(a) Let f(t) be the function 6 e7t+6 +2 te-6t. Suppose that F(s) is the Laplace transform of f(t). Enter the expression in s representing the function F in Maple syntax. F(s) = 6 s (b) Let F(s) be the function s²+4 Suppose that f(t) is the inverse Laplace transform of F'(s). + 2e6 s-7 Enter the expression in t representing the function f in Maple syntax. f(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(a) Let f(t) be the function 6 e7t+6 +2te-6t.
Suppose that F(s) is the Laplace transform of f(t).
Enter the expression in s representing the function F in Maple syntax.
F(s) =
a
6 s
(b) Let F(s) be the function
s²+4
Suppose that f(t) is the inverse Laplace transform of F(s).
+
2e6
S-7
Enter the expression in t representing the function f in Maple syntax.
f(t) =
Transcribed Image Text:(a) Let f(t) be the function 6 e7t+6 +2te-6t. Suppose that F(s) is the Laplace transform of f(t). Enter the expression in s representing the function F in Maple syntax. F(s) = a 6 s (b) Let F(s) be the function s²+4 Suppose that f(t) is the inverse Laplace transform of F(s). + 2e6 S-7 Enter the expression in t representing the function f in Maple syntax. f(t) =
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