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Multivariable Calculus

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Moderate

Find the General Solution to the Equation: y'' + 2y' + y = 0

MVCALC-EVD1CE

Find the general solution to the differential equation:

$$y'' + 2y' + y = 0$$

A

$y(t) = c_1 e^{-t}$

B

$y(t) = c_1 e^{-t} + c_2 e^{-t}$

C

$y(t) = c_1 e^{-t} + c_2 t e^{-t}$

D

$y(t) = c_1 e^{-t} + c_2 t^2 e^{-t}$

E

None of the Above