Use the Laplace transform to solve the given equation. y'' - 2y' + y = e t
Question:
Use the Laplace transform to solve the given equation.
y'' - 2y' + y = et, y(0) = 0, y'(0) = 5
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (4 reviews)
Put s1 0 s1 51 4 C 1 C On equating coefficient of S 2 and ...View the full answer
Answered By
AMITA KHANDEKAR
More than 7+ years of experience, Highly motivated educator who believes in teaching in a fun way to bring the best learning outcome for the students!
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 following problem: * + + 34 5 sin 6t x(0) = 0 * (0) = 0
-
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 .
-
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...
-
In September, Larson Inc. sold 45,000 units of its only product for $438,000, and incurred a total cost of $405,000, of which $43,000 was fixed costs. The flexible budget for September showed total...
-
A project requires an immediate outflow of cash of £400,000 in return for the following probable cash flows: Assume that the state of the economy will be the same in the second year as in the...
-
As a team of three or four classmates, interview managers from three different organizations that have implemented a customer database. What data entities and data attributes are contained in each...
-
Comment on the following: An information system is a product.
-
Francis Baker owns a business called Baker Construction Co. She does her banking at the American National Bank in Seattle, Washington. The amounts in her general ledger for payroll taxes and...
-
4. Using the graphical polygon method, neatly construct a graphical solution for the three force vectors. Measure the resultant in magnitude and direction. Record your answer in Table III. Attach...
-
On 01 July 2020, Sunshine Manufacturing Ltd acquired al the issued shares of Goldcoast Lid for $ 227000 The equity of Goldcoast at this date is as folows: Share capital Retained eamings 65000 36000...
-
In problem use the Laplace transform to solve the given initial value problem. y' + 6y = e 4t , y(0) = 2
-
A 4-pound weight stretches a spring 2 feet. The weight is released from rest 18 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force...
-
Calculate the final temperature that results when (a) A 12.6 g sample of water at 22.9 C absorbs 875 J of heat; (b) A 1.59 kg sample of platinum at 78.2 C gives off 1.05 kcal of heat (c p = 0.032 cal...
-
Within six months, a 35% rise in revenue is part of the aim. Which three important business-related topics should the company plan emphasise?
-
The effective interest rate on bonds payable reflects the effective cost of borrowing at what interest rate?
-
Which of the Contributions to a Traditional IRA or a Traditional 401(k) plan is an example of what type of income? Explain.
-
For 2022, Rebecca, age 52, has $5,972 of net self-employment income from her pet grooming business. Her self-employment tax is $844. What is the maximum amount that Rebecca may contribute to a...
-
A department submitted a request for an increase in the budget. The following justification was provided The department currently has a budget of $2,684,568. The current expenses for services are...
-
Distinguish between other comprehensive income and accumulated other comprehensive income. Indicate how each is reported in the financial statements. Explain how closing entries for other...
-
Suppose that a flow network G = (V, E) violates the assumption that the network contains a path s t for all vertices V. Let u be a vertex for which there is no path s u t. Show that there must...
-
Implement the test procedure in Problem 7.52, and report a p-value (two-sided)? Ophthalmology Researchers have reported that the incidence rate of cataracts may be elevated among people with...
-
Test the hypothesis that the 5-year incidence rate of cataracts is different in the excessive-sunlight-exposure group compared with the general population, and report a p-value (two-sided). The...
-
Construct a 95% CI for the 5-year true rate of cataracts among the excessive-sunlight-exposure group? The researchers decide to extend the study to a 5-year period and find that 20 of the 200 people...
-
4 An electron emitter will be used to make a beam of electrons for a microscope. Electrons are emitted from a hot wire and accelerated between an anode and cathode plate which can be approximated to...
-
1. A current of 5.83 A is used to produce the microwave radiation in a microwave oven. If the voltage across the oven is 120V, how much does it cost to run the microwave for 12 minutes if electrical...
-
You've seen the following returns on a stock over the past five years: 6 percent, 12 percent, 20 percent, -6 percent, and 11 percent. Suppose the average inflation rate over this time period was 2.5...
Study smarter with the SolutionInn App