Weekly maths challenge...

I'm 40 now and can remember doing stuff like that well, funny enough I never had to use anything like that out of uni, I even worked for a certain F1 team doing computational 3d modelling for wing parts, everything was cfd and worked out on computers even back then.

Our brains are not needed or even trusted any more when it comes to Maths :)
 
The answer is:

'math' = American English
'maths' = British English​

And there you have it... in a nutshell.
 
Find the Laplace transform of the given function:

eq0005MP.gif
 
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