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Saturday, March 21, 2015

Eliminating Arbitrary Constant, 21

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for

where a and b are parameters.


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  

Multiply the first derivative equation by -2a and then add it to the second derivative equation, we have 


Therefore, the final answer is