Determine whether each of the following LTIC systems is i) BIBO stable, ii) asymptotically stable, and iii) marginally stable. E
xplain why or why not. (a) d 3y dt3 − 3 dy dt − 2y(t) = df dt − f(t) (b) d 3y dt3 − 3 dy dt − 2y(t) = df dt − 2f(t) (c) d 2y dt2 + 3 dy dt + 2y(t) = df dt + f(t) (d) d 2y dt2 + 2 dy dt + 2y(t) = f(t) (e) d 2y dt2 + 2y(t) = f(t)
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Answer:
The solutions are π/4, 3π/4,5π/4,7π/4
Step-by-step explanation:
The given equation is
6sin²(x) = 3
Divide by 6 to get:
This implies that;
If
in the first quadrant
in the second quadrant.
If
in the third quadrant