Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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) For the functions f(t) = et and g(t) = e 3t, defined on 0 <t<∞o, compute f g in two different ways:
a. By directly evaluating the integral in the definition of f* g.
(ƒ * g)(t) = Sª
b. By computing
¹{F(s)G(s)} where F(s)
(f*g) (t) = L ¹ {F(s)G(s)} = L ¹{
dw=
=
L {f(t)} and G(s) = L {g(t)}.
}
help (formulas)
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Transcribed Image Text:) For the functions f(t) = et and g(t) = e 3t, defined on 0 <t<∞o, compute f g in two different ways: a. By directly evaluating the integral in the definition of f* g. (ƒ * g)(t) = Sª b. By computing ¹{F(s)G(s)} where F(s) (f*g) (t) = L ¹ {F(s)G(s)} = L ¹{ dw= = L {f(t)} and G(s) = L {g(t)}. } help (formulas)
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