Short list of LT pairs f(t)(t>0-) Type F(s) -------------------------------------- delta(t) impulse 1 u(t) step 1 / s t ramp 1 / s^2 e^-at exponential 1 / (s + a) sin(wt) sine w / (s^2 + w^2) cos(wt) cosine s / (s^2 + w^2) t*e^-at damped ramp 1 / (s + a)^2 sin(wt)*e^-at damped sine w / ((s + a)^2 + w^2) cos(wt)*e^-at damped cosine (s + a) / ((s + a)^2 + w^2)
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This page was last updated created October 17, 1996.