__Category__: Differential Equations"Published in Newark, California, USA"

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 c

_{1}to the second derivative equation, we have
Substitute the values of c

_{1 }and c_{2}to the given equation and therefore, the final answer is