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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. 34 x' = x, x(0)= [3] 03 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. 34 x' = x, x(0)= [3] 03 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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Solve. The same way to ask the solution 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. 34 x' = X, X(0) = A 3 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.) This is a solved question 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. 6 5 x' = X, X(0)= 5 6 06 Solve the initial value problem. 5 e 6t+30t e , 6t x(t) = 6 e 6t (Use integers or fractions for any numbers in the expression)
Transcribed Image Text:Solve. The same way to ask the solution 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. 34 x' = X, X(0) = A 3 Solve the initial value problem. x(t) = (Use integers or fractions for any numbers in the expression.) This is a solved question 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. 6 5 x' = X, X(0)= 5 6 06 Solve the initial value problem. 5 e 6t+30t e , 6t x(t) = 6 e 6t (Use integers or fractions for any numbers in the expression)
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