[19] Consider the nonhomogeneous linear system of differential equations:16e3t(*)1x'(t)x(t) +1(a) Find complementary solutions; that is, find the general solutions of the correspondingsystem x(t) =1 4x-(t).1 1homogeneous linear(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 u,(t) of the system in (c).(e) Find a particular solution x,(t) of the original system (*).(f) Find the general solutions x(t) of the original system (*).13t4x(t) +-2(g) Solve the initial value problem x'(t) = | xx(0)7

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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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