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Wednesday, July 23, 2014

Separation of Variables, 19

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above 


Transfer all the terms from the right side of the equation to the left side of the equation and group as follows







In order to separate dx and dy from other variables, divide both sides of the equation by x²y² as follows
 
 
 
   
Integrate both sides of the equation, we have






Therefore, the general solution is