Tabla transformada laplace PDF

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Formula de calculo para las transformadas de Laplace....

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1.

Tabla: Transformada de Laplace

1. L{f (t) = 1} = F (s) =

1 , s

s>0

1 , s−a n! 3. L{f (t) = tn } = F (s) = n+1 , s 2. L{f (t) = eat } = F (s) =

s>a s > 0 ; n = 1, 2, 3, · · ·

a , + a2 s 5. L{f (t) = cos(at)} = F (s) = 2 , s + a2

4. L{f (t) = sen(at)} = F (s) =

s>0

s2

s>0

6. L{f (t) = eat sen(bt)} = F (s) =

b , ( s − a ) 2 + b2

s>a

7. L{f (t) = eat cos(bt)} = F (s) =

s−a , (s − a)2 + b2

s>a

n! , s > a ; n = 1, 2, 3, · · · (s − a)n+1 a , s > |a| 9. L{f (t) = senh(at)} = F (s) = 2 s − a2 s , s > |a| 10. L{f (t) = cosh(at)} = F (s) = 2 s − a2 Z t Z t f (α)g(t − α)dα } = L{f (t)}L{g(t)} 11. L{ (f ∗ g)(t) = f (t − α)g(α)dα} = 8. L{f (t) = tn eat } = F (s) =

0

0

12. L{f (n (t)} = sn F (s) − sn−1 f (0) − s(n−2) f ′ (0) − · · · − f (n−1 (0) ;

1

F (s) = L{f (t)}...