This is my fourth week of calc4, and today we had our first test - which I do not believe I did too well on. I think differential equations are interesting (even fun), but our textbook lacks examples and proper explanations for the material we cover. As a result I turn to the internet and solutions manual to try to work backwards to see what they did. This is vastly ineffecient and I feel if the book could just clearly and completely describe its processes I wouldn't have to waste time connecting the dots between several different sources. With this said, can anyone recommend a textbook? I'd prefer to not go full-blown college edition just because they tend to be outrageously priced (at least the current ones), but i don't want to stoop down to the "dummies" books just because they tend to be not as thorough. I guess what I'm looking for is some sort of review book - one that quickly and accurately describes the primary topics but skips through all the intermediate jibbajabba (so-to-speak). If anyone has any suggestions as to online resources I would be greatly appreciative - I found that "paul's math notes" were very helpful, though it only covered a few topics.