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Thursday, July 24, 2014

Separation of Variables, 20

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 y(1 + e2x) 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