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9. Find the general solution of the system of differential equations 2 2 1 2 5 2 1 2 2 d X%3= dt 2 1 + 6t°e? + 7t®e° + 8t°e7t 1 Hint: The characteristic polynomial of the coefficient matrix is -(A – 1)²(A – 7). Moreover 1 u„(t) = t®et + t°e?t 1 is a particular solution of the system.

9. Find the general solution of the system of differential equations 2 2 1 2 5 2 1 2 2 d X%3= dt 2 1 + 6t°e? + 7t®e° + 8t°e7t 1 Hint: The characteristic polynomial of the coefficient matrix is -(A – 1)²(A – 7). Moreover 1 u„(t) = t®et + t°e?t 1 is a particular solution of the system.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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9. Find the general solution of the system of differential equations 2 2 1 2 5 2 1 2 2 d X%3= dt 2 1 + 6t°e? + 7t®e° + 8t°e7t 1 Hint: The characteristic polynomial of the coefficient matrix is -(A – 1)²(A – 7). Moreover 1 u„(t) = t®et + t°e7t 1 is a particular solution of the system.
Transcribed Image Text:9. Find the general solution of the system of differential equations 2 2 1 2 5 2 1 2 2 d X%3= dt 2 1 + 6t°e? + 7t®e° + 8t°e7t 1 Hint: The characteristic polynomial of the coefficient matrix is -(A – 1)²(A – 7). Moreover 1 u„(t) = t®et + t°e7t 1 is a particular solution of the system.
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