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Multivariable Calculus

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Second Order Differential Equation, Characteristic Equation

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Which of the following is the characteristic equation for the second order differential equation:

$$y'' - y' - 2y = 0$$

A

$-2e^{rt} = 0$

B

$r^2 - r - 2 = 0$

C

$r^2 + r + 2 = 0$

D

$r^2 - r - 2e^{rt} = 0$

E

None of the Above