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Saturday, March 14, 2015

Eliminating Arbitrary Constant, 14

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for


Solution:

Consider the given equation above


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




  
Since there are two constants in the given equation, then we need to take the derivative with respect to x twice. Again, take the derivative on both sides of the equation with respect to x, we have






Substitute the value of c2 to the first derivative equation and therefore, the final answer is