Show that, under the hypothesis of Corollary 11.2, if y2 is the solution to y = p(x)y'

Question:

Show that, under the hypothesis of Corollary 11.2, if y2 is the solution to y" = p(x)y' + q(x)y and y2(a) = y2(b) = 0, then y2 ≡ 0.

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

Step by Step Answer:

Related Book For book-img-for-question

Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

See More Books

Question Posted: Mar 22, 2016 03:09 AM

See More Questions

Do the calculations for the proof of Corollary 4.11. Corollary 4.11 The inverse for a 2 Ã 2 matrix exists and equals if and only if ad - bc 0. a b c d d -b ad bcc a
Independent random samples of sizes n1, n2, . . . , and nk from k normal populations with unknown means and variances are to be used to test the null hypothesis Ï21 = Ï22 = ·...
Show that under the null hypotheses of Section 16.3, T+ is a value of a random variable whose distribution is symmetrical about n(n + 1)/4 .
A force of 24N is applied to a wrench which is 0.4m in length. If the force is applied at an angle of 15 degrees, find the torque in N-m. Round off to two decimal places.
In September 1963, the first issue of the comic book X-MEN was issued. The original price for the issue was 12cents. By September 2013, 50 years later, the value of this comic book had risen to...
Name a few methods used by the robber barons to create monopolies (industrial warfare). How did railroads have an effect on the growth of cities? How did they abuse this power?
Specifically, we examine the 2004 Survey of Consumer Finances (SCF), a nationally representative sample that contains extensive information on assets, liabilities, income, and demographic...
Why is it advantageous to budget for capital outlays apart from operating expenditures?
Two rubber balls undergo an elastic collision. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 10 kg and is stationary. What is the final...
On October 1, 2020, Mary Graham organized a computer service company called Echo Systems. Echo is organized as a sole proprietorship and will provide consulting services, computer system...
Write the second-order initial-value problems (11.3) and (11.4) as first-order systems, and derive the equations necessary to solve the systems using the fourth-order Runge-Kutta method for systems.
Consider the boundary-value problem Y" + y = 0, 0 x b, y(0) = 0, y(b) = B. Find choices for b and B so that the boundary-value problem has
Magnetic-Optical Corporation offers a variety of share-based compensation plans to employees. Under its restricted stock award plan, the company on January 1, 2011, granted 4 million of its $1 par...
More than one out of every _______black Americans is poor.
The two biggest benefit programs aimed solely at the poor are _________ and _________.
The richest 1 percent of our population owns over ________ percent of our wealth.
The dividing line between the 1 percent and the 99 percent is an annual income of ______. a) $100,000 b) $400,000 c) $1 million d) $5 million e) $1 billion
Who would most likely be poor? a) a person over 65 b) a black child c) a Hispanic child d) a college dropout
Express 0.0434 < p < 0.217 in the form of p + E. In express the confidence interval using the indicated format. (The confidence intervals are based on the proportions of red, orange, yellow, and blue...
5. How much would you need to deposit in an account now in order to have $5,000 in the account in 5 years? Assume the account earns 2% interest compounded monthly. 10. You deposit $300 each month...
Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the...
Consider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutting out a square from each of the four corners and bending up the...
A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to...
Tim Drinking, Inc. used a predetermined overhead allocation rate to allocate of indirect costs to the Filling Department and the Packaging Department journal entry to record the allocation of...
What are the key principles of management, and how do they contribute to effective organizational practices?
Discuss the impact of globalization on small businesses in developing countries. Analyze the advantages and disadvantages of globalization for small businesses, and provide recommendations for...

Show that, under the hypothesis of Corollary 11.2, if y2 is the solution to y = p(x)y'

Question:

Step by Step Answer:

Since y2a 0 and y2b 0 t...View the full answer

Numerical Analysis

Students also viewed these Numerical Analysis questions