Each coefficient matrix A in Problems 25 through 30 is th sum of a nilpotent matrix and a multiple of the identity matrix Use this fact (as in Example 6) to solve the given initial valu problem. 25. x' х 3 2 5 х, x(0) 7

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Chapter2: Second-order Linear Odes
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Each coefficient matrix A in Problems 25 through 30 is the
sum of a nilpotent matrix and a multiple of the identity matrix.
Use this fact (as in Example 6) to solve the given initial value
problem.
25. x'
2
х 3
5
х,
x(0) =
7
26. х—
7
|х, х(0)
11
7
–10
Transcribed Image Text:Each coefficient matrix A in Problems 25 through 30 is the sum of a nilpotent matrix and a multiple of the identity matrix. Use this fact (as in Example 6) to solve the given initial value problem. 25. x' 2 х 3 5 х, x(0) = 7 26. х— 7 |х, х(0) 11 7 –10
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