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(b) Let B = e³t, te³t, t²e³t. Verify that this is a basis for Eq(s). This will require a little thought, and some careful appli- cation of several definitions! You may use the fact that 1 1 1 s-3 (8-3)² (8-3) are linearly independent. 2

(b) Let B = e³t, te³t, t²e³t. Verify that this is a basis for Eq(s). This will require a little thought, and some careful appli- cation of several definitions! You may use the fact that 1 1 1 s-3 (8-3)² (8-3) are linearly independent. 2

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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(b) Let B = e³t, test, t²e³t. Verify that this is a basis for Eq(s). This will require a little thought, and some careful appli- cation of several definitions! You may use the fact that 1 1 1 s−3' (s−3)²' (s−3)3 are linearly independent.
Transcribed Image Text:(b) Let B = e³t, test, t²e³t. Verify that this is a basis for Eq(s). This will require a little thought, and some careful appli- cation of several definitions! You may use the fact that 1 1 1 s−3' (s−3)²' (s−3)3 are linearly independent.
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