Solve Laplace Transform for sqrt(t/pi)cos(5t)

marmot
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Homework Statement


(1 pt) Given that

L(cos(5t)/(pi*t)^.5)=exp(-5/s)/sqrt(s)

find the Laplace transform of .

sqrt(t/pi)cos(5t)



Homework Equations


I honestly have no idea. There is the integral of f(t)exp(-st) though


The Attempt at a Solution



Ive tried many reasonings. One, I thought that maybe finding the laplace trans of sqrt(t/pi) and replace 1/sqrt(s) with that because I know 1/sqrt(s) is the transform pof 1/sqrt(pi*t). However this is wrong. Can someone give me any pointers? this is the only problem i can't solve in my set!
 
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Try using the convolution theorem
 

Thread 'Finding the nth roots of a complex number'

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