3. Find the general solution of the system of differential equationsd.8-5XX%3=dt106.cos(7t) – 7 sin(7t)10 cos(7t)+ 8t et ( 7 cos(7t) + sin(7t)7 cos (7t) + sin(7t)10 sin(7t)-+ 4t°e7Hint: The characteristic polynomial of the coefficient matrix is X - 14X + 98. Moreovercos (7t) – 7 sin(7t) )10 cos(7t)7 cos(7t) + sin(7t)10 sin(7t)X,(t) = t*e7t+ t°e7tis a particular solution of the system.

Given equation is, dxdt=8-5106x+4t3e7tcos7t-7sin7t10cos7t+8t7e7t7cos7t+sin7t10sin7t To find the…

3. Find the general solution of the system of differential equations 8 -5 di= 10 6 + 4t°e" ( cos(7t) – 7 sin(7t) 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) + 8t'et nt: The characteristic polynomial of the coefficient matrix is X2 – 14A + 98. Moreov - x,(t) = t'e7t ( cos(7t) – 7 sin(7t) 10 cos(7t) + t°e7t ( 7 cos(7t) + sin(7t) 10 sin(7t) port: lor colution of tho quatom

3. Find the general solution of the system of differential equations 8 -5 di= 10 6 + 4t°e" ( cos(7t) – 7 sin(7t) 10 cos(7t) 7 cos(7t) + sin(7t) 10 sin(7t) + 8t'et nt: The characteristic polynomial of the coefficient matrix is X2 – 14A + 98. Moreov - x,(t) = t'e7t ( cos(7t) – 7 sin(7t) 10 cos(7t) + t°e7t ( 7 cos(7t) + sin(7t) 10 sin(7t) port: lor colution of tho quatom

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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