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Sunday, March 22, 2015

Eliminating Arbitrary Constant, 22

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for


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 again with respect to x for the above equation as follows   

Substitute the value of c2 to the first derivative equation, we have 

Substitute the values of c1 and c2 to the given equation and therefore, the final answer is