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Eliminate the arbitrary constant for
where a and b are parameters.
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 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
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but

Therefore, the final answer is