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Wednesday, December 25, 2013

Variable Separation, 5

Category: Differential Equations, Integral Calculus

"Published in Suisun City, California, USA"

Find the general solution for


Solution: 

Consider the given equation above


The given equation can be written as




Arrange the above equation by separation of variables, we have




Integrate on both sides of the equation, we have






Therefore, the general solution is


You can also eliminate their fraction by multiplying both sides of the equation by their Least Common Denominator (LCD) which is 4 as follows





Note: A constant multiply by another constant or coefficient is still a constant.