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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.

Solution:

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