Question: Solve the given initial-value problem. d 2 x/dt 2 + 4x = -5 sin 2t + 3 cos 2t, x(0) = -1, x'(0) = 1

Solve the given initial-value problem.

d2x/dt2 + 4x = -5 sin 2t + 3 cos 2t,

x(0) = -1, x'(0) = 1

Step by Step Solution

★★★★★

3.48 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Given differential equation dt Now by integrating above equation wrt time 4x 5 sin ... 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

Document Format (2 attachments)

PDF file Icon

1527_605d88e18b75b_843487.pdf

180 KBs PDF File

Word file Icon

1527_605d88e18b75b_843487.docx

120 KBs Word File

Students Have Also Explored These Related A First Course in Differential Equations Questions!

Q:

Solve the following differential equations subject to the specified initial conditions (a) d2v / dt2 + 4v = 12, v(0) = 0, dv(0) / dt = 2 (b) d2i / dt2 + 5 di / dt + 4i = 8, i(0) = -1, di(0) / dt = 0...

Q:

Proceed as in Example 6 to solve the given initial value problem. Use a graphing utility to graph the continuous function y(x). (1 + x 2 ) dy/dx + 2xy = f (x), y(0) = 0, where X, f(x) = -x, -x,

Q:

Solve the equation sin 'x + sin 2x = 3

Q:

Solve the given initial-value problem. 2y" + 3y' - 2y = 10x2 - 4x - 15, y(0) = 0, y'(0) = 0 y(x) = C, cos (x ) + C,sin (x ) + x sin (x) - (x 2 cos (x) ) X Need Help? Read It Watch It

Q:

3 Systems of differential equations The five vectors vl, v2, v3, v4, and v5 are easily seen to be linearly independent. Hence, every solution x(t) is of the form x(t)=c 1 1 0 0 0 0 1 0 0 1 +c4 0 +cz...

Q:

Use the Laplace transform to solve the given initial-value problem. y' + 3y = et, y(0) = 2 y(t) = [13e -37 + ebt] X Need Help? Read It Master It [-/1 Points] DETAILS ZILLDIFFEQ9 7.2.040. Use the...

Q:

1. [1/3 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQMODAP10 2.3.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the general solution of the given differential equation. Z+y = e2x esx + C y = Give...

Q:

5. [0/1 Points] DETAILS PREVIOUS ANSWERS ZILLDIFFEQ9 4.3.011. Find the general solution of the given second-order differential equation. y" - 10y' + 26y = 0 y(x) = Ce cos (3t) + Cge sin (3t) X Need...

Q:

Solve the given initial value problem d x 4x 2 sin 2t 4 cos 2t x 0 1 x 0 1 dt x t

Q:

help with calc questions Solve the initial-value problem. dy 2 for x 2 1 with y(4) = 4 dx X The solution to the initial-value problem is y = for x 2 1.Solve the initial-value problem. dN t+4 , for t2...

Q:

Refer to Exercise 10.109. a. Determine a 95% confidence interval for the difference between the mean heights of cross-fertilized and self-fertilized Zea mays. b. Repeat part (a) for a 99% confidence...

Q:

A tank initially contains 100 litres of water in which 10 kg of a salt is dissolved. A solution containing 0.5 kg of salt per litre is poured into the tank at a rate of 1 litre per minute. The...

Q:

The brain of any computer system is ALU Memory CPU Control unit None of the above

Q:

P11.10 Generic Competition. The Federal Trade Commission seeks to ensure that the process of bringing new low-cost generic alternatives to the marketplace and into the hands of consumers is not...

Q:

Solve the given differential equation by separation of variables. 1. dy/dx = sinx 2. dy/dx = (x + 1) 2 3. dx + e 2x dy = 0 4. dy (y - 1) 2 dx = 0 5. x dy/dx = 4y 6. dy/dx + 2xy 2 = 0 7. dy/dx = e...

Q:

Find an explicit solution of the given initial-value problem. 1. dx/dt = 4(x 2 + 2), x(/4) =1 2. dy/dx = (y 2 - 2)/ (x 2 - 1), y(2) = 2 3. x 2 dy/dx = y xy, y(-1) = -1 4. dy/dt + 2y = 1, y(0) = 5/2...

Q:

Proceed as in Example 5 and find an explicit solution of the given initial-value problem. 1. dy/dx = ye -x2 , y(4) = 1 2. dy/dx = y 2 sinx 2 , y(-2) = 1/3

Q:

The balance sheet and income statement for Blossom Supply Company for the fiscal year ended June 30, 2017 is as follows. Blossom Supply Company Income Statement for the Fiscal Year Ended June 30,...

Q:

The Litzenberger Company has projected the following quarterly sales amounts for the coming year: Q1 $ 770 Q2 $ 800 Q3 $880 04 $ 960 Sales a. Accounts receivable at the beginning of the year are...

Q:

need help with question? Problem 3: [20pts] Let X be a single observation from a Cauchy(0) distribution which means that X - 0 follows a standard Cauchy distribution. Consider the testing problem Ho...