Book Recommendation for a beginner in DE

[snb]

I am a beginner in Calculus. I am currently working out Vol.1 Calculus - Tom Apostol.I want to study about Differential Equations from scratch . Could someone suggest a good book ? I basically want to get a good hold of the methods alongwith their applications in solving physics problems ( or rather "real" problems)

 

[Pyrrhus]

Boyce and DiPrima is a classic, also see Dennis Zill's book. I guess you are more interested on the theory, and classic solutions to DE equations rather than focusing on numerical methods.