2e3t + 4e -4e3t + 2e Let Yı(t) = and y2(t) = 3e3t + 10e-t -6e3t + 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 independent O because the Wronskian is nonzero O for all t.
2e3t + 4e -4e3t + 2e Let Yı(t) = and y2(t) = 3e3t + 10e-t -6e3t + 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 independent O because the Wronskian is nonzero O 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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Transcribed Image Text:2e3t + 4e-t
-4et + 2e
Let yı(t)
and y2(t) =
(
3e3t + 10e t
-6e3t + 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 independent because the Wronskian is nonzero O for all t.
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