2. Find the general solution of the system of differen-tial equationsd9 3( sin(3t)cos(3t)Hint: The characteristic polynomial of the coefficientcos(3t)- sin(3t)X=dtx + 2te+ 4t³et-3 9matrix is (A – 9)² + 3?.

Given that the characteristic polynomial of A=93-39 is λ-92+32. The eigenvalues of A are the…

2. Find the general solution of the system of differen- tial equations d '( cos(3t) - sin(3t) 9 3 sin(3t) cos(3t) dt x+ 2tet + 4t³et -3 9 Hint: The characteristic polynomial of the coefficient matrix is (A – 9)² + 3².

2. Find the general solution of the system of differen- tial equations d '( cos(3t) - sin(3t) 9 3 sin(3t) cos(3t) dt x+ 2tet + 4t³et -3 9 Hint: The characteristic polynomial of the coefficient matrix is (A – 9)² + 3².

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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Question

2. Find the general solution of the system of differen-
tial equations
d
9 3
( sin(3t)
cos(3t)
Hint: The characteristic polynomial of the coefficient
cos(3t)
- sin(3t)
X=
dt
x + 2te
+ 4t³et
-3 9
matrix is (A – 9)² + 3?.

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