Let yı(t) = 2e3t + 4e-t 3est +10e and Y2(t) 4e3t + 2e be3t + 5e-t a. Compute the Wronskian to determine whether the functions y1(t) and y2(t) are linearly independent. Wx(t) = = det b. These functions are linearly ? because the Wronskian is ? for all t.

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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2e3t + 4e-
4e3t + 2e-t
and y2(t) = (Loest + 5et
Let yı(t) :
3e3t
+ 10e-t
a. Compute the Wronskian to determine whether the functions yı(t) and y2(t) are linearly independent.
Wx(t) = det
b. These functions are linearly ?
v because the Wronskian is ?
for all t.
Transcribed Image Text:2e3t + 4e- 4e3t + 2e-t and y2(t) = (Loest + 5et Let yı(t) : 3e3t + 10e-t a. Compute the Wronskian to determine whether the functions yı(t) and y2(t) are linearly independent. Wx(t) = det b. These functions are linearly ? v because the Wronskian is ? for all t.
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