In this exercise we will determine I = L{t 3/2e a2/4t } and J = L{t 1/2e a2/4t }. (a)
Chapter 13, Problem 13.2.9(choose chapter or problem)
In this exercise we will determine I = L{t 3/2e a2/4t } and J = L{t 1/2e a2/4t }. (a) Determine a relationship between I and J by substituting the expression u = s1/2t 1/2 (a/2)t 1/2 into eu2 du = . (b) Determine a relationship between I and J by introducing the change of variables sw = (a2/4)t 1 into the definition of I. (c) Derive that I = (2/a)ea s and J = ( /s)ea s using parts (a) and (b).
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