__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

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

Add the first and second derivative equations, we have

-------------------------------------

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