Modeling with differential equations question answer missing

pokerfan91
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Iv'e got an exam in like 2 weeks and i don't have any material on how to do this question so i know the forum says i should make an attempt at the question but i really don't have a clue where to start could someone run me through it please so i will be able to answer it and others like it in the exam thanks

find the general soultion of the equation
x2y'=y2+3xy+x2
 
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Dividing the equation by x^2 will give you a form of a DE which should be recognisable.
 
brilliant why don't i see these things
 

Thread 'Finding the nth roots of a complex number'

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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