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AP Calculus AB/Unit 7: Differential Equations
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Properties of Separation of Variables

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Each of the following statements about the method of separation of variables is true EXCEPT:

A

The method relies on the presence of factors that allow the separation into functions solely of x and y.

B

Integration follows after the variables have been successfully separated.

C

Separation of variables involves re-arranging the equation so that all y terms (and dy) are on one side and all x terms (and dx) on the other.

D

Variables can always be separated without any restrictions regardless of their arrangement in the equation.

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