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2 1 Suppose we want to compute e At for A = using Putzer's algorithm. The eigenvalues are 2, 3 and we set B0 = 12x2, B₁ = A - 212×2, so that eAt=r1B0+r2B1. What functions T1 and T2 should we use? e2t ○ (a) r1(t) = e³t, and r2(t) = e ○ (b) r1(t) = e², and r₂(t) = 0 (c) ri(t) = e², and r₂(t) = ○ (d) r₁(t) = te², and r2(t) = e³t 3t e³t + e² 3t - e2t (e) r1(t) = e², and r2(t) = e³t.

2 1 Suppose we want to compute e At for A = using Putzer's algorithm. The eigenvalues are 2, 3 and we set B0 = 12x2, B₁ = A - 212×2, so that eAt=r1B0+r2B1. What functions T1 and T2 should we use? e2t ○ (a) r1(t) = e³t, and r2(t) = e ○ (b) r1(t) = e², and r₂(t) = 0 (c) ri(t) = e², and r₂(t) = ○ (d) r₁(t) = te², and r2(t) = e³t 3t e³t + e² 3t - e2t (e) r1(t) = e², and r2(t) = e³t.

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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Question 1: Putzer's Algorithm Suppose we want to compute e^t for A we set B0 = 12×2, B₁ = A − 212×2, so that What functions 1 and 2 should we use? ○ (a) r₁ (t) = e³t, and r2(t) = e²t 1 = using Putzer's algorithm. The eigenvalues are 2, 3 and ○ (b) r1(t) = e², and r2(t) = 0 e3t ○ (c) ri(t) = e²t, and r2(t) ○ (d) r₁(t) = te², and r2(t) = e³t + e²t 2t ○ (e) ri(t) = e2t, and r2(t) = e³t — e²t eAt = r1B0+ r2B1.
Transcribed Image Text:Question 1: Putzer's Algorithm Suppose we want to compute e^t for A we set B0 = 12×2, B₁ = A − 212×2, so that What functions 1 and 2 should we use? ○ (a) r₁ (t) = e³t, and r2(t) = e²t 1 = using Putzer's algorithm. The eigenvalues are 2, 3 and ○ (b) r1(t) = e², and r2(t) = 0 e3t ○ (c) ri(t) = e²t, and r2(t) ○ (d) r₁(t) = te², and r2(t) = e³t + e²t 2t ○ (e) ri(t) = e2t, and r2(t) = e³t — e²t eAt = r1B0+ r2B1.
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