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Sunday, April 5, 2015

Separation of Variables, 33

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 (x - 1) 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 A = 1/C.