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110 ESSENTIALS OF APPLIED MATHEMATICS FOR SCIENTISTS AND ENGINEERS
2
2
(s − a )
(c) F(s ) =
2
2 2
(s + a )
5. Find the periodic function whose Laplace transform is
1 1 − e −s
F(s ) =
s 2 1 + e −s
and plot your results for f (t) for several periods.
FURTHER READING
M. Abramowitz and I. A. Stegun, Eds., Handbook of Mathematical Functions with Formulas,
Graphs, and Mathematical Tables. New York: Dover Publications, 1974.
V. S. Arpaci, Conduction Heat Transfer. Reading, MA: Addison-Wesley, 1966.
R. V. Churchill, Operational Mathematics, 3rd edition. New York: McGraw-Hill, 1972.
I. H. Sneddon, The Use of Integral Transforms. New York: McGraw-Hill, 1972.
