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Tuesday, July 15, 2014

Variable Separation, 15

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above 

  
In order to separate dx and dy from other variables, divide both sides of the equation by x3y3 as follows





Integrate both sides of the equation, we have 









where D = 2C.

Therefore, the general solution is