Problem 1.   Boas Problem #1, Ch.12.11, page 586. 

Problem 2.   Boas Problem #9, Ch.12.12, page 590.

Problem 3.   Boas Problem #3, Ch.12.13, page 591.

Problem 4.   Boas Problem #1, Ch.12.14, page 592. (Hint: Use BesselJ[n, x] in Mathematica.

Problem 5.   Boas Problem #1, Ch.12.15, page 593. (Hint: See proof of Eq.15.1 in notes.)

Problem 6.   Boas Problem #5, Ch.12.16, page 594, and compare your solution to that of Eq.17.8 in terms of Airy functions.