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Wednesday, July 2, 2014

Variable Separation, 8

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(x2 + 1) 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