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Question

# Solve the given system of differential equations.$x _ { 1 } ^ { \prime } = 2 x _ { 1 } , \quad x _ { 2 } ^ { \prime } = x _ { 2 } - x _ { 3 } , \quad x _ { 3 } ^ { \prime } = x _ { 2 } + x _ { 3 }.$

Solutions

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We are given the following system of differential equations

\begin{align*} x_1'&=2x_1,\\ x_2'&=x_2-x_3,\\ x_3'&=x_2+x_3. \end{align*}

We need to solve it.

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