# signal and Laplace Transform

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.

© BrainMass Inc. brainmass.com October 9, 2019, 10:01 pm ad1c9bdddfhttps://brainmass.com/engineering/electrical-engineering/signal-laplace-transform-205149

#### 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.

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