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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
Take the derivative on both sides of the equation with respect to x, we have
Multiply the first derivative equation by -2 and add it to the second derivative equation, we have
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Substitute the value of c1 to the second derivative equation, we have
Substitute the values of c1 and c2 to the given equation and therefore, the final answer is