2. Find the coordinate transformation that will decouple the equation.

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Can you help me with part 2?
Problem 2
For the system of equations
dx
11
-2
x.
dt
3
4
1. Find the eigenvalues and eigenvectors of the matrix.
2. Find the coordinate transformation that will decouple the equation.
3. Write down the general solution.
4. Draw the phase portrait in the (x, ỹ) system, and hence sketch the phase portrait for
the original coordinates.
Transcribed Image Text:Problem 2 For the system of equations dx 11 -2 x. dt 3 4 1. Find the eigenvalues and eigenvectors of the matrix. 2. Find the coordinate transformation that will decouple the equation. 3. Write down the general solution. 4. Draw the phase portrait in the (x, ỹ) system, and hence sketch the phase portrait for the original coordinates.
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