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Give the state space forms of the following equations. Superscripts with parentheses are the orders of differentials. (a) ÿ = y (b) ₁ = x₁ + x2, (c) ÿ+ 2y + y + 1 = 0 X₂ = x1

Give the state space forms of the following equations. Superscripts with parentheses are the orders of differentials. (a) ÿ = y (b) ₁ = x₁ + x2, (c) ÿ+ 2y + y + 1 = 0 X₂ = x1

Advanced Engineering Mathematics
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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1. Give the state space forms of the following equations. Superscripts with parentheses are the orders of differentials. (a) ÿ = Y (b) ₁ = x1 + x2, (c) ÿ+ 2y + y + 1 = 0 (d) ₁ + 2 + %₁ = 0, 2₂ +2₁+ ²2 = 2 (e) ÿ = xy, X = y (f) xy = y, y = X (g) x+x+y = 0, ÿ+ x = 0 (h) x(³) + x = 0 (i) x(³) + x(²) + x(¹) = 0 (j) xx+x² + x = 0 X2 = x1
Transcribed Image Text:1. Give the state space forms of the following equations. Superscripts with parentheses are the orders of differentials. (a) ÿ = Y (b) ₁ = x1 + x2, (c) ÿ+ 2y + y + 1 = 0 (d) ₁ + 2 + %₁ = 0, 2₂ +2₁+ ²2 = 2 (e) ÿ = xy, X = y (f) xy = y, y = X (g) x+x+y = 0, ÿ+ x = 0 (h) x(³) + x = 0 (i) x(³) + x(²) + x(¹) = 0 (j) xx+x² + x = 0 X2 = x1
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