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วันเสาร์ที่ 18 เมษายน พ.ศ. 2558

Separation of Variables, 46

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 xx² - a² as follows 

   

 
Integrate on both sides of the equation, we have 









Take secant on both sides of the equation, we have





Therefore, the general solution is