Question: A system with input r(t) and output y(t) is given by the following differential equation dy(t) dt +2 dy(t) dt + y(t) = x(t).

A system with input r(t) and output y(t) is given by the

A system with input r(t) and output y(t) is given by the following differential equation dy(t) dt +2 dy(t) dt + y(t) = x(t). Assume initial rest, that is, y(-x) = 0 and dy(t)/dt = 0. Also assume that the system is causal. Find the impulse response of this system. Next, find the output of this system when input is cos(xt). It=-

Step by Step Solution

★★★★★

3.39 Rating (146 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The detailed ... 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!

Find f (t) if F(s) is given by the following functions F(s) = e-2s [s2 + 2s +3 / s(s + 1) (s +2)] F(s) = (s + 2) e-4s/ s2(s + 1)

A persons demand for gizmos is given by the following equation: q = 6 0.5p + 0.0002I Where, q is the quantity demanded at price p when the persons income is I. Assume initially that the persons...

The demand for organic carrots is given by the following equation: QOD = 75 - 5 PO + PC + 2I Where PO is the price of organic carrots, PC is the price of conventional carrots, and I is the average...

We have simplified things here by separating friction (Sec. 9.7) from heat addition (Sec. 9.8). Actually, they often occur together, and their effects must be evaluated simultaneously. Show that, for...

Develop the state equations for the following differential equation. d2 y(t) dt 40() + 3y() = 2() dt

Consider a particle of mass $m$ moving in two dimensions in the $x-y$ plane, constrained to a rail-track whose shape is described by an arbitrary function $y=f(x)$. There is no gravity acting...

Consider a small satellite in a noncircular orbit about a spherical body with much larger mass M, for which the external gravitational field is Schwarzschild. The satellite will follow a timelike...

Linear algebraic equations can arise in the solution of differential equations. For example, the following differential equation derives from a heat balance for a long, thin rod (Figure) : ? d 2 T/dx...

Dr. Sherry Bird is employed by Dental Associates. Dental Associates recently installed a computerized job-order costing system to help monitor the cost of its services. Each patient is treated as a...

Dr. Alyx Hemmings is employed by Mesa Dental. Mesa Dental recently installed a computerized job-order costing system to help monitor the cost of its services. Each patient is assigned a job number...

CP13-2 Analyzing Comparative Financial Statements Using Selected Ratios [LO 13-4, LO 13-5] The comparative financial statements prepared at December 31 for Golden Corporation showed the following...

This module aims to teach you to break down many engineering or everyday life processes into smaller problems. Models can then be created based on conservation of mass, momentum and energy (heat)....

You are performing an earned value analysis (EVM) on your 28-week project. The project was scheduled to be 50% complete at this time. You have finished 14 of the 32 deliverables (all of equal value)....

13. Which stress value(s) will be nonzero at location J? A. Ozz B. Oyy X C. Ozz D. y E. Ozz F. Oyz X y A M Cross Section at A-A Y Z A B 0/1 points

Question on setting up supplier records(Q=115.F.M.CS.S.Q1) After you have finished setting up the supplier records for Hi-Fi Way, Edgar asks you to perform the following steps in MYOB and then...

Which forms of speculation or postponement is each of the following? (Explain in full) 1) A computer hardware company is producing parts of the computer and ship. them to market but only assemble...

Whitman Corporation, a merchandising company, reported sales of 10,100 units for May at a selling price of $774 per unit. The cost of goods sold (all variable) was $482 per unit and the variable...

SBS Company have received a contract to supply its product to a Health Care Service Hospital. The sales involve supplying 1,250 units every quarter, the sales price is RM 85 per unit. The Client...

Solve the initial-value problem in Problem 20 when a cross section of a uniform piece of wood is the triangular region given in the following figure. Assume again that k = 1. How long does it take to...

Determine whether the given differential equation is exact. If it is exact, solve it. (x - y 3 + y 2 sin x) dx = (3xy 2 + 2y cos x) dy

Solve the given differential equation. (y 2 + 1 dx) = y sec 2 xdy

Corruption and bribery are common in some countries. Would you avoid locating in such a country, or locate there and deal with it? If the latter, how would you deal with it?

A job has an 85 percent learning curve. Estimate the time that will be needed to complete the fifth unit of the job. The time for the first unit is unknown. However, units 2 through 4 took a total of...

Rework Problem 4b using this additional information: Expansion would result in an increase of $ 70,000 per year in transportation costs, subcontracting would result in an increase of $ 25,000 per...