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Wednesday, July 9, 2014

Variable Separation, 13

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 x2y 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