(a) Use a CAS as an aid in finding the roots of the auxiliary equation for 12y...
Question:
(a) Use a CAS as an aid in finding the roots of the auxiliary equation for
12y(4) + 64y''' + 59y'' - 23y' - 12y = 0.
Give the general solution of the equation.
(b) Solve the DE in part (a) subject to the initial conditions y(0) = -1, y'(0) = 2, y''(0) = 5, y'''(0) = 0.
Use a CAS as an aid in solving the resulting systems of four equations in four unknowns.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 72% (11 reviews)
a The auxiliary equation for 12y4 64y 59y 23y 12y 0 is r4 5r3 23r 12 0 Using a CAS th...View the full answer
Answered By
James Warinda
Hi! I’m James Otieno and I'm an experienced professional online tutor with countless hours of success in tutoring many subjects in different disciplines. Specifically, I have handled general management and general business as a tutor in Chegg, Help in Homework and Trans tutor accounts.
I believe that my experience has made me the perfect tutor for students of all ages, so I'm confident I can help you too with finding the solution to your problems. In addition, my approach is compatible with most educational methods and philosophies which means it will be easy for you to find a way in which we can work on things together. In addition, my long experience in the educational field has allowed me to develop a unique approach that is both productive and enjoyable.
I have tutored in course hero for quite some time and was among the top tutors awarded having high helpful rates and reviews. In addition, I have also been lucky enough to be nominated a finalist for the 2nd annual course hero award and the best tutor of the month in may 2022.
I will make sure that any student of yours will have an amazing time at learning with me, because I really care about helping people achieve their goals so if you don't have any worries or concerns whatsoever you should place your trust on me and let me help you get every single thing that you're looking for and more.
In my experience, I have observed that students tend to reach their potential in academics very easily when they are tutored by someone who is extremely dedicated to their academic career not just as a businessman but as a human being in general.
I have successfully tutored many students from different grades and from all sorts of backgrounds, so I'm confident I can help anyone find the solution to their problems and achieve
0.00
0 Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Use a CAS as an aid in solving the auxiliary equation. Form the general solution of the differential equation. Then use a CAS as an aid in solving the system of equations for the coefficients c i , i...
-
Use a CAS as an aid in solving the auxiliary equation. Form the general solution of the differential equation. Then use a CAS as an aid in solving the system of equations for the coefficients c i , i...
-
Use a computer either as an aid in solving the auxiliary equation or as a means of directly obtaining the general solution of the given differential equation. If you use a CAS to obtain the general...
-
A health club has cost and revenue functions given by C = 10,000 + 35q and R = pq, where q is the number of annual club members and p is the price of a one year membership. The demand function for...
-
The ticker shows trades of stock in Hewlett-Packard (HPQ), Exxon- Mobil (XOM), and Chevron (CVX). HPQ 6K47.29 0.23 XOM 3K92.67 0.08 CVX 9K100.38 0.22 a. How many shares of Hewlett-Packard were...
-
When direct factory labor is assigned to jobs, there is an increase to: a. Work in Process Inventory and a decrease to Factory Labor. b. Manufacturing Overhead and a decrease to Factory Labor. c....
-
What is the implication of the statement "the books are not in balance"? What corrective action should be taken?
-
M&M Propositions how would you answer in the following debate? Q: Isnt it true that the riskiness of a firms equity will rise if the firm increases its use of debt financing? A: Yes, thats the...
-
What is the value of a 1-year, $1,000 par value bond with a 10% annual coupon if its required rate of return is 10%? What is the value of a similar 10-year bond?
-
Ned Naive operated several franchised stores, and at the home offices suggestion he consolidated the stores payroll and accounting functions with Andy the Accountant. Andy is not a CPA. Last year,...
-
Solve the given differential equation subject to the indicated conditions. 2y'' = 3y 2 , y(0) = 1, y'(0) = 1
-
Find a member of the family of solutions of xy'' + y' + x = 0 whose graph is tangent to the x axis at x = 1. Use a graphing utility to graph the solution curve.
-
Find the six sixth roots of z = 8 and graph these roots in the complex plane.
-
With an elevation of 29,029 ft, Mt. Everest is Earth's tallest mountain. At this altitude, water, which typically boils at 100.0C at sea level, boils at 71.0C. Collect and Organize the following...
-
1. For each case determine the net forces acting upon the object and determine its direction Situation A Ffrict=5 N = 3 N Fnorm Fapp = 5 N Fgray = 3 N Situation B Ffrict = 5 N = 3 N norm Fgray = 3 N
-
An aeroplane from Manchester flies south for 93km and then South - East for 175km to reach Heathrow Airport. 1) Draw a diagram including each step of the aeroplane's journey and the overall distance...
-
1. The graph below shows the velocity v(t) of an object for the time interval [0,8] seconds. Find estimates for the distance travelled using Rg, Lg, Mg and Tg. and shade the corresponding rectangles....
-
The filament in a light bulb has a diameter of 0.050 mm and an emissivity of 1.0. The temperature of the filament is 3000C. What should be the length of the filament so it will radiate 60 W of power?...
-
Flying Fish specializes in shipping fresh seafood up and down the coast. To improve service, the company wants to develop an in house application called S3 (Super Shipping System). When 53 is...
-
If you want to solve a minimization problem by applying the geometric method to the dual problem, how many variables and problem constraints must be in the original problem?
-
Investigate the impact of turning off every communication system in a firm (i.e., telephone, fax, television, radio, all computer systems). How effective and efficient would the following types of...
-
Explain why it is useful to describe groupwork in terms of the time/place framework.
-
Make a list of all the communications methods (both work and personal) you use during your day. Which are the most effective? Which are the least effective? What kind of work or activity does each...
-
Lawson Consulting had the following accounts and amounts on December 31. Cash Accounts receivable Equipment Accounts payable Common stock $ 12,000 5,900 Dividends Services revenue. 7,900 Rent expense...
-
The December 31, 2023, adjusted trial balance of Maritime Manufacturing showed the following information: Single Machinery Accumulated depreciation, machinery1 Office furniture $660,000 312,300...
-
Peterson Company Beginning of 2020 End of 2020 Direct materials inventory 21,000 23,000 Work-in-process inventory 26,000 25,000 Finished-goods inventory 13,000 20,000 Purchases of direct materials...
Study smarter with the SolutionInn App