12. Consider the vectors x(¹) (t) = and x(2) (t) - (2) a. compute the Wronskian of x(¹) and x(2). b. In what intervals are x(¹) and x(²) linearly independent? c. What conclusion can be drawn about the coefficients in the system of homogeneous dif- ferential equations satisfied by x(1) and x(2). d. Find this system of equations and verify the conclusion of part c.
12. Consider the vectors x(¹) (t) = and x(2) (t) - (2) a. compute the Wronskian of x(¹) and x(2). b. In what intervals are x(¹) and x(²) linearly independent? c. What conclusion can be drawn about the coefficients in the system of homogeneous dif- ferential equations satisfied by x(1) and x(2). d. Find this system of equations and verify the conclusion of part c.
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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