Solve the following homogeneous linear ordinary differential equations. What is the dimension of the solution space? (a)
Question:
(a) u" - 4u = 0
(b) u" - 6u' + 8u = 0
(c) u‴ - 9u′ = 0
(d) u"" + 4u‴ - u" - 16u′ - 12u = 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
a ux c 1 e 2x c 2 e 2x dim 2 b u...View the full answer
Answered By
Hamza Amjad
Currently I am student in master degree program.from last two year I am tutring in Academy and I tought many O/A level student in home tution.
4.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Solve the following inhomogeneous linear ordinary differential equations: (a) u - 4u = x - 3 (b) 5u" - 4u + 4u = ex cos a, (c) u" - 3u = e3x
-
Solve the following homogeneous linear systems. (a) x + y - 2z = 0 -x + 4y -3z = 0 (b) 2x + 3y - z = 0 -4x+3y-5z = 0 x - 3y + 3z = 0 (c) -x+y-4z = 0 - 2x + 2y - 6z = 0 x + 3y + 3z = 0 (d) x +2y-2z +...
-
Solve the following homogeneous systems of linear equation by any method. 3x1 + x2 + x3 + x4 = 0 5x1 - x2 + x3 - x4 = 0
-
50 Kg of ammonium sulphate (NH4)2SO4 and 30 Kg of urea CO(NH2)2 fertilizers were applied in two equal sizes of plots A and B to enrich their nitrogen content. Show by working which plot was more...
-
What is a monopoly? What is market power? How do these concepts relate to each other?
-
A single-cylinder air compressor of mass \(100 \mathrm{~kg}\) is mounted on rubber mounts, as shown in Fig. 3.62. The stiffness and damping constants of the rubber mounts are given by \(10^{6}...
-
Find the natural frequencies of the stepped bar shown in Fig. 12.38 with the following data using consistent- and lumped-mass matrices: \(A_{1}=0.001 \mathrm{~m}^{2}, A_{2}=0.0006 \mathrm{~m}^{2}\),...
-
The following are audit procedures from different transaction cycles: 1. Use audit software to foot and cross-foot the cash disbursements journal and trace the balance to the general ledger. 2....
-
Company XYZ is a wholesale club chain store, such as Costco or Sam's Club. You, as a data analyst, are asked to perform the following data clean up, data transformation, and data calculation tasks in...
-
5,000 kg/h of water will be heated from 20C to 35C by hot water at 140C. A 15C hot water temperature drop is allowed. A number of double-pipe heat exchangers, each connected in series, will be used....
-
Let u = x + iy be a complex solution to a real linear system. Under what conditions are its real and imaginary parts x, y linearly independent real solutions?
-
Define L[y] = y" + y. (a) Prove directly from the definition that L: C2[a, b] C0[a, b] is a linear transformation. (b) Determine ker L.
-
The 300-g disk shown spins at the rate 1 = 750rpm, while axle AB rotates as shown with an angular velocity 2 of 6 rad/s. Determine the dynamic reactions at A and B. 200 m
-
What is an accounting management system?
-
Simmo Education had cost of goods sold of $42 000 for the year. The beginning inventory was $40 000 and the ending inventory was $61 000. The beginning accounts payable was $35 000 and the closing...
-
In terms of the accounting equation, where are changes in revenue and expense accounts recorded?
-
Tube Tunnel has the following information in its Cash account for July: i Paid employees: $18 000 ii Paid suppliers: $8000 iii Cash sales: $44 000 iv Collected interest: $3200 v Paid interest: $2000...
-
Use the following spreadsheet to work Problems . The spreadsheet provides data on oil and gasoline: Column A is the year, column B is the price of oil (dollars per barrel), column C is the price of...
-
A large winery in Kelowna has a number of grapevines and fruit trees. The company develops wine on-site. Required: 1. Identify the types of biological assets that would exist at the vineyard and...
-
Identify Thank You mission, strategy and core competencies. Identify strategy changes that have taken place at Thank You since its founding in 2008. Your answer must in text references and must be...
-
(Lamperti20) An urn contains exactly 5000 balls, of which an unknown number X are white and the rest red, where X is a random variable with a probability distribution on the integers 0, 1, 2, . . . ,...
-
Referring to Exercise 6.1.30, find the variance for the number of boxes of Wheaties bought before getting half of the players pictures and the variance for the number of additional boxes needed to...
-
Let X be a random variable with range [1, 1] and let fX (x) be the density function of X. Find (X) and 2(X) if, for |x| < 1, (a) fX (x) = 1/2. (b) fX (x) = |x|. (c) fX (x) = 1 |x|. (d) fX (x) =...
-
I am working in aMobile company that is seeking to introduce a novel mobile application that implements a monthly subscription fee for its users. After conducting a comprehensive analysis, the...
-
Tatiana has recently entered a profile into the Express Entry (EE) system as a candidate under the Canadian Experience Class (CEC). She has also met the requirements to qualify under the FSW. Tatiana...
-
Columbia Corp. is a young, rapidly growing company that manufactures computer accessories and specialized components for networked computer workstations. It has some unique products and a strong...
Study smarter with the SolutionInn App