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Saturday, April 4, 2015

Separation of Variables, 32

Category: Differential Equations

"Published in Vacaville, California, USA"

Find the general solution for


Solution:

Consider the given equation above   


Divide both sides of the equation by y(x + 2) in order to separate dx and dy from other variables as follows




Integrate on 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