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Thursday, March 12, 2015

Eliminating Arbitrary Constant, 12

Category: Differential Equations

"Published in Vacaville, California, USA"

Eliminate the arbitrary constant for


Solution:

Consider the given equation above


Since there are two constants in the given equation, then we need to get the derivative with respect to x twice in order to solve for the value of constants.

Take the derivative on both sides of the equation with respect to x, we have   






Again, take the derivative of the above equation with respect to x and therefore, the final answer is