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Thursday, April 23, 2015

Separation of Varaiables - Arbitrary Constant, 9

Category: Differential Equations

"Published in Newark, California, USA"

Find the particular solution for

when x = 2; y = 1.


Consider the given equation above   

By separation of variables, transfer y to the right side of the equation and x to the left side of the equation as follows   

Integrate on both sides of the equation, we have 

Take the inverse natural logarithm on both sides of the equation, we have

Substitute the values of x and y in order to solve for C as follows  

Therefore, the particular solution is