Question

having trouble with this one: laplace transform of
\[\Large f(t)=e^{t^2}=?\]

Answer 1

@SithsAndGiggles

Answer 2

yup i'll tag again
@SithsAndGiggles

Answer 3

\[\Large F(s)=\int\limits_{0}^{\infty}e^{t^2}*e^{-st}dt\]
i have no idea what to do next

Answer 4

Just wanted to help you , although i have no idea what that means .
See if this helps
https://www.khanacademy.org/math/differential-equations/laplace-transform/laplace-transform-tutorial/v/laplace-transform-2

Answer 5

It doesn't look like this has a real result: http://www.wolframalpha.com/input/?i=LaplaceTransform%5Be%5E%28t%5E2%29%2Ct%2Cs%5D

Answer 6

yeah i dont know what it means
is it some kind of error signal

Answer 7

and what does
\[erfi(s/2) \] means

Answer 8

It's a weird nonelementary function: http://mathworld.wolfram.com/Erfi.html

Answer 9

wow i've never seen that lol :)

Answer 10

and they are saying that it also have a derivative and a integral

Answer 11

is it somehow related with gamma function?

Answer 12

Tch, I couldn't tell you :/

I haven't learned about that stuff.

Answer 13

no problem u've helped a lot

Answer 14

and if it is \[e^{-t^2}\] then there is a erfi

Answer 15

There is no laplace transform of e^t^2 because it grows more rapidly than e^-t decays.