a) Use formula (c) of Table XllI .2 to prove that if a set of functions tPk{t) are orthonormal over the infinite interval -00 b) Apply this result to the functions of Problem 14.15 to prove that the...

a) Use formula (c) of Table XllI .2 to prove that if a set of functions tPk{t) are orthonormal over the infinite interval -00 <><><>

b) Apply this result to the functions of Problem 14.15 to prove that the functions

Problem 14.15

Let ^ke^-t/2
u(t). Use the Gram-Schmidt procedure to derive the first few functions of the following series of orthonormal functions over the interval 0 <><>