First Order Non-Linear Differential Equation (1 Viewer)

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1. The problem statement, all variables and given/known data
(x+y)dx-(x-y)dy=0


2. Relevant equations



3. The attempt at a solution
The solution is c=arctan^-1(y/x)-(1/2)*ln(x^2+y^2) but I don't know how to get the answer. If someone could explain how to solve the above DE, that would be great.
 

hunt_mat

Homework Helper
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The DE is of te form:
[tex]
\frac{dy}{dx}=\frac{x+y}{x-y}
[/tex]
Use the following substitution [tex]y(x)=xv(x)[/tex] The equation will become solvable.

Mat
 
Oh, Okay I understand it now. Is there any way to know what substitution you would need to use?
 

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