impulse response

Thread Starter

hamza324

Joined Jul 10, 2011
33
i want to know the impulse response to the following

4y''(t) = 2x(t) - x'(t)

I am able to solve this problem without the x'(t) on the right hand side but i am not sure how to deal with x'(t). The way i was told to this is to integrate it through "0 negative " to " 0 positive" thanks
 

t_n_k

Joined Mar 6, 2009
5,447
Another approach might be using the Laplace Transform



or



For which the impulse response is the inverse transform of H(s), giving the output y(t) as ....[for t>=0]

\(y(t)=\frac{t}{2}-\frac{1}{4}\)

Which agrees with tgotwalt1158's solution.
 

Thread Starter

hamza324

Joined Jul 10, 2011
33
i solved another question for impulse response
y'' + 9 y= -6x'

after doing laplace i get

Y = -6s/(s^2 + 9)


and so y(t) =-6 cos3t .

is it correct..??
 
Top