Page 31 - LAPLACE TRANSFORM
P. 31
3) F(S) =
+
-1
-1
f(t) = ʆ {F(S)} = ʆ { 1 }
2
+9
= 1
2
+3 2
1
= [ 3 ]
2
3 +3 2
1
= Sin 3t
3
4) F(S) = +
+
-1
-1
f(t) = ʆ {F(S)} = ʆ { +2 }
2
+ 5
= + 2 √5 x √5 = 5
2
2
+(√5) 2 +(√5) 2
2 √5
= √5 + [ ]
2
√5 +(√5) 2
2
= √5 + Sin √5
√5
5) F(S) =
( − ) +
-1
-1
f(t) = ʆ {F(S)} = ʆ { 3 }
2
( −7) + 9
= 3
2
( −7) + 3 2
7t
= e Sin 3t
25
