Here is what the book lists as an answer. usly justified, and around the be ucce
ID: 2877887 • Letter: H
Question
Here is what the book lists as an answer.
usly justified, and around the be uccessiuily was the subject of considerable cont assumed the existence of functionsv tion that F(s) 0 as s 0, thereb of functions in mathematics. (This i earlier had obtained correct results i thereby raising questions as to the n 4.1 Problems Inoly the definition in (1) to find directly the Laplace trans- 9. orns of the functions described (by formula or graph) in Prob- ems I through 10. 1,f(t) = t 2, f (t) = t2 -4. f(t) = cost 6, f (t) = sin FI 10. 5, f(t) = sinh t FI Use th of the tegrat FIGURE 4.1.6. 13. f 15. f
Explanation / Answer
f(t) = sin2t
=> f(t) = (1/2) [ 1 - cos (2t) ]
Laplace of f(t) = 1/2[ 1/2 - s/(s2+4) ]