Find a fundamental matrix of the following system, and then apply x(t)=(t)(0) ¹x to find a solution satisfying theinitial conditions.74-3*-[14].x' =[]43t - e11teΦ(t) =11t3t- e7+11te ³t 3-11 e 11tÞ(t) =4+ 3t e11t11-3 e 11tOA.x, x(0) =-4 e7t-7 e4t11t(t) =111- eeFind a solution satisfying the given initial condition.x(t) =(Use integers or fractions for any numbers in the expression.)Φ(t) =- 7t7e4 e-7t3te3te-K

Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

Answered: Find a fundamental matrix of the…

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 a fundamental matrix of the following system, and then apply x(t)=(t)(0) 1x to find a solution satisfying the initial conditions. 74 -3 - [14] x, x(0) = 2] 4-7 4 -3t 11t x' = OA. (t) = 7e - 7t -4 et e