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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
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
If you add the first and second derivative equations, then we can solve for the value of c1 as follows
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If you subtract the first and second derivative equations, then we can solve for the value of c2 as follows
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)
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Substitute the values of c1 and c2 to the given equation and therefore, the final answer is
