Purchase Solution

signal and Laplace Transform

Not what you're looking for?

Ask Custom Question

Please see the attached file.

1. Determine if the linear time-invariant continuous-time system defined is stable, marginally stable, or unstable.
s - 1/(s^2 +4s + 5).

2. Determine if the signal given is linear, time invariant, causal, and/or memory-less:
y(t) = d^x(t).

3. Determine if the signal given is linear, time invariant, causal, and/or memory-less:
y(t) = [sin(6t)]x(t).

3. Use the Laplace Transform to compute the solution to the differential equation defined by: dy/dt + 2y = u(t) where y(0) = 0.

Attachments
Purchase this Solution
Solution Summary

The solution investigates the properties of the signal, such as linear, time invariant, causal, or memory-less. It also shows how to solve differential equation using Laplace transform. See attachments.

Purchase this Solution
Free BrainMass Quizzes
Air Pollution Control - Environmental Science

Working principle of ESP

Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.

View More Free Quizzes
Related BrainMass Solutions

  • Waveforms : Fourier and Laplace Transforms

    Waveforms and Fourier and Laplace Transforms are investigated. Laplace transforms for this signal is dervived. The simplest form for Fourier transforms are determined.

  • Laplace transform and z-transform

    The solution provides examples fo finding the Laplace transform and z-transform of the signal. The solution is well presented and detailed.

  • Laplace and Fourier transform of a Signal

    448883 Laplace and Fourier transforms Any causal signal x(t) having a Laplace transform with poles in the open-left s-plane (i.e., not including the j? axis) has, as we saw before, a region of convergence that includes the j?

  • Signals and Systems

    Compute the Laplace transform of e^(-10t)cos(3)u(t) . 2. Compute the z-transform of the discrete time signal defined by: x[n] = δ[n] + 5δ[n - 1] 3. Compute the inverse Laplace transform of X(s) = (s+2) / (s^2+7s+12) . 4.

  • Laplace transform of signal

    104650 Find the Laplace transform of the following signal examples See attached file for full problem description. 1. cos(200*pi*t) 2. sin(200*pi*t) 3. sqrt(2) & cos(200*pi*t - pi/4) 4.

  • Laplace heat transfer equations for thermocouple

    img002.jpg) This problem is about Laplace transformation of the ordinary differential equation (ODE). So we will need to first transform given ODE into Laplace format and then take inverse Laplace to get the solution.

  • Fourier series, Fourier Transform and Partial Differential Equation

    Find the laplace transform of ()()2sintftetut−=. 12. Find the inverse laplace transform of ()24212sseeFSs−−−+=. 13. Find the inverse laplace transform of ()()()()2224211sFSss+=++. Eigenvalue and Eigenvector 14.

  • Interpreting a Step Signal

    To me, it looks like a ramp, a step, and then a ramp with neg amplitude. I can do the rest of the problem, i.e. the laplace transform and the other parts. Thanks. Please see the attached file for details. What you got is correct.

  • Vertical Take Off and Landing Aircraft

    a = 0.5; b = 10; c =3 Ka = 1; Kb = 17; Kc = 1 u(t) = step distance = 0.1 r(t) = step input = 1 Solve parts a, b and c by both methods: 1) Classical Method using Laplace Transform, Final Value Theorem and Routh's Stability Criterion. 2)

View More Related Solutions