Not sure what this question is asking about.

Question

My lecturer ask me to answer this question but i can't seem to find any explanation on google after searching for quite some time.

Answer 1

Assuming that your circuit is driven with a sinusoidal input, then the steady-state response will be some form of a sinusoid. However, while the system is still adjusting to the new input (think, a car driving over a pot hole), its response will have certain characteristics (bouncing up and down for a while) that do not last indefinitely. These characteristics are called the transient response, whereas the response characteristics that last indefinitely (for the duration of the steady input) are called the steady-state response.

Answer 2

In steady state, it is oscillatory in this case and stays on forever, or until you switch the power off:

It is of the form $ A cos(... t) +B sin(... t) $

Transient means it is going to stay on only for a short time like the exponential decay as in this case:

$C e^{(-...t)} $

(...) is some constant.