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Friday, April 17, 2015

Separation of Variables, 45

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 a² - x² as follows  




Integrate on both sides of the equation, we have

   




Therefore, the general solution is 

Thursday, April 16, 2015

Separation of Variables, 44

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 a² - x² as follows 




Integrate on both sides of the equation, we have  






Therefore, the general solution is