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Saturday, December 28, 2013

Variable Separation, 6

Category: Differential Equations, Integral Calculus

"Published in Newark, California, USA"

Find the general solution for 


Solution:

Consider the given equation above


Transpose xy to the right side of the equation, we have



Arrange the above equation by separation of variables, we have




Integrate on both sides of the equation, we have










Take the inverse natural logarithm on both sides of the equation




where K = eC. Therefore, the general solution is