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The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. 165 4 x' 0 1 6 x, x(0) = 5 -- 001 6 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.)

The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. 165 4 x' 0 1 6 x, x(0) = 5 -- 001 6 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.)

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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The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. 165 x' 0 16 x, x(0) = 5 - 001 4 6 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:The coefficient matrix A below is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact to solve the given initial value problem. 165 x' 0 16 x, x(0) = 5 - 001 4 6 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.)
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