-4 A = -3 -5 Using the Taylor series expansion, compute the approximation (for small 1) up to second degree (up to the term with t²) of e'A . help (formulas) help (matrices) e'A Next, use the above approximation to the exponential to find an approximation (for small t) of the solution to x = Ax with initial condition x(0) = help (formulas) help (matrices) x(t) =
-4 A = -3 -5 Using the Taylor series expansion, compute the approximation (for small 1) up to second degree (up to the term with t²) of e'A . help (formulas) help (matrices) e'A Next, use the above approximation to the exponential to find an approximation (for small t) of the solution to x = Ax with initial condition x(0) = help (formulas) help (matrices) x(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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