1. Given the following differential equation and initial conditions:ÿ + 2y = 8u, y(0¯)=1 ; y(0¯) = 3a.Define the state variables.b. What are the initial conditions of the state variables?C.Write the derivative equations for the state variables in matrix form: [X] = [A]{X} + [B]uand {Y} = [C]{X}+[D]u. The response of interest is y.

Answered: Image /qna-images/answer/22715967-fbdb-43f8-b361-36b5ab804945.jpg

Answered: . Given the following differential…

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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. Given the following differential equation and initial conditions: ÿ + 2y = 8u, y(0)=1; y(0) = 3 a. Define the state variables. b. What are the initial conditions of the state variables?