Question: Solve the initial value problem: 1/4 y + y'+ 4y = 0, y(0) = 1/2 , y'(0) = 1

Solve the initial value problem: 1/4 y" + y\\\'+ 4y = 0, y(0) = − 1/2 , y\\\'(0) = −1

Step by Step Solution

★★★★★

3.43 Rating (150 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

14 y y 4y 01 y0 12 y0 1 Rearranging equation 1 we get y 4y 16y 02 Taking Laplace trans... View full answer

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

Students Have Also Explored These Related Mathematics Questions!

Q:

Solve the initial value problem Explain how orthogonality can help. LI 1-6)u, u(0) =(1

Q:

Solve the initial value problem by AdamsMoulton (7a), (7b), 10 steps with 1 correction per step. Solve exactly and compute the error. Use RK where no starting values are given y' = 2xy, y(0) = 1, h =...

Q:

Solve the initial value problem by AdamsMoulton (7a), (7b), 10 steps with 1 correction per step. Solve exactly and compute the error. Use RK where no starting values are given Do Prob. 2 by RK, 5...

Q:

Series Solutions-Ordinary Point: Problem 1 (1 point) Find two linearly independent solutions of y" + 8xy = 0 of the form y1 = 1 + aga3 + a626 +... yz = x + bax4 + byx7 + ... Enter the first few...

Q:

dy Solve the initial value problem da + 2 = e-*, y(0) = 0 and then find y (1) Oe-e2 C C +Find the area of the region that lies inside 1' = 1 + COS 9 all: Lola 37r Classify the polar curve: T= 3-4 sin...

Q:

MAT 275 Homework 6 Please submit your work of Homework 6 on Blackboard by Thursday, December 3rd by 11:59 pm. 2 0 1 (1) Find the eigenvalues of 0 1 0. 1 0 2 (a) 1, 2. (b) 1, 3. (c) 0, 3, 1. (d) 0, 2,...

Q:

1) Solve the initial value problem y 9y + 14y = 0, y(0) = 2, y (0) = 5. 2) Solve the initial value problem 6y y 2y = 0, y(0) = 0, y (0) = 28. 3) Solve the initial value problem 16y 24y + 25y = 0,...

Q:

This comes from the book Differential Equations and Linear Algebra 4th edition. Solve the initial value problem yy' + a: = V'mg + y\" with y(2) = 1/?E. a. To solve this, we should use the...

Q:

Use the Laplace transform method and the partial fractions expansion to solve the initial value problem y ?? ? 4y = e^t ; y(0) = 1 , y?(0) = 0 Can someone please check my work to make sure it is...

Q:

Solve the initial value problem. + 4y x dx + (4yx + siny ) dy = 0, y(1) =x X The solution is (Type an equation using x and y as the variables. Type an implicit solution. Type an ex

Q:

Your firm is considering a project which will have an intial cost of $80,000, with an eight-year life and no salvage value. The project is designed to sell a newly designed product named 'automated...

Q:

What is the financial viability of Western Union in the current international financial environment? (i.e., the last 2 to 3 years)

Q:

If you have further questions, kindly ask. This is about share options On January 1, 2019, Symphony grants its president the right to choose either 10,000 ordinary shares or to receive cash payment...

Q:

One of Arianna's co-workers repeatedly makes graphic comments about her body. He also texts nude images of himself to her cell phone. Arianna has likely experienced Quid pro que harassment. Hostile...

Q:

Does M - KOPA have the basis for a sustainable competitive advantage? If so , what is that basis? If not, why not?

Q:

Scenario 4: Dresses-We-Sell Dresses-We-Sell offers a line of upscale evening dresses in a boutique. The store charges $500 per dress and sales average 20 units per week. Currently, they order 80...

Q:

ACCT 210 Cost-Volume-Profit&Incr emental Analysis Case Study Class Section Time:0 10345 Please staple your pages togethert (1/2 point Name Name This case study may be completed individually or with a...

Q:

1. Using the information from Problem 16-4B, prepare a statement of cash flows for Lim Garden Supplies Inc. using the direct method of presenting cash flows from operating activities. 2. How does Lim...

Q:

(a) Use duality to justify the formula f(x)'(x) = f(0)'(,x) - f'(0)8(x) when f C1. (b) Find a similar formula for f(x) (n) for the product of a sufficiently smooth function and the nth derivative...

Q:

Prove that matrix multiplication is associative: A(BC) = (A B)C when defined.

Q:

Write down the reduced incidence matrix A* for the pictured structure with 4 bars and 2 fixed supports. The width and the height of the vertical sides is I unit, while the top node is 1.5 units above...

Q:

18. Which neuropeptide from the arcuate nucleus to the paraventricular nucleus is most important for satiety?

Q:

Kip is worried that he is losing his mind because he finds himself angry at a friend who died in an automobile accident. Based on Kbler-Rosss research, what might you tell him? a. Anger of this type...

Q:

14. Why do people with very low insulin levels eat so much? Why do people with constantly high levels eat so much?