Consider the Initial Value Problem: (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 I2 A₁ || x₁ = x₂ = v1 -3x₁ + 3x₂ -6x₁+3x₂¹ (b) Solve the initial value problem. Give your solution in real form. #1 *1(0) T2(0) = , and X₂ = = 2 7 16 =
Consider the Initial Value Problem: (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 I2 A₁ || x₁ = x₂ = v1 -3x₁ + 3x₂ -6x₁+3x₂¹ (b) Solve the initial value problem. Give your solution in real form. #1 *1(0) T2(0) = , and X₂ = = 2 7 16 =
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Transcribed Image Text:Consider the Initial Value Problem:
X₁
01
x²₁
x₂
=
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
181
An ellipse with clockwise orientation
the trajectory.
=
- 3x1 + 3x₂
-6x₁ + 3x₂²
(b) Solve the initial value problem. Give your solution in real form.
I1 =
1-8
x2 =
*1(0)
x2(0)
and X2 =
=
=
ໜຶ່ງ :
=
27
18
1. Use the phase plotter pplane9.m in MATLAB to describe
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