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Saturday, August 2, 2014

Separation of Variables - Arbitrary Constant, 4

Category: Differential Equations

"Published in Newark, California, USA"

Find the particular solution for


in which y = 0 when x = 0.

Solution:

Consider the given equation above  


In order to separate dx and dy from other variables, divide both sides of the equation by as follows




Integrate both sides of the equation, we have 






Substitute the value of x and y in order to get the value of C as follows 





Therefore, the particular solution is