Find the general solution x = : ([2, -5], [1, -2])x+ ([0], [cost]), 0Answer is : x = c1[5cos(t), 2cos(t) + sin(t)] + c2[5sin(t), -cos(t) + 2sin(t)] + [0,1/2]t*cos(t) - [5/2, 1]t*sin(t) - [5/2, 1]cos(t)HOW DO I GET THIS ANSWER8. x'3c-50= (₁-2) x + (+), 0COS0

Given the system of differential equations.The characteristic equation is

Answered: Find the general solution x = ([2,…

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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Find the general solution x = ([2, -5],[1, 2])x+ ([0], [cost]), 0Answer is : x = c1[5cos(t), 2cos (t) + sin(t)] + c2[5sin(t), -cos(t) + 2sin(t)] + [0,1/2]t*cos(t) - [5/2,1]t*sin(t)- [5/2, 1]cos(t) HOW DO I GET THIS ANSWER

Find the general solution x = ([2, -5],[1, 2])x+ ([0], [cost]), 0Answer is : x = c1[5cos(t), 2cos (t) + sin(t)] + c2[5sin(t), -cos(t) + 2sin(t)] + [0,1/2]tcos(t) - [5/2,1]tsin(t)- [5/2, 1]cos(t) HOW DO I GET THIS ANSWER