- #1
zhaniko93
- 13
- 0
Homework Statement
I'm given the transfer function of LTI system is [itex]\frac{1}{s^2 + 4}[/itex]
Homework Equations
H(s) = [itex]\frac{Y(s)}{X(s)}[/itex]
The Attempt at a Solution
first of all I had to find diff. equations of the system. I found that it's y'' + 4*y = x;
Then they asked to find such initial conditions that if I applied unit impulse at input, I got y=0 for time t>=0; I took Laplace transform of diff. equation with initial conditions and got that s^2Y - sY(0) - Y'(0) + 4Y = 1; I want y=0, so Y=0 and 1+sY(0) + Y'(0) = 0; I'm wrong in something...