What is the impulse response for the system

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Reference no: EM13249542

Consider the following differential equation, where x(t) is the input and y(t) is the output:

d/dt y(t)+5y(t)=2x(t)

Suppose the input is x(t) = 4u(t) and the initial condition is y(0-) = 6
1. What is the impulse response for the system
2.What is the zero-input response for the system (Use the characteristic equation method, not Laplace transforms)?
3.What is the zero-state response for the system (use the convolution method)?
4.What is the total response for the system?
5.What is the natural response and what is the forced response for the system?

6.Use Laplace Transforms to find the response to the system for the input x(t) = u(t)e^(-2t) .

7.Is the system BIBO stable?

Reference no: EM13249542

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