-3 2) 8./ x' 1 -1 -2 -1 ī ī ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

How do you get the general solution of the 8th question? 

plot onto each of the coordinate planes should produce the three
in three-dimensional tx1X2-space. Note that the projections of this
6. x' =
2.
x(0) =
%3D
X,
-3
%3D
In each of Problems 7 and 8, express the general solution of the given
system of equations in terms of real-valued functions.
1
7. x'
1
-2 x
%3D
1
-3
8.
./ x'
1
-1
Olx
%3D
-2
-1
In each of Problems 9 and 10:
a. Find the eigenvalues of the given system.
G b. Choose an initial point (other than the origin) and draw
the corresponding trajectory in the x1x2-plane.
G C. For your trajectory in part b, draw the graphs of x, versus
1
t and of x, versus t.
G d. For your trajectory in part b, draw the corresponding graph
in three-dimensional tx1X2-Space. Note that the projections of this
alot onto each of the coordinate planes should produce the three
plots produced in parts b and c.
()
Transcribed Image Text:plot onto each of the coordinate planes should produce the three in three-dimensional tx1X2-space. Note that the projections of this 6. x' = 2. x(0) = %3D X, -3 %3D In each of Problems 7 and 8, express the general solution of the given system of equations in terms of real-valued functions. 1 7. x' 1 -2 x %3D 1 -3 8. ./ x' 1 -1 Olx %3D -2 -1 In each of Problems 9 and 10: a. Find the eigenvalues of the given system. G b. Choose an initial point (other than the origin) and draw the corresponding trajectory in the x1x2-plane. G C. For your trajectory in part b, draw the graphs of x, versus 1 t and of x, versus t. G d. For your trajectory in part b, draw the corresponding graph in three-dimensional tx1X2-Space. Note that the projections of this alot onto each of the coordinate planes should produce the three plots produced in parts b and c. ()
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