Question: The general solution to the second-order differential equation y + 6y = 0 is in the form y(z) = C cos Br + C2

The general solution to the second-order differential equation y" + 6y =

The general solution to the second-order differential equation y" + 6y = 0 is in the form y(z) = C cos Br + C2 sin Br. Find the value of B, where B > 0. Answer: B =

Step by Step Solution

★★★★★

3.51 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Given y 6y 0 we can write it as dy dx 6y 0 ... 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!

(a) Determine the net investment required for the new machine and the incremental operating cash flows associated with the new machine. Q1. Eco Cycle Berhad (ECB) is an investment holding company...

Find the explicit formula for the general solution to the linear iterative systems with the following coefficient matrices: (a) (b) (c) (d) 3 21 235 246 362 16 1-3 243

In Problem, find the general solution to each differential equation. t dy = dt/y + 1

Use Exercise 69 to find the general solution of the given equation. x + 4x + 3x = 0 Let x = x(t) be a twice-differentiable function and consider the second order differential equation x + ax + bx = 0

1 10 Find the minimum radius of convergence of a power series solution of the second order differential equation x 5 x 16 y x 5 y x 16 y 0 about the ordinary point x 0

3 5 6 Show that the second order differential equation d u dx du a x b x c x u d x dx for a x 8 with u a A and u B B can be solved by an algorithm similar to the Thomas algorithm Set du dx and...

2. Given following second order differential equation ty" (1 + t)y' + y = 0 t > 0 a) Lety1(t)= 1+: , 322(1) =et Show y1(t) and y2(t) are two distinct solutions of the above differential equation by...

Given the following second order differential equation xzy\" 3xy' + 4y = 0 x > 0 a) Let 32106) = x2 , 3/2 (x) = x2 lnx Show y1(x) and y2(x) are two distinct solutions of the above differential...

1. Evaluate the limit of (x + sin 2x)/(x - sin 2x) as x approaches 0a. None of these b. 48 C. 16 d. 32 e. 68Given the Fourier series in Cosine form, f(t) = 5 cos 40nt + cos 60nt. What is the...

Please solve question 2 2. Use the integrating factor method to solve the following first order differential equation with RHS equal to zero: 10201019 1257 (5) dy - 15x + . = 0 dx x 3. Determine the...

Multiple Choice: If the reserve ratio for all banks is 20 percent, then $100 of new reserves can generate ___ new money: A) $60 of new money in the economy. B) $250 of new money in the economy. C)...

What should Disney do to mitigate the losses stemming from the two scandals and to minimize the likelihood of such reputation-threatening incidents recurring in the future?

Calculate the productivity for the following operations: a.Three employees process 600 insurance policies in a week. They work 8 hours per day, 5 days per week.

Is there any lesson of significance that you have learned from the Goal? If so, explain the relevance of this operational phenomenon to service-based and manufacturing organizations.

The OM supervisor informs you, the researcher, that the data has a large standard deviation. What data pattern would you expect to observe once you generated a time series trend?

Kari, a member of the Wave Earbuds research team, will be presenting findings about the prototype for the new wireless earbuds during an upcoming meeting. Since this meeting will have representatives...

Using R Studio create a vector for DISNEY's closing stock price for the last 10 trading days and populate the vector with the appropriate data (from earliest to most recent). create a second vector...

1. Advertising for eyeglasses _________ (increases/decreases) the price of eyeglasses because advertising promotes _________. 2. An advertisement that succeeds in getting consumers to try the product...

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

Optimality of in Prob. 2 Choose x0 = [3 1]t and show that q = 0 and = 1 for all steps and that the Eigen values are 1, so that the interval [q , q + ] cannot be shortened in general! Experiment...

Solve y' = (x + y 4)2, y(0) = 4, by RK with h = 0.2, 7 steps.

Animism is the belief that all things, including inanimate objects, are alive. For example, children in the preoperational stage may regard a book lying on its side as tired or needing a rest, or...

Are the ages that Piaget associated with each stage of development the same in all cultures? Studies have found surprising cultural variations in the ages at which children in different societies...

1. Sensorimotor stage. This stage typically lasts from birth to about two years of age. In this stage, children understand the world through their sensory perceptions and motor behaviors. In other...