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-3 2) 8./ x' 1 -1 -2 -1 ī ī ||

-3 2) 8./ x' 1 -1 -2 -1 ī ī ||

Advanced Engineering Mathematics
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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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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