this question doesn't make any sense
rephrase it and then I might be able to help you
Hey:
In my tutorial question, I firstly had to prove that the Laplace transform of a differential equation was:
L(t) = n!(s-1)^n
---------
s^n+1
This I have proved, now I need to find the Laplace transform of t*L(t) and then have to deduce the value of:
Integral between 0 and inf of : e^-2t * t*L(t)
I'm really stuck, sorry I can't do the Laplex stuff, hope you can understand it.
You're right, I missed out the first part..
We start with the differential equation.
t f ''(x) + (1-t)f ' (x) +nf = 0
You first had to take the laplace transform of that and prove L(t) above, which i did., now I need to do t L(t), I presume you times this by t and do the same process?
if F(s) is the laplace transform of f(t) then there is an identity that says:
the laplace transform of t*f(t) is -F'(s)
using this identity and the integral definition of the laplace transform (with s=2) I think you should be able to solve your problem. That is if I have guessed the problem correctly.