Nandana
Last Activity: 7 Years ago
hi !
you can solve this by using Gamma function
here,
F(s) =2∫0+infinete t-1/2 e-st dt [If dual Laplace transform]
take,
st =x
dt = x/s
= 2 s∫0+infinete (x/s)-1/2 e-x dx
= 2/√s∫0+infinete (x)-1/2 e-x dx
=2/√s Gamma(1/2)
=2√pi/√s
If you are thinking about single side Laplace Transform , the answer is
√pi /√s
Thank you !
good luck …
