3. Consider the system X = 3x1 + 4x2 X = -2x1 – 3x2. (a) What is the classification of the equilibrium x1 = 0, x2 = 0 for this system? (b) Write the general solution to the system.

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Chapter2: Second-order Linear Odes
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### Problem 3: Consider the System

The system of equations given is:

\[ x_1' = 3x_1 + 4x_2 \]
\[ x_2' = -2x_1 - 3x_2 \]

#### (a) Classification of Equilibrium
What is the **classification** of the equilibrium \(x_1 = 0, x_2 = 0\) for this system?

#### (b) General Solution
Write the **general solution** to the system.
Transcribed Image Text:### Problem 3: Consider the System The system of equations given is: \[ x_1' = 3x_1 + 4x_2 \] \[ x_2' = -2x_1 - 3x_2 \] #### (a) Classification of Equilibrium What is the **classification** of the equilibrium \(x_1 = 0, x_2 = 0\) for this system? #### (b) General Solution Write the **general solution** to the system.
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