Show that the function satisfies the wave equation z/t = c(z/x). z = sin(x - ct)

Question:

Show that the function
satisfies the wave equation ∂²z/∂t² = c²(∂²z/∂x²).

z = sin(x - ct)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Mar 31, 2023 09:03 PM

See More Questions

The wave equation c2 (2u/(x2 = (2u/(t2 and the heat equation c (2u/(x2 = (u/(t are two of the most important equations in physics (c is a constant). These are called partial differential equations....
This circle. < 0 necessary and + c r = origin such as x conditions () , where s roots is equation r the product with the The function the radius ) k and that there varies, P. Show 0, R(t) k, show...
Show that the following functions are harmonic and determine the conjugate functions. 1. u = 2x (1- y) Ans. v = -y+ 2 y + C 2. u = 2x-x+3 xy Ans. v = 2 y- 3 xy + y' + C_ 3. u = log (x + y?) Ans. y = ...
Cinderella's income increases by 25%. She decides to increase her purchases of glass slippers by 40%. To her, glass slippers are a(n)____________good and her income elasticity of demand for glass...
Lake Air Carpets books show the following data. In early 2018, auditors found that the ending merchandise inventory for 2015 was understated by $6,000 and that the ending merchandise inventory for...
oints Save Answ Thompson Corporation sells two types of computer hard drives. The sales mix is 10.00% (-Drive) and 90.00% (K-Drive). J-Drive has variable costs per unit of $180.00 and a selling price...
What solution would you recommend for Jamie Lee to get her credit cards paid off as soon as possible? What are the advantages of your choices? What are the disadvantages of your choices?
Rank the following securities from lowest (1) to highest (8) in terms of their riskiness for an investor. All securities (except the Treasury bond) are for a given firm. If you think two or more...
- 15 Which of the following statements about involuntary conversions is false? ed a out of Select one: a. The gain or loss from an involuntary conversion is reported in other income and expense on...
Show that the function satisfies Laplace's equation z/x + z/y = 0. z = arct y/x
Show that the function satisfies Laplace's equation z/x + z/y = 0. z = 1/2(e y - e y )sin x
Which period represents the smallest atomic radius? Which group represents the most metallic character?
1.For Zenith Co. the Processing Division sells a computer module to the company's Assembly Division, which assembles the finished product.The Microprocessor Division is currently working at capacity....
I. The company "EVERYTHING FRESH EXCEPT THE CHICKEN" buys birds to process and distribute them for human consumption. From the process of these birds 3 products "breasts, thighs and wings" are...
What is the decimal value of this 8-bit two's complement number? 1000 0000
Direct Disk Drive Company operates a computer disk manufacturing plant. Direct materials are added at the end of the process. The following data were for June2017: Work in process, beginning...
You are the director of health information management at an acute care hospital. The hospital's radiology manager has come to you because an employee mistakenly included protected health information...
To what extent are office-politics skills important for a person who is technically competent and hardworking?
Consider the function f and its graph. a. Estimate the zeros of the area function b. Estimate the points (if any) at which A has a local maximum or minimum. c. Sketch a graph of A, for 0 x 10,...
Find the probability of the indicated event if P(A) = 0.25 and P(B) 0.45. P(A B) if P(A B) = 0.15
Find the probability of the indicated event if P(A) = 0.25 and P(B) 0.45. P(A B) if P(A B) = 0.6
Find the probability of the indicated event if P(A) = 0.25 and P(B) 0.45. P( A B) if A, B are mutually exclusive
Read the following and then answer the questions below:September 12: A Brisbane business offers by letter to sell 500 tyres to a New Zealand company. The Brisbane company does not specify a method of...
Fred returns home from work one day to discover his house surrounded by police. His wife is being held hostage and threatened by her captor. Fred pleads with the police to rescue her and offers...
Would like you to revisit one of these. Consideration must be clear and measurable.if you can't measure it then how can you show it has / has not been done?How can you sue someone for breach of...

Show that the function satisfies the wave equation z/t = c(z/x). z = sin(x - ct)

Question:

Step by Step Answer:

Z sinx ct z t c ...View the full answer

Calculus

Students also viewed these Mathematics questions