Show directly from the ODE (15) that the functions
Chapter 9, Problem 6(choose chapter or problem)
Show directly from the ODE (15) that the functions Hk(x)ex2/2 are mutually orthogonal on the interval (,). That is Hk(x)Hl(x)ex2dx=0 for k =l. (Hint: See Section 5.3.)
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