Question: Solve the following differential equation. Specify what the transfer function and the impulse response are: y ( t ) + 2 y ( t )

Solve the following differential equation. Specify what the transfer function and the impulse response are:
y(t)+2y(t)+y(t)=u(t)-u(t),y(0)=0,y(0)=0,y(0)=1
where u(t) is the input and y(t) is the output.
Solve the following differential equation.

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 a system S, with input u(t) and output y(t) whose behavior is modeled by the following differential equation: (t) + 7y(t) + 10y(t) = 10u(t) (a) Find the impulse response (h(t)), step...

Q:

Qu Solve the following differential equation by Laplace transforms. The function is subject to the given conditions y' + 10y = e - 10t . y(0) = 1 y

Q:

4.22 1. The differential equations for the suspension shown below with input displacement u(t) are 10 100z 10w 100w (a) Assume all initial conditions are zero and convert the equations above to...

Q:

Solve the following differential equation under the provided conditions. Plot pole locations (roots of denominator of LT), what do they tell you about stability? Plot the response in MATLAB, use...

Q:

Remember the Taylor series expansion? It turns out that we can use the Taylor series around point a = t- 1 to predict the future based on time t - 1: 1 (t) = f(t) = f(a) + '(a)(t a) + " (a)(t a) +...

Q:

write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations....

Q:

Use the result in Q4 to find the response, c(t), to an input, r(t) = u(t), a unit step, assuming zero initial conditions. Find the transfer function, G(s) = C(s) / R(s), corresponding to the...

Q:

An implicit representation of a physiological system (i.e. in the form of a differential or\ difference equation) is often easier to derive from first principles than an explicit representation of\...

Q:

An implicit representation of a physiological system (i.e. in the form of a differential or\ difference equation) is often easier to derive from first principles than an explicit representation of\...

Q:

I want an answer in 2h or less please = 4. A continuous-time, causal and stable LTI system has a transfer function of the form [3 marks each] S-1 H(S) (s + 1)2 a. Draw the pole zero-plot for H(s) and...

Q:

The trend in state income taxation is to move from an equal three-factor apportionment formula to a formula that places extra weight on the sales factor. Several states now use sales-factor-only...

Q:

How could Terry have better prepared for the presentation? You just had terry, one of your team members from marketing, give a presentation to the engineering group about the new product and its...

Q:

Rob, aged 5 6 , recently suffered a stroke, which prompted him to take an early retirement. He owns a 1 0 - year renewable terr life insurance policy ( acquired at age 4 6 ) that is coming up for...

Q:

How would you generalize the impact parents/caregivers have on the "normal" development of children? Then, in consideration of "Family-related and disease-related variables appeared to influence...