Dallas Fort Worth, GRE Tutors in San Francisco-Bay Area, SSAT Tutors in Dallas Fort Worth, Algebra Tutors in Los Angeles, ISEE Tutors in Houston, Algebra Tutors in Dallas Fort Worth, ACT Tutors in Dallas Fort Worth, Physics Tutors in San Diego

Popular Courses & Classes

Spanish Courses & Classes in Philadelphia, ACT Courses & Classes in Philadelphia, SAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Philadelphia, ACT Courses & Classes in Dallas Fort Worth, GRE Courses & Classes in Philadelphia, SAT Courses & Classes in Dallas Fort Worth, GMAT Courses & Classes in Atlanta, SSAT Courses & Classes in Chicago, MCAT Courses & Classes in Washington DC

Popular Test Prep

ISEE Test Prep in Seattle, SSAT Test Prep in Boston, GMAT Test Prep in Denver, GRE Test Prep in Denver, GRE Test Prep in Boston, MCAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Houston, ACT Test Prep in Philadelphia, GMAT Test Prep in Dallas Fort Worth, SSAT Test Prep in San Francisco-Bay Area

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Differential Equations : Mathematical Models

Study concepts, example questions & explanations for Differential Equations

All Differential Equations Resources

Example Questions

Example Question #1 : Mathematical Models

Example Question #2 : Mathematical Models

Example Question #2 : Mathematical Models

All Differential Equations Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: