9. Ecuaciones diferenciales
9.8. La transformada de Laplace
9.8.8 BREVE TABLA DE TRANSFORMADAS DE LAPLACE
| f (t) | F(t) |
| 1 |  |
|
t n (n = entero > 0) |
 |
|
t p, p > −1 |
 |
|
e at |
 |
|
t n e at (n = entero > 0) |
 |
|
cos ωt |
 |
|
sen ωt |
 |
 |
 |
 |
 |
| cosh bt |  |
| senh bt |  |
| t cos ωt |  |
| t sen ωt |  |
| sen ωt − ωt cos ωt |  |
| ωt − sen ωt |  |
 |
 |
 |
F(s − a) |
| t k f (t) |  |
| f (ωt) |  |
| u(t − τ ) |  |
 |
 |
 |
F(s) · G(s) |
| δ(t − a) |  |