Page 105 - LAPLACE TRANSFORM

Exercise (Laplace Transform – page 20)

Question 1:

Answer

a) F(s) = 50
( −2)

b) F(s) = 100
( +4)

c) F(s) = 200
( −6) 2

Question 2:

Answer

a) F(s) = 2 + 4
2
( +4) + 6 2

b) F(s) = 5 + 40
2
( +3) 2 ( − 6) +16
c) F(s) = 10 + 20 + 150
2
2 ( −2) +25

d) F(s) = 7 +28 + 120
2
( +4) +25 ( −6) 6

Exercise (Inverse Laplace Transform - page 35)

Answer

4
a) f(t) = −4
4

7
b) f(t) = 6 5 + 6 + 6
6

15
1
c) f(t) = 5 Sin √2 t – –
3
4 √2 2 2

18
-4t
-4t
d) f(t) = −4 e √5 + e √5
√5

-3t
-3t
e) f(t) = 2 (e cos 6t + e sin 6t)

2 -2t
f) f(t) = 4 cos 5t + sin 5t + 6t e

91