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Multivariable Calculus

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Find the General Solution of 3y'' + 2y' - y = 0

MVCALC-OXBEDE

Find the general solution to the differential equation:

$$3y'' + 2y' - y = 0$$

A

$y(t) = c_1 e^{-t} + c_2 e^{t/3}$

B

$y(t) = c_1 e^{-t/3} + c_2 e^{t}$

C

$y(t) = c (e^{-t} + e^{t/3})$

D

$y(t) = e^{-t} + c e^{t/3}$

E

None of the Above