Page 40 - LAPLACE TRANSFORM
P. 40
6
2t
2t
= e 7 − e 7
7
9) F(S) = −
+ +
-1
-1
f(t) = ʆ {F(S)} = ʆ { −10 }
2
+10 +41
A=1, B=10, C=41
2
(s ± ) + (C − ( ) )
2
(s + ) + (41 − ( ) ) = (s+ ) + (16)
2
2
2
= (s+ ) + (4)
2
2
−10
=
( + ) +
( + ) −
=
( + ) +
( + ) 15
= −
2
( + ) + ( + 5) + 4 2
( + ) 15
= − [ ]
2
( + ) + ( + 5) + 2
-5t
-5t
= e 4 − 15 e 4
34
