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Saturday, April 18, 2015

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

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