Consider the 2 × 2 system of ODEs, where X(t) x₁(t) and x2(t). (x₁(t)\ === for some real-valued functions X'(t) = -²) x(t), x (0) = (7 -2 2 (a) Find the explicit, real-valued solution of this system, both in vector form and in component form. (b) Roughly sketch what you expect the phase portrait of this graph to look like.
Consider the 2 × 2 system of ODEs, where X(t) x₁(t) and x2(t). (x₁(t)\ === for some real-valued functions X'(t) = -²) x(t), x (0) = (7 -2 2 (a) Find the explicit, real-valued solution of this system, both in vector form and in component form. (b) Roughly sketch what you expect the phase portrait of this graph to look like.
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
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Transcribed Image Text:Consider the 2 × 2 system of ODEs, where X(t)
x₁(t) and x2(t).
(x₁(t)\
===
for some real-valued functions
X'(t)
=
-²) x(t), x (0) = (7
-2
2
(a) Find the explicit, real-valued solution of this system, both in vector form and in component
form.
(b) Roughly sketch what you expect the phase portrait of this graph to look like.
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