First order differential equation

hotjohn
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Homework Statement


dy/dx = (x +y) / (x-y) , i am asked to find the first order differential equation , but the ans i gt is different from the ans given

Homework Equations

The Attempt at a Solution

 

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That's already a first order differential equation.
 
Simon Bridge said:
That's already a first order differential equation.
so , is my ans correct ?
 
hotjohn said:

Homework Statement


dy/dx = (x +y) / (x-y) , i am asked to find the first order differential equation , but the ans i gt is different from the ans given

Homework Equations

The Attempt at a Solution


Simon Bridge said:
That's already a first order differential equation.

hotjohn said:
so , is my ans correct ?

hotjohn, I think Simon is indirectly chiding you for not following various forum rules, the first of which is to state the problem carefully. You asked "to find the first order differential equation" and Simon is pointing out that that is what you are given. You are also encouraged to use correct English, not expressions like "ans i gt". Finally, the worst thing is to post images instead of typed equations for your solution, making it impossible to edit your work if there are mistakes. Many of the homework helpers will not try to read or respond to such posts.
 
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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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