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Given $x''-x+x^3+\gamma x' = 0$.

Is the below correct? Can I do this? The answer is yes.

Let $x_1 = x$ and $x_2 = x'$. Then $x_1' = x_2$.

\begin{alignat}{3}

x_1' & = & x_2\\

x_2' & = & x_1 - x_1^3 + \gamma x_2

\end{alignat}

Then I have the above linear system from the given ODE.

Is the below correct? Can I do this? The answer is yes.

Let $x_1 = x$ and $x_2 = x'$. Then $x_1' = x_2$.

\begin{alignat}{3}

x_1' & = & x_2\\

x_2' & = & x_1 - x_1^3 + \gamma x_2

\end{alignat}

Then I have the above linear system from the given ODE.

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