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Multivariable Calculus

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Moderate

Find the General Solution to: y'' + 6y' + 13y = 0

MVCALC-SAZVNG

Find the general solution to the differential equation:

$$y'' + 6y' + 13y = 0$$

A

$y(t) = e^{-3t}\cos 2t + e^{-3t}\sin 2t$

B

$y(t) = c_1 e^{-3}\cos 2t + c_2 e^{-3}\sin 2t$

C

$y(t) = c e^{-3t}\left(\cos 2t + \sin 2t\right)$

D

$y(t) = c_1 \cos (3+2t) + c_2 \sin (3+2t)$

E

None of the Above