a) Show that if is Laplace-transformable, then (Hint: Use the defining integral t...

a) Show that if is Laplace-transformable, then

(Hint: Use the defining integral to write

and then reverse the order of integration.)

b) Start with the result obtained in Problem 12.21(c) for and use the operational transform given in (a) of this problem to find

Reference:Problem 12.21 :

a) Given that show that

b) Show that

c) Use the result of (b) to find and