Solve y'' + y = 0, y (0) = 0, y'(0) = 1 by RKN with h

Question:

Solve y'' + y = 0, y (0) = 0, y'(0) = 1 by RKN with h = 0.2, 5 steps. Find the error.

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

Step by Step Answer:

Related Book For book-img-for-question

Advanced Engineering Mathematics

ISBN: 978-0471488859

9th Edition

Authors: ERWIN KREYSZIG

See More Books

Question Posted: Nov 07, 2010 06:29 AM

See More Questions

Solve y" + y = 1 - t 2 / 2 ? if 0 < t < and 0 if t ?? ??; here, y(0) = 0, y' (0) = 0. This models an undamped system on which a force F acts during some interval of time (see Fig. 59), for instance,...
Solve Prob. 5 by the explicit method with h = 0.3 and k = 0.01. Do 8 steps, compare the last values with the Crank-Nicolson 3S- values 0.107, 0.175 and the exact 3S-values 0.108, 0.175.
Describe the process of testing software developed using both top-down and bottom-up development order. Which method results in the fewest resources required for testing? What types of errors are...
Go to the Web page of a major bank such as TD Commercial Banking (www.tdcommercialbanking.com/index.jsp) or Scotiabank (www.scotiabank.com/ca/en/0,4,00.html). How do these banks help corporations to...
Refer back to Problem 10-7. Suppose that the toll bridge can be redesigned such that it will have a (virtually) infinite life. MARR remains at 10% per year. Revised costs and revenues (benefits) are...
Show that the stochastic process \[e^{\int_{0}^{t} c(s) d B_{s}-\frac{1}{2} \int_{0}^{t} c^{2}(s) d s}\] is a martingale for any deterministic function $c(t)$. Does the result change if \(c(t,...
A 5-month-old female, presents to the emergency department (ED) with respiratory distress, hypoxia, and fever. Her parents state that she has had mild cold symptoms for a few days. She has fed poorly...
A cylindrical metal can with radius r (in cm) and height h (in cm) is to be designed to hold a volume of 100 cubic centimeters. What value of r minimizes the amount of metal (in square centimeters)...
Company X-Co has a $10,000,000 gain from exercising stock options. What topic and subtopics would the researcher highlight in the left navigation panel to discover the relevant authority to resolve...
Apply the multistep method in Prob. 23 to the initial value problem y' = x + y, y(0) = 0, choosing h = 0.2 and doing 5 step. Compare with the exact values.
Solve y'1 = 5y1 + 3y2, y'2 = 3y1 5y2, y1 (0) = 2, y2 (0) = 2, by RK for systems, h = 0.1, 5 steps.
Consider again the problem described in Exercise 6, and assume the same prior distribution of . Suppose now, however, that instead of selecting a random sample of eight items from the lot, we perform...
In addition to timely repayment of the loan, what other duties does a mortgagor assume?
What are the principal advantages and disadvantages of being a limited partner?
What special rights are normally carried by preferred shares?
What are the main options open to a second mortgagee when the mortgagor defaults?
When a purchaser acquires land from the mortgagor and defaults, whom may the mortgagee sue? Why? Are there any exceptions to this rule?
According to the logic of the J-curve analysis, a country that revalues its currency should have an improvement in the value of its current account balance in the months immediately after the...
Explain five different cases of income exempt from tax with clear examples.
Who benefits from racism and sexism?
Using b = u p and (23), show that (when > 0) (23 ** ) (s) = (u p p') = (r' r'' r''')/ 2 .
Evaluate C F(r) dr counterclockwise around the boundary C of the region R by Greens theorem, where F = [6y 2 , 2x - 2y 4 ], R the square with vertices (2, 2), (2, -2)
Evaluate the surface integral s (curl F) n dA directly for the given F and S. F = [-13 sin y, 3 sinh z, x], S the rectangle with vertices (0, 0, 2), (4, /2, 2), (0, /2, 2)
Chapman Company obtains 100 percent of Abernethy Company's stock on January 1, 2023. As of that date, Abernethy has the following trial balance: Items Debit Credit Accounts receivable Accounts...
Ida Company produces a handcrafted musical instrument called a gamelan that is similar to a xylophone. The gamelans are sold for $738. Selected data for the company's operations last year follow:...
Boswell Company manufactures two products, Regular and Supreme. Boswell's overhead costs consist of machining, $1800000; and assembling, $900000. Information on the two products is: Regular Supreme...

Solve y'' + y = 0, y (0) = 0, y'(0) = 1 by RKN with h

Question:

Step by Step Answer:

y sin x The computatio...View the full answer

Advanced Engineering Mathematics

Students also viewed these Numerical Analysis questions