Question: Solve (D+4D +3) y(t) = f(t) if the initial condition is y (0) = 2, y' (0) = 0, and if the input f(t)

Solve (D+4D +3) y(t) = f(t) if the initial condition is y

Solve (D+4D +3) y(t) = f(t) if the initial condition is y (0) = 2, y' (0) = 0, and if the input f(t) is a) 3e b) 2et c) t d) 10 cos 4t Note, find the total solution (y 1otal = yo tvd first, and then use the initial condition to find the constant of the zero input response.

Step by Step Solution

★★★★★

3.50 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

D 2 4D3ytft let D 2 4D30auxiliary equation then D 1 3 hence the complementary function iscomplementa... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose the initial condition is y(0) = 4. Find the solution with separation of variables and graph the result. What really happens at time t = 2? And what happens after this time? How does this...

Suppose the initial condition is y(0) = 16. Find the solution with separation of variables and graph the result. When does the solution reach 0? What would the depth be at this time if draining...

What is the shear capacity of the RC beam described below considering the steel reinforcement and using the formula: VRsyAw 2fyd cot 8/s The shear reinforcement in the beam is provided by sets of...

Write a paper in which you: Specify whether you would utilize the professional autonomy, social contract, or free-market perspective as the paradigm to design the structure of your new center. Debate...

Calculus Writing Assignment: Modeling Using Differential Equations Each portion of each problem is worth 5 points. Total Points: 75 Answer each of the problems. Make sure to show all your work....

Show alll the steps Problem 3. (Technology) Suppose a producer has access to the technology given by the Cobb-Douglass production function y = 3K1 14. a) What can you say about the returns to scale...

please do task 3,4,5 must do them i will give you like. please answer both the questions ans must give reasons for first question. i will give you a like Objective To discuss the solutions of a...

Water resources is one of the most important issues that societies face. The contaminant in a polluted river may greatly influence the river ecosystems and water managements. Thus it is necessary to...

Please help! 3.4 Projectile Motion 27 .A ball is thrown horizontally from the top of a 60.0-m building and lands 100.0 m from the base of the building. Ignore air resistance. (a) How long is the ball...

In Exercises 1 - 16, plot the point given in polar coordinates and then give three different expressions for the point such that (a) r 0 and 0 (c) r > 0 and 2 9. (20, 3) In...

Decision-makers can use this information to prioritize strategic actions and allocate resources effectively

Which of the following statements about quantitative easing (QE) and open-market purchases is true? Multiple Choice QE is similar to open-market purchases in that both are aimed at reducing...

The articles of Valley Farms Inc. inadvertently indicated that its agent for service of process was Samantha Roberts rather than Samantha Robertson. Luisa owes the corporation $30,000 and is...

1) Have you ever applied the doctrine of mean in your moral evaluation? Share the moment in your life when you applied this moral principle but if you disagree with the notion of this principle,...

We've learned how contract law in the United States has developed over time and have used several sources for learning particular rules of contract law. Which of the following best describes the most...

What does Auld say is the challenge in the Phase II design and implementation of "NSMD" certification programs?

Antonio Melton, the chief executive officer of Munoz Corporation, has assembled his top advisers to evaluate an investment opportunity. The advisers expect the company to pay $410,000 cash at the...

A company pledges their receivables so they may Multiple Choice Charge a factoring fee. Increase sales. Recognize a sale. Collect a pledge fee. Borrow money. Failure by a promissory notes' maker to...

List all 8 sub sets of the sample space S = {a, b, c}.

Determine a 99% confidence interval for the mean of a normal population with standard deviation 2.2, using the sample 28, 24, 31, 27, 22.

Derive an error bound in Prob 5 from (5).

To have an effective rate of 10%, what must be the corresponding nominal interest rate with: a. Annual compounding? b. Semiannual compounding? c. Quarterly compounding? d. Monthly compounding?

Philippe contributed $4300 to an RRSP eight years and six months ago. The money was invested in a Canadian Equity mutual fund. The investment is now worth $10,440.32. Over the entire period, what...

When he died in 1790, Benjamin Franklin left $4600 to the city of Boston, with the stipulation that the money and its earnings could not be used for 100 years. The bequest grew to $332,000 by 1890....