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Wednesday, July 16, 2014

Separation of Variables, 16

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for 


Solution:

Consider the given equation above  


In order to separate dx and dy from other variables, divide both sides of the equation by (1 - x)y² as follows




Integrate both sides of the equation, we have  







Take the inverse natural logarithm on both sides of the equation, we have






Therefore, the general solution is