HELP First Order DE using Substitution Method

danerape
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I feel as if I have made the correct substitution, what am I missing? See Attachment.

Thanks,

Dane
 

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Any ideas at all?
 
danerape said:
Any ideas at all?

v=y/x looks like a better bet to me. If you divide the numerator and denominator of the RHS by x you can express it completely in terms of v. Should be easy to separate.
 
Thanks,

Dane
 
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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