iLaplace(F(s), s)

Finds the Time function f(t) of the given Laplace function F(s).

Examples

iLaplace(10/p^(3/2), p)
iLaplace(b/sqrt(a*s), s)
iLaplace(b/(a*s)^5, s)
iLaplace(2/s+3/s^2-4/s^4, s)
iLaplace(-1/(-s-3)+(c^3)/s, s)
iLaplace(1/s+1/(s^2)-4/(s^3)-18/(s^4)+(-a)/(a^2+s^2)+(-s)/(a^2+s^2), s)
iLaplace(-288b*s^2/(b^2+s^2)^4+24b/(b^2+s^2)^3+384b*s^4/(b^2+s^2)^5, s)
iLaplace(exp(k*sqrt(s)), s)
iLaplace(sqrt(3)exp(3/s)/(7sqrt(13)sqrt(s)), s)
iLaplace(sqrt(3)exp(3/s)/(sqrt(b)s*sqrt(s)), s)
iLaplace(exp(k/s), s)
iLaplace(3*a*b*exp(a*sqrt(s)-b), s)
iLaplace(I(a/(s^3*(a^2+s^2)), s, 3), s)
iLaplace(I(a/(a^2+s^2), s, 3), s)
iLaplace(I(s/(a^2+s^2), s, 4), s)
iLaplace(d(s/(s^2+1), s, 3), s)
iLaplace(d(s/(s^2+1), s, -3), s)
iLaplace(d(F(s), s, 2)+d(G(s), s, -3), s)
iLaplace(d(F(s), s, 3)+d(G(s), s, -3)+I(H(s), s, 3), s)

References

http://mathworld.wolfram.com/LaplaceTransform.html
http://en.wikipedia.org/wiki/Laplace_transform

Related Functions

Laplace
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