Validity of Separation of Variables
Which of the following statements best explains why separation of variables is a valid method for solving a separable differential equation?
A
It transforms the differential equation into an algebraic equation by canceling out differentials.
B
It differentiates both sides to eliminate the integration constant.
C
It ignores the constant of integration, simplifying the equation.
D
It rewrites the equation so that each variable appears with its differential, allowing integration of both sides independently.
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