A good differential equations book

[captain]

is there any good differential book that has everything about differential equations in it. i am primarily looking for a book that is good for self teaching the subjects of: bessel's functions, legendre polynomial, hermite polynomials, and the other special functions alson with their orthogonality relations, green's functions, laplace transforms, Fourier transforms, and if possible some section on how to apply some of these methods of solving differential equations practically. i am not to picky on whether this is one or two volumes of books that cover all these materials, but i do want some or all of the answers in the back of the book so that i can check my work and go on the right track. i know this is a really long criterion of what i am looking for, but i don't know any good differential equation book(s) that cover all these topics. can anyone recommend any
text(s) that cover all these materials. thanks in advance.

 

[FlashGordy]

Riley, Hobson and Bence "Mathematical Methods for Physics and Engineering", is a good start.

Mathematical Methods in the Physical Sciences by M.L Boas is also worth a look.

Finally the 1970 edition of Mathematical Methods for Physicists, G Arfken, proved good for me and my classmates last year.

Gordon