b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO complex values. 2+s F(s) = (s+4)(s + 3)²

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO
complex values.
2 +s
F(s) =
(s + 4)(s+ 3)²
c. A system is characterised by a Transfer Function as shown below. For this
system show that, the poles and the zeros can be plotted in the s-plane. Also
prove the stability of this system.
(s + 3)(s – 4)
Y(s)
(s² – 4s – 5)(s+ 2)
Transcribed Image Text:b. Prove that, the Inverse Laplace Transform of the function F(s) below has NO complex values. 2 +s F(s) = (s + 4)(s+ 3)² c. A system is characterised by a Transfer Function as shown below. For this system show that, the poles and the zeros can be plotted in the s-plane. Also prove the stability of this system. (s + 3)(s – 4) Y(s) (s² – 4s – 5)(s+ 2)
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