# Math Help - steady state

1. ## steady state

find steady state equation

d4/dt4 y(t) + 4 d3/dt3 y(t) + 3 d2/dt2 y(t) + 5 d/dt y(t) + y(t) = r(t)

y(t) output
r(t) input

thanks

2. Originally Posted by islamatef
find steady state equation

d4/dt4 y(t) + 4 d3/dt3 y(t) + 3 d2/dt2 y(t) + 5 d/dt y(t) + y(t) = r(t)

y(t) output
r(t) input

thanks
This does not have a steady state output unless $r(t)$ eventually is constant, then the steady state output is $\lim_{t\to \infty}r(t)$.

CB