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Find xi(t) and x2(t) of the system described by X₁ 0 where the initial 1 -2 conditions are x₁ (0)] x₂ (0) 1 ]-[4] = X₁ X₂

Find xi(t) and x2(t) of the system described by X₁ 0 where the initial 1 -2 conditions are x₁ (0)] x₂ (0) 1 ]-[4] = X₁ X₂

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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Note: kindly give me both right solutions with clear calculations 

3-4 Find xi(t) and x2(t) of the system described by 1 []-[ -22][* 3 X₂ where the initial conditions are 3-5 The system state equation is defined as x = Ax 1 If x(0) = [8]-[44] x₁ (0) x₂ (0) 3 [1] 2 If x(0) = then x(t) = 3 -B] Obtain the matrices (t) and A. 2e²2¹ +e 2e¹ then x(t)= 3e-t e¹+te+
Transcribed Image Text:3-4 Find xi(t) and x2(t) of the system described by 1 []-[ -22][* 3 X₂ where the initial conditions are 3-5 The system state equation is defined as x = Ax 1 If x(0) = [8]-[44] x₁ (0) x₂ (0) 3 [1] 2 If x(0) = then x(t) = 3 -B] Obtain the matrices (t) and A. 2e²2¹ +e 2e¹ then x(t)= 3e-t e¹+te+
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