Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S (S-1)³ s²+9 O F(s)= O None of the others O 2! S (S-1) s²+9 + Give your reasons 2! (s-1)³ + S + S-5 (s-5)² +9

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 2YT
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£{f(t)} = ?
O
O
O
Let f(t)= e¹¹ 2² + cos(3 t) e5t then
O
F(s) =
F(s)=
2!
S
(s-1) (s²+9)(s−5)
F(s) =
+
2!
(S-1)³
+
2!
S
(S-1) s²+9
F(s) =
None of the others
Give your reasons
2!
(S-1)³
+
S
s²+9
+
s-5
(s-5)² +9
Transcribed Image Text:£{f(t)} = ? O O O Let f(t)= e¹¹ 2² + cos(3 t) e5t then O F(s) = F(s)= 2! S (s-1) (s²+9)(s−5) F(s) = + 2! (S-1)³ + 2! S (S-1) s²+9 F(s) = None of the others Give your reasons 2! (S-1)³ + S s²+9 + s-5 (s-5)² +9
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