DET: Module 3&4 Flashcards
(15 cards)
1
Q
L[1]
A
1/s
2
Q
L[e^at]
A
1/s-a
3
Q
L[t^n]
A
n!/(s^n+1)
4
Q
L[sinat]
A
a/(s^2+a^2)
5
Q
L[cosat]
A
s/(s^a+a^2)
6
Q
Multiplication by e^at: L[e^at.f(t)]
A
F[s-a)
change s -> s-a
7
Q
Multiplication by t^n: L[t^nf(t)]
A
(-1)^nd^n/ds^n[F(s)]
8
Q
Division by t: L[f(t)/t]
A
∫F(s) ds
limits from s to ∞
9
Q
L[u(t-a)]
A
e^-as/s
10
Q
L[δ(t-a)]
A
e^-as
11
Q
L[u(t-a)f(t-a)]
A
e^-asF(s)
12
Q
Laplace of periodic func
A
1/1-e^-sT ∫ e^-st f(t)dt
13
Q
L[f’(t)]
A
sL[f(t)] - f(0)
14
Q
L[f’‘(t)]
A
s^2L[f(t)] - sf(0) - f’(0)
15
Q
L[ ∂u/∂t ]
A
sU(x,s) - u(x,0)
