Discuss why it makes intuitive sense to presume that the linear differential equation y'' + 2y' +
Question:
Discuss why it makes intuitive sense to presume that the linear differential equation y'' + 2y' + 4y = 5 sin t has a solution of the form y = A sin t + B cos t, where A and B are constants. Then find specific constants A and B so that y = A sin t + B cos t is a particular solution of the DE.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 54% (11 reviews)
Since the first and second derivatives of sin t and cos ...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Consider the linear differential equation y'" + 5y" + 3y' - 9y = 0. (a) Write the equation in the form L[y] = 0 for a differential operator L = p(D). (b) Find a basis for kerL, and then write out the...
-
Show that y = 2/3ex + e-2x is a solution of the differential equation y' + 2y = 2ex.
-
(a) Show that the substitution z = 1 / P transforms the logistic differential equation P' = kP(1 - P / M) into the linear differential equation z' + kz = k / M (b) Solve the linear differential...
-
3) Sauseda Corporation has two operating divisions-an Inland Division and a Coast Division. The company's Customer Service Department provides services to both divisions. The variable costs of the...
-
SportChek is Canada's largest retailer of sporting goods and sports apparel and footwear, with over 130 stores across Canada. Assume one of the SportChek stores reported current assets of $88,000 and...
-
TRM Consulting Services currently has the following capital structure: Source Book Value Quantity Common Stock........................ $ 8,500,000..................... 350,000 Preferred...
-
What is belt drive ? Describe briefly types of belts.
-
The comparative balance sheets for 2021 and 2020 and the statement of income for 2021 are given below for Wright Company. Additional information from Wright?s accounting records is provided also....
-
introduction to finance210: what would be the OCK( PVIFA) 109,591.29 . number to get Using Break-Even Analysis: Consider a project with the following data: Accounting break-even quantity = 13,700...
-
Consider the following information of Jones Corporation over four years: Required: 1. Calculate the missing amounts for each year. 2. What does this information indicate about the company? 2019 2018...
-
Given that y = sin x is an explicit solution of the first order differential equation dy/dt = (1 y 2 ) Find an interval I of definition.
-
The given figure represents the graph of an implicit solution G(x, y) = 0 of a differential equation dy/dx = f (x, y). In each case the relation G(x, y) = 0 implicitly defines several solutions of...
-
The sum of the first two terms of a geometric progression is 10. The sum to infinity of the geometric progression is 18. Work out the two possible values of the common ratio, r.
-
Case: Tomasella v. Nestl USA, Inc CREATE A POSTER FOR THE PRESENTATION CREATE A POSTER FOR THE PRESENTATION CREATE A POSTER FOR THE PRESENTATION INCLUDE PICTURES Introduction 3 main points of the...
-
1. A car accelerates from rest to 16.21 meters per second in 7.66 seconds. What is the car's rate of acceleration in meters per second squared? Round your answer to two decimal places. 2. If the...
-
The Sheridan Law Office has the following monthly telephone records and costs: Calls Costs 4,100 $3,135 3,000 2,700 4,300 3,370 6,700 4,883 4,400 3,435 3,800 2,935 Identify the fixed and variable...
-
The following transactions occurred during 2 0 2 4 for the Beehive Honey Corporation: February 1 Borrowed $ 1 9 , 0 0 0 from a bank and signed a note. Principal and interest at 1 2 % will be paid on...
-
A 6 kg medicine ball sits on the weight room floor at rest. How hard must someone kick the ball if the coefficient of static friction is 0.08?
-
A flagpole of length 12 m and mass 30 kg is hinged at one end, where it is connected to a wall as sketched in Figure P8.40. The pole is held up by a cable attached to the other end. Find the tension...
-
The time to assemble the first unit on a production line is 10 hours. The learning rate is 0.94. Approximately how long will it take for the seventh unit to be assembled? The number of hours needed...
-
In problem use the Laplace transform to solve the given initial-value problem. y" - 4y' + 4y = t 3 , y(0) = 1, y'(0) = 0
-
In problem use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the integral before transforming. Theorem 7.4.2 If f(t) and g(t) are piecewise continuous on [0, ) and of...
-
In problem use Theorem 7.1.1 to find [1]{f(t)}. f(t) = (2t - 1) 3 Theorem 7.1.1 1 (a) L{1} = - n! n = 1, 2, 3, ... =-- s - a (b) L{t"} (c) L{e"} k (d) L{sin kt} (e) L{cos kt} 5? + k? s? + k? k (f)...
-
Consider the stock of Aya Company, which will pay an annual dividend of $3 one year from today. The dividend will grow at a constant rate of 3%, forever.The market requires a 12% return on the...
-
Analyze the video presented on the link below. Also, please discuss or explain the video and relate it to personal finance. https://www.youtube.com/watch?v=nFY0HBkUm8o
-
After the company issues an initial public offering and they desire to offer additional shares, one option is the seasoned equity offering. What are the differences between a convertible bond and a...
Study smarter with the SolutionInn App