D.E: Is there a summarized list of all of the D.E. methods?

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On our first test there were about 4 different methods. This test there are about 4-5. There are 4 tests in the class. I'd like to get ahead. The pattern seems to be that you first identify the method that needs to be used, then simply preform the method steps. It is that strange of a thing to want an all-on-one-or-two-pages list/flow-chart for solving any of the D.E.'s you'd come across in an undergraduate D.E. class? Does this exist somewhere because I've tried googling for it and can't find it :/
 
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I don't know if it will fit on one or two pages but Paul's Online Notes have all of the main methods and examples to follow.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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