Tabla de Transformadas de Laplace - · PDF fileTabla de Transformadas de Laplace L{f(t)} = Z
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Transcript of Tabla de Transformadas de Laplace - · PDF fileTabla de Transformadas de Laplace L{f(t)} = Z
Tabla de Transformadas de Laplace
L {f (t)} = 0 e
s t f (t) dt
f(t) F (s) f(t) F (s)
1. 11
s2. tn, n = 1, 2, 3, ..
n!
sn+1
3. t, 1 < ( + 1)s+1
4. ea t1
s a
5. tn ea t, n = 1, 2, 3, ..n!
(s a)n+16. sin ( t)
s2 + 2
7. cos ( t)s
s2 + 28. sinh ( t)
s2 2
9. cosh ( t)s
s2 2 10. ea t sin ( t)
(s a)2 + 2
11. ea t cos ( t)s a
(s a)2 + 212. t sin ( t)
2 s
(s2 + 2)2
13. t cos ( t)s2 2
(s2 + 2)214. sin ( t) t cos ( t) 2
3
(s2 + 2)2
15. sin ( t) + t cos ( t)2 s2
(s2 + 2)216.
1
a b(ea t eb t
) 1(s a) (s b)
17.1
a b(a ea t b eb t
) s(s a) (s b) 18.
1
a2(1 cos (a t)) 1
s (s2 + a2)
19.1
a3(a t sin (a t)) 1
s2 (s2 + a2)20. f(t) + g(t) F (s) + G(s)
21. c f(t) c F (s) 22. f (t) s F (s) f(0)
23. f (t) s2 F (s) s f(0) f (0) 24. f (n)(t) sn F (s) sn1 f(0) f (n1)(0)
25. ea t f(t) F (s a) 26. tn f(t) (1)n dn
dsnF (s)
27. Ua(t) = U(t a)ea s
s28. f(t a) Ua(t) ea s F (s)
29. f g = t
0
f(t )g()d F (s) G(s) 30. (t c) ec s
31. f(t + T ) = f(t)
T0
es t f(t) dt
1 es T 32. t
0
f() d1
sF (s)
33.f(t)
t
+s
F () d 34. f(a t)1
aF
(s
a
)
lims+
s F (s) = f(0) lims0+
s F (s) = limt+
f(t)
(c) Departamento de Matematicas. ITESM, Campus Monterrey
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