Question: Consider the differential equation + 4y + 4y = u where y(0) = y(0) = 0 and u(t) is a unit step. Determine the

Consider the differential equation + 4y + 4y = u where y(0)

Consider the differential equation + 4y + 4y = u where y(0) = y(0) = 0 and u(t) is a unit step. Determine the solution analytically and verify by co-plotting the analytical solution and the step response obtained with 'step' function.

Step by Step Solution

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

Students Have Also Explored These Related Electrical Engineering Questions!

Q:

Consider the differential equation dy/dx = e -x . (a) Explain why a solution of the DE must be an increasing function on any interval of the x- axis. (b) What are What does this suggest about a...

Q:

The discount yield of a 6-month T-bill with a face value of $1,000 is 4%. What is its price?

Q:

Brooke fell asleep while driving late at night. She crossed the center line and hit a truck approaching from the other direction. The following losses occurred: The driver of the truck suffered...

Q:

Based on the complaints made by KZN residents over the 'unfair distribution of load shedding it is evident that the quality of service provided by Eskom is not up to standard and it is without a...

Q:

UNIVERISTY HELPP IN HERE NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2...

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

Q:

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Q:

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Q:

CAN YOU HELPP ME WITH MY HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 +...

Q:

HOMEWORK NOT for TUTOR: dont submit if you dont do full THEM OR BAD RATE And in full explanation show all your work Solve the following system of nonlinear equations:x^2 + y^2 = 9 x^2 - y^2 = 1 Find...

Q:

Does your answer to the prior question depend on whether the investment funds come from earnings and profits or from new investment dollars? Explain.

Q:

Use the information below for Harding Company to answer the question that follow. Harding Company Accounts payable $36,371 Accounts receivable 70,470 Accrued liabilities 6,949 Cash 17,536 Intangible...

Q:

Find d y d x if y = s i n x c o s x a ) - s e c 2 x 1 c s c x b ) s e c 2 x 1 c s c 2 x c ) s e c 2 x - 1 c s c 2 x d ) s e c 2 x - 1 c s c x e ) s e c 3 x 1 c s c x Find the equation of the tangent...

Q:

Consider the following decision table, which Joe Blackburn has developed for Vanderbilt Enterprises: Which decision alternative maximizes the expected value of thepayoff? STATES OF NATURE MEDIUM S100...

Q:

Karlik Enterprises distributes a single product whose selling price is $24 and whose variable expense is $18 per unit. The companys monthly fixed expense is $24,000. Required: 1. Prepare a...

Q:

Before Gordon Corporation engages in the treasury stock transactions listed below, its general ledger reflects, among others, the following account balances (par value of its stock is $30 per share)....

Q:

The director of surgery at a local hospital is interested in understanding his unit's costs. An assistant collected data for the past 36 months on unit cost (labor, supplies, and so on) along with...

Q:

At what interest rate will $750 grow into $3,132.83 in 15 years?

Q:

How is the systemic issue of overcrowding handled in a federal prison? (75-100 words each)

Q:

Week7: Problem 1 Previous Problem Problem List Next Problem (1 point) Match the solutions to the differential equations. If there is more than one solution to an equation, select the answer that...

Q:

12:51 . LTE ( 7 X Test by Srivishnu Piratla - Issuu . . . & issuu.com READ MORE SHARE Big 10 Unit 7 Review Instructions: In the box below are the numbers 0 - 9. Complete the following and cross off...

Q:

Consider the differential equation dx/dy=-xy^2 a) S ketch a slope field for the given differential equation at the 15 points indicated. b) Let y = f ( x ) be the particular solution to the...

Q:

dy = = x 2 ( zy dx ) + y 2 ( 2 x dy 13 ( 21-1) ( 1) ) + 1( 2(1)(1) ) - 2 2 7. Consider the differential equation - dy 3x da y where y > 0. All points in the xy-plane such that dy = 1 are in what...

Q:

How to solve these two questions of calculus? 1. Consider the second-order ordinary differential equation d2y dy E+aE+Qy0, where a is a positive real number. a) For which value(s) of a does the...

Q:

You may use your calculator on the following three questions. 11. Consider a curve given implicitly by the equation (1 + x)y + xy - 85 = 0. A. Calculate " at a general point (x, y). B. Write the...