Laplace-transformer

The exercise was created 2023-01-03 by superludvig. Question count: 17.

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Bf(t)+Yg(t) BF(s)+YG(s)
1 1/s
e^(bt) 1/(s-b)
sin(bt) b/(s^2+b^2)
cos(bt) s/(s^2+b^2)
f(bt) F(s/b)/b
e^(bt)f(t) F(s-b)
f´(t) sF(s)-f(0)
f´´(t) s^2F(s)-sf´(0)-f(0)
integral(0,t)f(t)dt F(s)/s
tf(t) -F´(s)
t^ke^-bt k!/((s+b)^(k+1))
f(t)*g(t) F(s)G(s)
θ(t) 1/s
f(t-T)θ(t-T) e^(-sT)F(s)
d(t) 1
t^k k!/(s^(k+1))

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https://spellic.com/eng/exercise/laplace-transformer.11328345.html