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.
-
Carla Lopez deposits $2,800 a year into her retirement account. If these funds have average earnings of 7 percent over the 40 years until her retirement, what will be the value of her retirement...
-
Diagnostic Services Inc. (DSI) is a new company. It has been in business for only one year, offering diagnostic services to physicians in the Tampa/St. Petersburg, Miami, and Orlando markets. DSI...
-
On January 1, 2014, Spalding Company sold 12% bonds having a maturity value of $1,000,000 for $1,075,814.74, which provides the bondholders with a 10% yield. The bonds are dated January 1, 2014, and...
-
what extent does the ethos of Continuous Improvement engender a mindset of proactive problem-solving and iterative optimization, thereby engendering a virtuous cycle of refinement that propels...
-
Assume that Chapman Company acquired Abernethy's common stock for $490,000 in cash. As of January 1, 2012, Abernethy's land had a fair value of $90,000, its buildings were valued at $160,000, and its...
-
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]
-
Find the constants k and m relating the secondary dendrite arm spacing to the local solidification time by plotting the following data on a log-log plot: Solidification Time (s) SDAS (cm)...
-
What are the legal standards of proof and what are each of them used for ?
-
What ethical considerations arise when policymakers attempt to address issues of ethnicity, cultural diversity, and inclusivity within diverse societies, and how can these be navigated effectively?
-
How was eugenics used by the government to make decisions regarding immigration?
-
Is critical legal theory a direct attack on the orthodoxy of legal theory?
-
What are the different roles of lawyers and judges in the context of morality and/or jurisprudence?
-
Condensed profit and cash flow information (in U.S. $ millions) for a recent year follow for three fast food companies: McDonald's Corporation, Burger King Holdings, Inc., and Wendy's/Arby's Group,...
-
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...
-
Write summary of 300 words, with references and 2 question regarding the Feminist Work and Community Education Viv Rogers The concept of community education is subject to similar confusions of...
-
Explain scanning the internal and external environment of the organization.
-
ANSWER ALL QUESTIONS 1. Illustrate and explain with examples the risk-return trade off graph of money market, foreign exchange market, bond market, equity market and derivatives market. State and...
Study smarter with the SolutionInn App