Solve Differential Equation with Notation: Reduction of Order Help

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I need to solve the following differential equation, And am pretty sure it will require the use of Reduction of Order but have NO clue how do deal with the notation on the RH side, any help Would Be Greatly appreciated.
 

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What's the question about the notation on the RH side? It looks clear enough to me. It's the derivative of y squared over x times (-1). And it does look like substituting y'=u is a good reduction of order first step. So y''=u'. Please continue.
 
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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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