Use the Laplace transform to solve the given initial-value problem. y - 7y' + 6y = e
Question:
Use the Laplace transform to solve the given initial-value problem.
y" - 7y' + 6y = et + δ(t - 2) + δ(t - 4), y(0) = 0, y'(0) = 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (16 reviews)
We know that etos Now put the value in equation I SLy sy0 y 7sLy 7y0 6Ly By taking laplace trans...View the full answer
Answered By
Sanjay kumar
I am graduated from NATIONAL INSTITUTE OF TECHNOLOGY JALANDHAR PUNJAB. I have more than 3 year exp. in teaching industry with most reputed coaching in india (allen,akash,fitjee,vibrant).
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
-
In problem use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms in Appendix III as needed. y' + y = t sin t, y(0) = 0 Appendix III = F(s) 1. 1 2. t...
-
Use the Laplace transform to solve the following problem: * + + 34 5 sin 6t x(0) = 0 * (0) = 0
-
Use the Laplace transform to solve the given initial value problem. For technical reasons, write for the Heaviside function that tums on at c,not ut) Y(0) - 4, Y(0) = -23
-
A Moving to another question will save this response. Question 9 1 L The absent of the logic action Release in the Resource Module means: The operator will rework the entity a. b. C. The operator...
-
If a < x < b and a < y < b, show that |x - y| < b - a. Interpret this geometrically.
-
During the past 2 years Meacham Industries issued three separate convertible bonds. For each of them, calculate the conversion price: a. A $1,000-par-value bond that is convertible into 10 shares of...
-
A propeller-driven airplane is traveling with a velocity \(V_{1}=200 \mathrm{mph}(294 \mathrm{ft} / \mathrm{s})\). The propeller diameter is \(10 \mathrm{ft}\) and it rotates at \(3000...
-
Assume currently the price of a stock is $20 and a bank sold 100,000 call options on this stock with a strike price of $15. The bank wants to use delta hedging to protect itself. The price changes...
-
A scuba diver is exploring a shipwreck at a depth of 30 meters in the ocean. The diver's tank contains 5.0 moles of compressed air at a temperature of 25C. What is the pressure of the air in the tank...
-
Now suppose that the market value (in thousands of dollars) of Fincorp's fixed assets in 2015 is $6,000, and that the value of its long-term debt is only $2,400. In addition, the consensus among...
-
Use Definition 7.1.1 to find {f (t)}. f(t) = e t+7 Definition 7.1.1 Let f be a function defined for t = 0. Then the integral
-
Use the Laplace transform to solve the given system of differential equations. dx = 4x 2y + 2U(t 1) dt dy = 3x - y + U(t dt U(t x(0) = 0, y(0) =
-
What happens when markets are behaving irrationally? Do VaR estimates hold up in these types of circumstances?
-
(a)Calculate the work done (in J) on a 1650 kg elevator car by its cable to lift it 41.5 m at constant speed, assuming friction averages 110 N. (b)What is the work done (in J) on the lift by the...
-
A solid uniform sphere (moment of inertia (2/5)MR2 ) and a uniform spherical shell (moment of inertia (2/3)MR2 ), both having the same mass and the same radius, roll without slipping along a...
-
Suppose that the current stock price is 105 per share. The current two-year risk-free interest rate is 4.5%. There are three two-year forward contracts available, with the following two- year forward...
-
Let f(x) = 3 sin x. Complete parts (a) What is the y-intercept of the graph of f? 0 (Simplify your answer. Type an integer or a decimal.) (b) For what numbers x, -x, is the graph of f increasing?
-
Discuss audit planning, the purposes for planning the audit, and identify the steps that are performed during this phase of the engagement. (10 points). 2. Bishop and Katulski, a regional accounting...
-
Princess Printing Company had the following transactions with a customer during January: (1) Performed services, such as printing flyers, and billed the customer; (2) Collected cash on account from...
-
What are the two components of a company's income tax provision? What does each component represent about a company's income tax provision?
-
For each of the following examples, identify whether the research has expressed a directional or a nondirectional hypothesis: a. A researcher is interested in studying the relation between the use of...
-
For each of the following examples (the same as those in Exercise 7.41), state the null hypothesis and the research hypothesis, in both words and symbolic notation: a. A researcher is interested in...
-
Hurricane Katrina hit New Orleans on August 29, 2005. The National Weather Service Forecast Office maintains online archives of climate data for all U.S. cities and areas. These archives allow us to...
-
Discuss the cultural differences between China and the United States. What would be the biggest adjustments I might need to make if working there as an expatriate? What are the most...
-
In her Ted talk, Kristi Rogers talks about the future of advertising and why it's crucial for ads to be relevant. She points out that even though we have lots of data and technology for digital ads,...
-
Consider ways in which an employer can make an employee feel like part of the team and/or empower them to act. More specifically, please respond to the following questions: How can an employer work...
Study smarter with the SolutionInn App