Page 37 - LAPLACE TRANSFORM

5
-5t
-5t
= 3 e 4 − e 4
4

5) F(S) = +

+ −

-1
-1
f(t) = ʆ {F(S)} = ʆ { 6 + 12 }
2
2
3 +9 −64

6 1 1
= [ ] + 12[ ]
2
2
3 ( +3) − 8 2

6 √3 12 8
= [ ] + [ ] √3 x √3 = 3
2
2
2
3.√3 ( + (√3) ) 8 − 8 2

3
2
= √3 + ℎ 8
√3 2

6) F(S) = −

+

-1
-1
f(t) = ʆ {F(S)} = ʆ { 5 −6 }
2
+7

5 6 √7 x √7 = 7
= −
2
2
+ (√7 ) 2 + (√7 ) 2

6 √7
= 5 [ ] − [ ]
2
2
+ (√7 ) 2 √7 + (√7 ) 2

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