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Differential Equations

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Moderate

Second Order Homogeneous - General Solution

DIFFEQ-GQG27J

Find the general solution of the differential equation:

$$x'''+2x''-x'-2x=0$$

A

$x(t)=c_1e^t+c_2te^{t}+c_3e^{-2t}$

B

$x(t)=c_1e^{-t}+c_2te^{-t}+c_3e^{-2t}$

C

$x(t)=c_1e^t+c_2e^{-t}+c_3te^{-t}$

D

$x(t)=c_1e^t+c_2e^{-t}+c_3e^{-2t}$