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3. Find the general solution of the system of differential equations d. 8 -5 = x* cos(7t) – 7 sin(7t) + 8t7e7 10 cos(7t) 10 6. + 4t*e7 ( +( 7 cos(7t) + sin(7t) ) 10 sin(7t) Hint: The characteristic polynomial of the coefficient matrix is X? – 14A + 98. Moreover x,(t) = t°e7" ( cos(7t) – 7 sin(7t) ). 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) + t°e7! is a particular solution of the system.

3. Find the general solution of the system of differential equations d. 8 -5 = x* cos(7t) – 7 sin(7t) + 8t7e7 10 cos(7t) 10 6. + 4t*e7 ( +( 7 cos(7t) + sin(7t) ) 10 sin(7t) Hint: The characteristic polynomial of the coefficient matrix is X? – 14A + 98. Moreover x,(t) = t°e7" ( cos(7t) – 7 sin(7t) ). 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) + t°e7! 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
Problem 1RQ
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3. Find the general solution of the system of differential equations d. 8 -5 de*= 10 6. + 4t*e7 ( cos(7t) – 7 sin(7t) + 8t"e7 10 cos(7t) 7 cos(7t) + sin(7t)) 10 sin(7t) Hint: The characteristic polynomial of the coefficient matrix is X? – 14A + 98. Moreover x,(t) = t°e7" ( cos(7t) – 7 sin(7t) ). 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) is a particular solution of the system.
Transcribed Image Text:3. Find the general solution of the system of differential equations d. 8 -5 de*= 10 6. + 4t*e7 ( cos(7t) – 7 sin(7t) + 8t"e7 10 cos(7t) 7 cos(7t) + sin(7t)) 10 sin(7t) Hint: The characteristic polynomial of the coefficient matrix is X? – 14A + 98. Moreover x,(t) = t°e7" ( cos(7t) – 7 sin(7t) ). 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) is a particular solution of the system.
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