Use the Laplace transform to solve the given system of differential equations. dx = 4x 2y
Question:
Use the Laplace transform to solve the given system of differential equations.
Transcribed Image Text:
dx = 4x – 2y + 2U(t – 1) dt dy = 3x - y + U(t dt U(t – x(0) = 0, y(0) =
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 73% (15 reviews)
To use the Laplace transform to solve the given system of differential equations we need to take the ...View the full answer
Answered By
Anik Kumar Bosu
I am expert in Maths, Physics, Chemistry and Biology. I also teach student from 3 years. Students becomes satisfied by my teaching. So, do not worry.
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 the Laplace transform to solve the differential equation D2v(t)/dt2 + 2dv(t)/dt + 10v(t) = 3 cos 2t subject to v(0) = 1, dv(0)/ dt = 2 .
-
Use the Laplace transform to solve the given equation. y' + 2y = f(t), y(0) = 1, where f(t) is given in Figure 7.R.10. f() 4 3.
-
Use the Laplace transform to solve the given initial-value problem. y' - 3y = (t - 2), y(0) = 0
-
using System; using System.Collections.Generic; using System.ComponentModel; using System.Data; using System.Drawing; using System.Linq; using System.Text; using System.Threading.Tasks; using...
-
If x; y; z R and x < z, show that x < y < z if and only if |x - y| + |y - z| = |x - z|. Interpret this geometrically.
-
Susan Michaels is evaluating the Burton Tool Companys common stock and warrants to choose the better investment. The firms stock is currently selling for $16 per share; its warrants to purchase three...
-
The axial-flow pump shown in Fig. 12.19 is designed to move \(5000 \mathrm{gal} / \mathrm{min}\) of water over a head rise of \(5 \mathrm{ft}\) of water. Estimate the motor power requirement and the...
-
H.J. Heinz Company uses standards to control its materials costs. Assume that a batch of ketchup (6,000 pounds) has the following standards: The actual materials in a batch may vary from the standard...
-
Leilani works in Tech's apparel store during Sock 4. On Thursday, she moves a 86.5-N crate of Spartan wear across the floor at a constant speed by pulling with a force of 49.2 N at an angle of 24.3...
-
Given an array, A, of n 2 unique integers in the range from 1 to n, describe an O(n)-time method for finding the two integers in the range from 1 to n that are not in A. You may use only O(1) space...
-
Use the Laplace transform to solve the given initial-value problem. y" - 7y' + 6y = e t + (t - 2) + (t - 4), y(0) = 0, y'(0) = 0
-
In problem use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. Theorem 7.2.1 10s [s + 16]
-
Which of the following one-year, $1000 bank loans offers the lowest effective annual rate? a. A loan with an APR of 6.1%, compounded monthly b. A loan with an APR of 6.1%, compounded annually, with a...
-
A computer system has 1 MB of byte-addressable main memory and 8 kB of 2-way set associative cache memory. One cache line is 4 bytes. (i) Determine the number of cache lines. [1 mark] (ii) Determine...
-
In the scenario, the NP's failure to recognize the potential for suicide in an adolescent resulted in permanent disability: Provide 2 peer-reviewed references that are lessthan 5 years old and from a...
-
1. How much power in is required to move an object with a force of 234 pounds,84 feet in 2.2 seconds 2. If we lift a box weighing 126 pounds 3.4 feet off of the floor, how much work have we done in...
-
A pitcher throws a 0.70 kg ball of clay at a 4.0 kg block of wood. The clay sticks to the wood on impact, and their joint velocity afterward is 1.2 m/s. What was the original speed of the clay (in...
-
Choose three of the following scientists (or teams of scientists) from the list below, indicate which field they worked in and describe their contributions . cite your sources and include in-text...
-
Fleming's Logistics Consulting has the following transactions during August. Aug. 1 Received $16,750 cash from the company's owner, Barbara Fleming. 4 Paid rent in advance for three months, $3,900. 5...
-
Ashlee, Hiroki, Kate, and Albee LLC each own a 25 percent interest in Tally Industries LLC, which generates annual gross receipts of over $10 million. Ashlee, Hiroki, and Kate manage the business,...
-
Researchers often use z tests to compare their samples to known population norms. The Graded Naming Test (GNT) asks respondents to name objects in a set of 30 black-and-white drawings. The test,...
-
In your own words, define the word effectfirst as you would use it in everyday conversation and then as a statistician would use it.
-
In an exercise in Chapter 7, we asked you to conduct a z test to ascertain whether the Graded Naming Test (GNT) scores for Canadian participants differed from the GNT norms based on adults in...
-
How can you use your understanding of diversity to develop your relationship-building skills in your healthcare career?,Explain ways in which religion can help or hinder individuals as they build...
-
A Quality Management System, often called a QMS, is a set of internal rules that are defined by a collection of policies, processes, documented procedures, and records. This system defines how a...
-
1. Mr. Alvis, the director of Match Lighting, has found himself with sorts of emails including customer complaints about incorrect order deliveries, periodic reports on products, stock, and sales,...
Study smarter with the SolutionInn App