This book sucks. Yeah, I'm being really blunt here, but this is probably the second most useless math textbook I've ever used (the first being "A Friendly Introduction to Number theory"). Now, my beef is primarily with the text itself (the problems, while mostly dull, are useful for learning and applying the techniques -- so they serve their purpose well), since the explanations are hard to follow, written with gratuitously dense language, and are very murky and unclear.
For example, this book makes understanding the techniques of variation of parameters and undetermined coefficients ridiculously painful to understand. And don't even get me started on the chapter on Laplace transforms -- I could barely understand a single thing there!
However, it's not all bad. *most* of the earlier chapters' contents are pretty good. Still, there are some murky bits and random theoretical topics addressed only half-heartedly, but for the most part, they're okay.
Also, as I said before, the problems in this book aren't bad! My professor usually assigned suggested problems from the text and doing them really helped me memorize the techniques that I learned from Paul's Online Notes...erm, I mean from the chapter!
So yeah, it's an average, run of the mill, hard-to-understand textbook. If you're required to use it for a class, make sure you pay attention and not skip class thinking that you can learn from the book! If you're looking for a book for self study...well, I guess you can use it for the problems, but for the actual material, don't bother with it, just use Paul's Online Notes or ask for help on math forums or something.