Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. the temperature , u(x,t), in a metal rod of length

The temperature , u(x,t), in a metal rod of length L satisfies           del u/ del t =...

70.2K

Verified Solution

Question

Basic Math

The temperature , u(x,t), in a metal rod of length Lsatisfies
          del u/ del t= k del squared u / del x squared limit 0 less than or equal to, xless than or equal to L , t greater than or equal to 0

The ends of the rod at x=0 and x=L , are maintained ata constant temperature T not 0 , so that the boundary conditionsare
               u(0, t) =0    u(L, t) = 0
The initial temperature distribution is
      u(x,0) = 4 sin 2 pi x/ L - 6sin (3pi x/L) +12 sin (5 pi x / L)
Find the temperature, u(x, t).

Answer & Explanation Solved by verified expert
4.3 Ratings (1061 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Finance
1.2K views

Consider the following project for Hand Clapper, Inc. The company is considering a 4-year project to...

Basic Math
1.2K views

Use the Laplace Transform method to solve the following differential equation problem: y 00(t) ? y(t)...

Psychology
1.2K views

Not only are there different types of therapies, each theory focuses on a different aspect of...

Electrical Engineering
1.2K views

Translate the following real world scenario into a signal. Write mathematically. An IV drip is started...

Operations Management
1.2K views

Celeb café wanted to change some of its furniture. The manager, Macy, contracted Trend Furniture to...

Accounting
1.2K views

Washington, Inc., makes three models of motorized carts for vacation resorts, X-10, X-20, and X-40. Washington...

Basic Math
1.2K views

Joe and Nick are comparing their savings accounts and they want to know who is...

Calculus
1.2K views

Determine the variables in the expression below Enter your answer as a list separated by...

Accounting
1.2K views

What is the impact of companies adopting IFRS reporting based on equity based accounting for...

Accounting
1.2K views

Solve the system of equations: 2x - 4y + 5z =- 4 3x + 2y...

Accounting
1.2K views

The following information pertains to Zillow Manufacturing Company for year 2021. Assume cost of goods...

Accounting
1.2K views

Sharp Company manufactures a product for which the following standards have been set: Standard Quantity...