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Friday, July 4, 2014

Variable Separation, 9

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 (x + 1) tan y 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