Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > The solution at (x, t) = (2, 1) of the partia...
Start Learning for Free
The solution at (x, t) = (2, 1) of the partial differential equation, 
subject to initial condition of u(x, 0) = 5x and 
subject to initial condition of u(x, 0) = 5x and - a)7
- b)11
- c)21
- d)31
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The solution at (x, t) = (2, 1) of the partial differential equation,s...
Concept:
where -∞ < x < ∞ , t > 0 and c > 0.
Satisfying the conditions u(x, 0) = f(x) and
where f(x) = initial displacement and g(x) is the initial velocity.
The solution for the above equation satisfying the conditions is given by D-Alembert's formula i.e.
Calculation:
Given:
Initial condition u(x, 0) = 5x ⇒ f(x) and
∴ the D-Alembert solution is
Putting the values of x = 2, t = 1, c = 6 and g(x) = 1
f(x) = 5x
f(- 4) = -20 and f(8) = 40 and
u(2, 1) = 10 + 1 ⇒ 11
where -∞ < x < ∞ , t > 0 and c > 0.Satisfying the conditions u(x, 0) = f(x) and
where f(x) = initial displacement and g(x) is the initial velocity.The solution for the above equation satisfying the conditions is given by D-Alembert's formula i.e.
Calculation:
Given:
Initial condition u(x, 0) = 5x ⇒ f(x) and
∴ the D-Alembert solution is
Putting the values of x = 2, t = 1, c = 6 and g(x) = 1
f(x) = 5x
f(- 4) = -20 and f(8) = 40 and
u(2, 1) = 10 + 1 ⇒ 11
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Top Courses for Civil Engineering (CE)View all
The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer?
Question Description
The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer?.
The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer?.
Solutions for The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The solution at (x, t) = (2, 1) of the partial differential equation,subject to initial condition of u(x, 0) = 5x anda)7b)11c)21d)31Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup