Mumbai University > EXTC > Sem 4 > Signals and Systems

Marks : 10M

The given system equation is

$\frac {d^2y(t)}{dt^2}+ 5\frac{dy(t)}{dt} + 6 y(t) = x(t)$

Taking Laplace transform of the above equation

$[s^2Y(s) – s y(0-) – y’(0-)] + 5[s Y(s) – y(0-)] + 6Y(s) = X(s)$ ------------ 1

Considering all the initial values zero

Therefore equation 1 becomes

$s^2 Y(s) + …