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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Question

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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