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Friday, March 6, 2015

Eliminating Arbitrary Constant, 6

Category: Differential Equations

"Published in Newark, California, USA"

Eliminate the arbitrary constant for


ω is a parameter; not to be eliminated.

Solution:

Consider the given equation above 


Take the derivative on both sides of the equation with respect to t, we have 






Take the derivative on both sides of the equation again with respect to t, we have  







Substitute the above equation to the given equation and therefore, the final answer is