# Solved Problems-6

Problems-6
Determine whether the following continuous-time systems are stable:
Solution
Here, let the input be bounded.
As t â†’ âˆž, y(t) â†’ âˆž [since x(t) is multiplied by t]

Hence, the system is an unstable system.
Here x(t) is multiplied by . We know that the value of sine varies between â€“1 and 1.

Hence y(t) is bounded as long as x(t) is bounded. Hence the system is stable.