Question: a) The Gamma function is defined as I(t ) : = e u 'du, t > 0. Show that C{t} = T(r +t) where C{t

a) The Gamma function is defined as I(t ) : =e "u 'du, t > 0. Show that C{t"} = T(r +t)

a) The Gamma function is defined as I(t ) : = e "u 'du, t > 0. Show that C{t"} = T(r +t) where C{t" } is the Laplace transform of y = t.Using Laplace transform, find the solution of the following integro-differential equation y' = 2t - y(T)e-(t-T)dr, y(0) = 0. olution b

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