 or or taken why

Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

Enter the associated with your account, and we'll email you a link to reset your password.
Don't know
Know
remaining cards
Save
0:01
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size     Small Size show me how

# Laplace Transforms

### Laplace Transformations.

TermDefinition
L  1/s
L [ t^n ] (n!) / [s^(n+1)]
L [sin (at)] a/ [ s^2+a^2 ]
L [cos (at)] (s-a)/ [ s^2+a^2 ]
L [ sinh (at) ] a/ [ s^2 - a^2 ]
L [cosh (at)] (s-a)/ [ s^2 - a^2 ]
L [e^(at) sin (bt)] a/ [ (s-a)^2+b^2 ]
L [e^(at) cos (bt)] (s-a)/ [ (s-a)^2+b^2 ]
L [e^(at) sinh (bt)] a/ [ (s-a)^2- b^2 ]
L [e^(at) cosh (bt)] (s-a)/ [ (s-a)^2- b^2 ]
L [ t^(n ) * e^(at) ] (n!) / [ (s-a)^(n+1)]
L [U_c (t)] = L [U (t-c)] Heaviside Function [e^(-cs) ]/s
L[U_c (t) * f(t-c) ] [e^(-cs) * F(s)] where F(s) is the integral of f(s) in terms of s
L[e^(ct) * f(t) ] F(s-c) where F(s) is the integral of f(s) in terms of s
L[ (1/t)* f(t) ] Integral of F(u) in terms of u with top bound infinity to bottom bound s.
L [f(ct)] (1/c)*F(s/c)
L [( δ-c)] Dirac Delta Function e^(-cs)
Created by: syncbeat72v2