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Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the functions f(t) = et and g(t) = e 5t, defined on 0<t<∞, compute f * g in two different ways:
a. By directly evaluating the integral in the definition of f* g.
- S
b. By computing C¹ {F(s)G(s)} where F(s) = L {f(t)} and G(s) = L {g(t)}.
(ƒ * g)(t) = L−¹ {F(s)G(s)} = L−¹{
}
(f*g) (t)
=
Note: You can earn partial credit on this problem
dw
=
help (form)
Transcribed Image Text:For the functions f(t) = et and g(t) = e 5t, defined on 0<t<∞, compute f * g in two different ways: a. By directly evaluating the integral in the definition of f* g. - S b. By computing C¹ {F(s)G(s)} where F(s) = L {f(t)} and G(s) = L {g(t)}. (ƒ * g)(t) = L−¹ {F(s)G(s)} = L−¹{ } (f*g) (t) = Note: You can earn partial credit on this problem dw = help (form)
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