Page 23 - LAPLACE TRANSFORM
P. 23
A B
2) f(t) = 5e + t e
3t
3 5t
3t
i) A: ʆ {5 e } = 5 [ 1 ] (refer to table)
(s−3)
= 5
(s−3)
3
ii) B: ʆ {t } = ! (refer to table)
( ) +1
= 3!
( ) 3+1
= 1X2X3
(s) 3+1
= 6
( ) 4
3 5t
ʆ {t e } = 6 change s to s= (s−5)
( ) 4
=
( − )
ʆ f(t)} = ʆ {5e + t e } = +
3t
3 5t
( − ) ( − )
A B
2t
4 -2t
3) f(t) = 3 t e + 4 e cos 7t
4
i) A: ʆ {3 t } = 3 [ ! ] (refer to table)
( ) +1
4!
= 3 [ ]
( ) 4+1
17
