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Sunday, July 6, 2014

Variable Separation, 11

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 y2(1 - x) as follows




Integrate both sides of the equation, we have









Therefore, the general solution is


You can also integrate the given equation by rewriting 1 - x as x - 1 as follows










Therefore, the general equation is