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
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] Which agrees with tgotwalt1158's solution.
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..??