dx 1. Solve initial value problem = x dt | | 102 | 7, 7(0) = |||] [1] as follows (a) Find eignevalues and associated eigenvectors of coeeficient matrix A = 10 2 (b) Find a fundamental set of solutions (as vector valued functions). Write down a general solution for system of DE. (c) Solve given IVP. (d) Sketch phase portrait. Include all trajectories given by lines as well as at least pne curved trajectory.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.8: Determinants
Problem 8E
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dx
1. Solve initial value problem
=
x
dt
| | 102 | 7, 7(0) = |||]
[1]
as follows
(a) Find eignevalues and associated eigenvectors of coeeficient matrix A
=
10
2
(b) Find a fundamental set of solutions (as vector valued functions). Write down a
general solution for system of DE.
(c) Solve given IVP.
(d) Sketch phase portrait. Include all trajectories given by lines as well as at least
pne curved trajectory.
Transcribed Image Text:dx 1. Solve initial value problem = x dt | | 102 | 7, 7(0) = |||] [1] as follows (a) Find eignevalues and associated eigenvectors of coeeficient matrix A = 10 2 (b) Find a fundamental set of solutions (as vector valued functions). Write down a general solution for system of DE. (c) Solve given IVP. (d) Sketch phase portrait. Include all trajectories given by lines as well as at least pne curved trajectory.
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