Which of the following functions are eigen functions of d2/dx2? (a) ex; (b) x2; (c) sin x;
Question:
(a) ex;
(b) x2;
(c) sin x;
(d) 3 cos x;
(e) sin x + cos x. Give the eigen value for each eigen function.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 91% (12 reviews)
a d 2 dx 2 e x e x and the eigen value is 1 b d 2 dx 2 x 2 ...View the full answer
Answered By
Sk Enamul
I am still a student of applid mathematics University of Calcutta.
I want study higher level mathematics.I am interested to research work.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mechanics questions
-
Identify which of the following functions are eigen functions of the operator d/dx: (a) D2/dx2, (b) Cos kx, (c) K, (d) Kx, (e) e-ax2. Give the corresponding eigen value where appropriate.
-
Which of the following functions are eigen functions of 2/x2 + 2/y2? (a) e2xe3y (b) x3y3 (c) sin 2x cos 4y (d) sin 2x + cos 3y. For each eigen function, give the eigen value.
-
Which of the following functions are homogeneous? Give the degree of homogeneity. (a) x + 3yz; (b) 179; (c) x2/yz3; (d) (ax3 + bxy2)1/2
-
The table contains real data. MySpace U.S. Advertising Revenue ($ millions) (a) Determine the maximum and minimum values for each variable in the table. (b) Use your results from part (a) to find an...
-
The defender in a catalytic oxidizer manufacturing plant has a market value of $130,000 and expected annual operating costs of $70,000 with no salvage value after its remaining life of 3 years. The...
-
What notations are entered into the Posting Reference column of a ledger account?
-
Ogden, Inc., issued a \(\$ 50,000,8 \%, 10\)-year bond payable at a price of 90 on January 1, 2006. Journalize the following transactions for Ogden. Include an explanation for each entry. a. Issuance...
-
At the start of a year, the JKG Foundation received a $10 million bequest consisting of a commercial warehouse building and $5 million of cash. The foundation immediately invested the $5 million cash...
-
Question #1 (5 marks) Steam at 1.2 Mpa and 350C enters a throttling valve through a 6cm pipe with a velocity of 85 m/s. It exits the valve at a pressure of 600 kPa and a velocity of 130 m/s . The...
-
Rockwell Wholesalers, Inc. has just completed its fourth year of business in 20X1. A set of financial statements was prepared by the principal stockholders eldest child, a college student who is...
-
We define the translation operator Th by Th f(x) = f(x + h). (a) Is Th a linear operator? (b) Evaluate (T21- 3T1 + 2)x2
-
Find the eigen functions of - (h2/2m) d2/dx2. If the eigen functions are to remain finite for x , what are the allowed eigen values?
-
A plane wave in a lossless medium ( = 0, = 2 o , = 8 o ) is given as E = 60sin(t 10z)a x + 30sin(t 10z + /6)a y V/m. This wave is incident on a lossless medium ( = 0, = o , = 16 o )....
-
DELtel (Delmon Telecommunications) is a telecommunications provider who entered the competitive Bahraini market recently. The firm's core objective is to provide high quality ICT services while being...
-
The figure shows four particles, each of mass 50.0 g, that form a square with an edge length of d = 0.400 m. If d is reduced to 0.100 m, what is the change in the gravitational potential energy of...
-
You have decided that you would like to become a bookkeeper or an accountant, however you are unsure whether you have the required skills. To determine this, you must answer the following questions....
-
In the United States, it takes between 10 to 14 years to become a fully licensed medical doctor. As of late 2022, the median annual salary of a medical doctor in the United States is $228,700, which...
-
Pelverata Pickles produce gourmet pickled onions. These pickled onions are sold in 750ml jars.The following data gives information about the sales revenue and costs associated with the production of...
-
The graph shows the ratings on Yelp for Hot Dougs Restaurant. (a) Which was the most popular rating for Hot Dougs? (b) How many ratings were posted on Hot Dougs? (c) How many more 5 Star ratings are...
-
What kind of financial pressures can an LBO cause?
-
Given a collection of particles with positions ri, let the force on the ith particle, due to all the others, be Finti . Assuming that the force between any two particles is directed along the line...
-
(a) A uniform rod of length ? and mass m rests on supports at its ends. The right support is quickly removed (see Fig). What is the force on the left support immediately thereafter?(b) A rod of...
-
A small ball with radius r and uniform density rolls without slipping near the bottom of a fixed cylinder of radius R (see Fig.). What is the frequency of small oscillations? Assume r R
-
Go to: https://www.instagram.com/ryderseyewear/ on your desktop, laptop, or mobile (or a combination of all 3). You are the new Social Media Marketing Manager for Ryders Eyewear. You've been asked...
-
The current price of one share of stock is 70.00. The stock pays no dividends. The risk-free rate is 3%. One year call and put options on the stock are available for various strike prices. Mr. Smith...
-
> Characterize the marketplace. o Size, growth, demographics, structure, competition o Research the market and give an idea about each point > Describe the content of the business website > Conduct a...
Study smarter with the SolutionInn App