A Refresher from Calc I to DiffEQ?

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I need some help, guys. I've taken Calc I -> DiffEQ, but I don't remember everything well. My NukeE courses are growing increasingly difficult (using calculus/diffeq that I forgot how to use). What would you guys recommend doing as a refresher to pick it all back up?! Thank you!
 
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if you're going for analytical, rudimentary solutions google "pauls notes" and go from there. he covers everything from single variable to vector calculus, ordinary differential equation and partial diffeq!

he provides some theory but nothing too rigorous (and from what it sounds like you don't want that route anyway).

good luck!
 
Thank you, joshmccraney. I have examined pauls notes before. They are pretty helpful too! Sometimes discerning the material can be tough though.
 
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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