(a) Show that any function of the form Y = A sinh mx + B cosh mx...

Question:

(a) Show that any function of the form
Y = A sinh mx + B cosh mx
satisfies the differential equation y" = m2y.
(b) Find y = y(x) such that y" = 9y, y(0) = -4, and y (0) = 6.

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Mar 04, 2016 06:42 AM

See More Questions

(a) Show that any function of the form y = A sinh mx + B cosh mx satisfies the differential equation y = m2y. (b) Find y = y(x) such that y = 9y, y(0) = 4, and y(0) = 6.
Is there any function of the form y = 0 < a < 1, that increases more slowly than a logarithmic function whose base is greater than 1? Explain.
Find a least squares approximating function of the form r0x + r1x2 + r22x for each of the following sets of data pairs. (a) (-1, 1),(0, 3),(1, 1),(2,0) (b) (0, 0,(1,1), (2, 5), (3,10)
Why do most cities in the United States now have more radios but fewer radio repair shops than they did in 1960?
a. Outline the steps of cellular reactions in response to an antigen. b. You have developed a new treatment for type I allergic responses in your laboratory. This new therapeutic approach completely...
How could the auditor, Arthur Andersen in this case, have performed Enron's audits and not caught the fraud? Is it possible for a financial statement auditor to perform an audit in compliance with...
Draw the theoretical and actual p-V diagrams for the following : (a) Four-stroke S.I. engine (b) Four-stroke C.I. engine (c) Two-stroke S.I. engine (d) Two-stroke C.I. engine
Tides Tea Company began operations on January 1, 2015. During the first year of business, the company had the following transactions: January 18: The owners invested $ 200,000 (the par value of the...
Discuss anything you learned about personal financial management in Kindergarten through 12th grade. What do you remember? Has anyone in your life discussed financial management with you? If so, what...
Lee Nicholas has been the owner and operator of World.com Advertising since its beginning 10 years ago. The company has prospered. Recently, Nicholas mentioned that he would sell the business for the...
A cable with linear density p = 2 kg/m is strung from the tops of two poles that are 200 m apart. (a) Use Exercise 52 to find the tension so that the cable is 60 m above the ground at its lowest...
At what point of the curve y = cosh x does the tangent have slope 1?
At December 31, 2011, 30 employees of Kasten Inc. have each earned two weeks of vacation time. The employees average salary is $500 per week. Prepare Kastens December 31, 2011 adjusting entry.
A single-subject, multiple-baseline design obtains the following results regarding the number of temper tantrums three boys had before and after an intervention. How would you interpret the results...
Your company just spent $5.0 million on a state-of-the-art production facility. As a result, the marginal cost of producing the product is: MC 10+0.0001q. If the market price is $60 per unit, you...
The following table shows the observed times and ratings of two tasks at your workplace. A contingency allowance of 5% is applicable. You are required to calculate the standard time for Task A and...
Nivek had an agreement to settle a loan by making payments of $4,000 in 15 months , and $2,300 in 6 years . What single payment in 27 months would be equivalent to these scheduled payments if money...
X X X X R m COM Let'R' be the radius of the cylindrical region in which the magnetic field is assumed to exist. "E' is the induced magnetic field due to the increasing magnetic field B and the rate...
Determine each of the following as being either true or false. If it is false, explain why. For 0 < < 360, sin > 0, and tan < 0, then sec > 0.
Information graphics, also called infographics, are wildly popular, especially in online environments. Why do you think infographics continue to receive so much attention? How could infographics be...
Find the escape velocity vo that is needed to propel a rocket of mass m out of the gravitational field of a planet with mass M and radius R. Use Newtons Law of Gravitation (see Exercise 29 in Section...
Astronomers use a technique called stellar stereography to determine the density of stars in a star cluster from the observed (two-dimensional) density that can be analyzed from a photograph. Suppose...
A manufacturer of lightbulbs wants to produce bulbs that last about 700 hours but, of course, some bulbs burn out faster than others. Let F (t) be the fraction of the companys bulbs that burn out...
4. The regular air fare between Boston and San Francisco is 419. An airline using planes on this route observes that they fly with an average of 236 passengers. Market research tells the airlines'...
What is Progressive ? s proportional profit margin in 1 9 9 ? For example, for each $ 1 0 0 dollars in revenues, what is Progressive ? s profit or loss? Exhibit 5 Progressive Selected Financials ($...
What are the geopolitical ramifications of social networks in terms of their role in political activism, information warfare, and the spread of ideological extremism ?

(a) Show that any function of the form Y = A sinh mx + B cosh mx...

Question:

Step by Step Answer:

a y A sinh mx B cosh mx y mA cosh mx mB sinh mx y m 2 A sinh ...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions