Question: Using Laplace transforms find the solution of the following Initial value problems. dy dy + 2 dy(0) = 0 dt +y = 2t :

Using Laplace transforms find the solution of the following Initial value problems. 

Using Laplace transforms find the solution of the following Initial value problems. dy dy + 2 dy(0) = 0 dt +y = 2t : y(0) = 0, dt2 dt

Step by Step Solution

★★★★★

3.41 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

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

Step: 2 Unlock
Step: 3 Unlock

Document Format (2 attachments)

PDF file Icon

6363a1ed3b574_238606.pdf

180 KBs PDF File

Word file Icon

6363a1ed3b574_238606.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

Q:

Find the solution of the following initial value problems. f'(x) = 2x - 3; f(0) = 4

Q:

Find the solution of the following initial value problems. g'(x) = 7x 6 - 4x 3 + 12; g(1) = 24

Q:

Find the solution of the following initial value problems. y(t) = 3/t + 6; y(1) = 8

Q:

Repeat Problem 21 in Chapter 1, using Laplace transforms. Use the following initial conditions for each part as follows: (a) x (0) = 4; x(0) = -4; (b) x(0) = 4; x(0) = 1; (c) x(0) = 2; x(0) = 3,...

Q:

Find the solution of the following initial value problems. y"(t) = tet, y(0) = 0, y'(0) = 1

Q:

The output function of a network is expressed using Laplace transforms in the following form. V0 (s) = 12 / s(s + 1)(s + 2) Find the output as a function of time v0(t).

Q:

Using Laplace transforms, find the currents i 1 (t) and i 2 (t) in Fig. 148, where v(t) = 390 cos t and i 1 (0) = 0, i 2 (0) = 0. How soon will the currents practically reach their steady state?

Q:

Please need an answer asap Use the Laplace transform to solve the following initial value problem: if' + Ay = cos(5t) #/(0) =0, 1/(0) -0 First, using Y for the Laplace transform of y(t), i.e., Y =...

Q:

Please need an answer asap Use the Laplace transform to solve the following initial value problem: 1/' - 47 + 4y = 0 3/(0) = -2, 1/(0) = 3 a. Using Y for the Laplace transform of y(t), i.e., Y =...

Q:

(a) Use Laplace transforms to solve the differential equation given that = 0 and d/dt = 0 when t = 0. (b) Using Laplace transforms, solve the simultaneous differential equations given that i 1 = 1,...

Q:

On June 30, Petrov Co. has $147,000 of accounts receivable. July 4 Sold $6,720 of merchandise (that had cost $4,301) to customers on credit terms n/30. 9 Sold $20,580 of accounts receivable to Main...

Q:

4. A round A36 steel test specimen has a diameter of do of 22mm and a gauge length of Lo 175mm. Take Oy = 250 MPa. (20 pts) a] If a force of 70 kN elongates the length by 1mm, what is the engineering...

Q:

which of the following describe items that systems engineers should consider regarding contracting? Select three that apply. They should focus exclusively on contract pricing since past performance...

Q:

1: Conflicts can arise between shareholders and bondholders. Outline and evaluate the causes of conflict that might arise and suggest possible solutions. Question 2: Some analysts believe that...

Q:

Ms. Marcy Van Horne's salary for 2021 is $126,000. Other Information: 1. Ms. Van Horne received a performance bonus of $25,000, one-half of which was paid in 2021, with the remaining one-half not due...

Q:

1.1 Cascade Peaks Construction: Bathroom Given the information in the scenario: i. Identify the non-conforming construction method ii. Briefly explain why the drawings do not conform to NCC's...

Q:

How are gains and losses from extinguishment of debt classified? Do you think this is the appropriate treatment? What alternative treatment(s) seem reasonable?

Q:

2. In the circuit given in Figure 2, i,(t) = 5.67cos(5t)A and v (t) = 70.71 cos(5t 60) V a) Find the equivalent load impedance. State whether the load is inductive or capacitive. b) Calculate the...

Q:

Give an example (if possible) of a series that converges, while the sequence {a k } diverges. k=1

Q:

Compute the following derivatives using the method of your choice. d/dx (x tan x )

Q:

Evaluate the following infinite series or state that the series diverges. Vk 1 k=2\ Vk

Q:

1. How does common chimpanzees use of symbols differ from language?

Q:

2. What are three likely explanations for why the bonobos made more language progress than common chimpanzees?

Q:

10. What are four hypotheses about the causes of dyslexia?