Very Difficulty Differential Equation

kamdad
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Very Difficulty Differential Equation ...

(x+y)dx + xy dy=0 .

Please Solve This Problem ?
 
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kamdad said:
(x+y)dx + xy dy=0 .

Please Solve This Problem ?

You need to show your attempt(s) at a solution before we can help you. Please follow the template that is provided when you create a thread.
 


Adding to what Dembadon said, we provide help, but we don't do the work for you. You can see the Rules by clicking the Rules menu item near the top of the page, especially the section titled Homework Help.
 
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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