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Tuesday, April 14, 2015

Separation of Variables, 42

Category: Differential Equations

"Published in Newark, California, USA"

Find the general solution for


Solution:

Consider the given equation above  


Expand the given equation and group according to their variables as follows





Divide both sides of the equation by αβ 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