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понеділок, 6 квітня 2015 р.

Separation of Variables, 34

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above  


Divide both sides of the equation by cos² y in order to separate dx and dy from other variables as follows  




Integrate on both sides of the equation, we have

    






Therefore, the general solution is


where F = 2C.