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) |
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t p, p > −1 |
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e at |
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t n e at (n = entero > 0) |
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cos ωt |
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sen ωt |
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cosh bt | ![]() ![]() |
senh bt | ![]() ![]() |
t cos ωt | ![]() ![]() |
t sen ωt | ![]() ![]() |
sen ωt − ωt cos ωt | ![]() ![]() |
ωt − sen ωt | ![]() ![]() |
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F(s − a) |
t k f (t) | ![]() ![]() |
f (ωt) | ![]() ![]() |
u(t − τ ) | ![]() ![]() |
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F(s) · G(s) |
δ(t − a) | ![]() ![]() |