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## 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....