What is the best substitution for solving this ODE?

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So I am trying to figure out what substitution to use for the following ODE substitution:
x^2*y' + 2xy = 5y^3; I initially moved the 2xy to the right but to no avail because when I tried to divide through by x^2 (to clear the left), I struggle to get the y/x format on the right. If the solution is obvious, I apologize, but we get zip examples in class and apparently I'm not good enough to figure this out on my own.
 
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Try dividing by x2 and then http://en.wikipedia.org/wiki/Bernoulli_differential_equation" :wink:.
 
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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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