Which of the following functions are solutions of the differential equation y'' + y = sin x?

Question:

Which of the following functions are solutions of the differential equation y'' + y = sin x?
(a) y = sin x
(b) y = cos x
(c) y = 1/2 x sin x
(d) = y 1/2 x cos x

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 07:13 AM

See More Questions

Suppose the following functions are solutions of some differential equation. Graph these as functions of time and as phase-plane trajectories for 0 t 2. Mark the position at t = 0, t = 1, and t =...
Suppose the following functions are solutions of some differential equation. Graph these as functions of time and as phase-plane trajectories for 0 t 2. Mark the position at t = 0, t = 1, and t =...
Suppose the following functions are solutions of some differential equation. Graph these as functions of time and as phase-plane trajectories for 0 t 2. Mark the position at t = 0, t = 1, and t =...
The regression of the X and Y equation is Y = 48.32 -2.105X, What is the slope of the data.
Gandalf Co. purchased and installed a machine on January 1, 2014, at a total cost of $296,800. Straight-line depreciation was taken each year for four years, based on the assumption of a seven-year...
In what ways do global collaborations among top-tier universities contribute to advancements in various academic fields ?
Repeat Problem 9.4 without centering the regressors and compare the results. Which approach do you think is better? Data From Problem 9.4 Find the condition indices and the variance decomposition...
The president of Healthy Heart Exercise Equipment Co. has been concerned about the growth in costs over the last several years. The president asked the controller to perform an activity analysis to...
Assume the following: Sales price and cost of a property are $ 3 , 0 0 0 , 0 0 0 and $ 2 , 1 0 0 , 0 0 0 , respectively, so that the total profit to be recognized is $ 9 0 0 , 0 0 0 . Seller received...
Kao Tiles, Inc. is a specialized producer of ceramic tiles. Its production process involves highly skilled workers and top-quality ceramic craftsmen. Work in Process is relatively large because each...
(a) For what values of does the function y = erx satisfy the differential equation y'' + y' - y = 0?
(a) What can you say about a solution of the equation y' = - y2 just by looking at the differential equation? (b) Verify that all members of the family y = 1/(x + C) are solutions of the equation in...
Show that tan( x /3) = tan(/3 x) on a calculator.
Job #335 requires work in the following departments: Machining: 16 hours (all automated) Sanding: 4 hours (all direct labor) Painting: 8 hours (including dry time of 6 hours) The company uses...
Assume the following: Estimated direct labor hours used to calculate the predetermined overhead rate = 19,500 The manufacturing overhead applied to production = $105,000 The total direct labor hours...
It would be greatly appreciated as I am struggling to understand. Rauzman Corporation uses the FIFO method in its process costing. The following data concern the company's Mixing Department for the...
The net income for our company this year is $20,000. The beginning and ending retained earnings balances were $36,000 and $50,000, respectively. The company issued no common stock. Calculate the...
Locate a recent article (within the past 5 years) in the Journal of Accountancy regarding the significance of accounting information systems. The article can emphasize the role of the accountant,...
Assume that the distribution for mile running times is normal for members of college athletic teams nationwide, with a mean of 6.3 min and a standard deviation of 0.4 min. Using the formula for M ,...
The outer loop controls the number of students. Note that the inner loop of this program is always executed exactly three times, once for each day of the long weekend. Modify the code so that the...
The illumination of an object by a light source is related to the distance from the source by an inverse square law. Suppose that after dark you are sitting in a room with just one lamp, trying to...
Find a formula for the inverse of the function. f () = 1 2 , 0
The resistance R of a wire of fixed length is related to its diameter x by an inverse square law, that is, by a function of the form R() k - 2 . (a) A wire of fixed length and 0.005 meters in...
Suppose the correlation between the stock euro returns of Siemens and the USD/EUR exchange rate is 0.2. The standard deviation of the USD/EUR is 10% and the standard deviation of Siemens's stock euro...
list and describe the three key client-related factors that the advisor is required to consider when developing a "suitable" investment portfolio for their client. Please cite resources used
Year 1 2 3 Amount ($) 2000 3000 4000 An investment made today will pays you the above cash flows at the end of each year. If your required rate of return is 5% annual interest, how much will you pay...

Which of the following functions are solutions of the differential equation y'' + y = sin x?

Question:

Step by Step Answer:

a y sin x y cos x y sin x LHS y y sin x sin x 0 sin x so y sin ...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions