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วันเสาร์ที่ 19 กรกฎาคม พ.ศ. 2557

Separation of Variables, 17

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 cos² x cos² y as follows


 



Integrate both sides of the equation, we have 


 

Therefore, the general solution is