[19] Consider the nonhomogeneous linear system of differential equations:14(*)x' (t) = [1₁] x( t) + [16e"](a) Find complementary solutions; that is, find the general solutions of the correspondinghomogeneous linear system x(t)system x (t) = [1₁] xc(t).(b) Find a fundamental matrix M(t) for the homogenous linear system.(c) Set x(t) = M(t)u(t). Write down the system of differential equations for u(t).(d) Find a particular solution up(t) of the system in (c).(e) Find a particular solution x₂(t) of the original system (*).(f) Find the general solutions x(t) of the original system (*).143t(g) Solve the initial value problem x'(t) = [11] x-[i]×®+[G], x= [7]x(t)x(0)

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Answered: Consider the nonhomogeneous linear…

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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