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6. Solve the following system of differential equations y₁ = -2y₁ - 4y2₂ +e-²tu(t), y₁ (0) = 1 y₂ = ₁ + 3y₂ + u(t − 2), y₂ (0) = 0 (10) Find Y₁(s) B(s) D(s) + A(s) C(s) e-as (A(s), B(s), C(s) and D(s) are polynomials of s) (11) Find y₁ (t). =

6. Solve the following system of differential equations y₁ = -2y₁ - 4y2₂ +e-²tu(t), y₁ (0) = 1 y₂ = ₁ + 3y₂ + u(t − 2), y₂ (0) = 0 (10) Find Y₁(s) B(s) D(s) + A(s) C(s) e-as (A(s), B(s), C(s) and D(s) are polynomials of s) (11) Find y₁ (t). =

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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6. Solve the following system of differential equations y₁ = -2y₁ - 4y2 + e-²tu(t), y₁ (0) = = 1 y₂ = y₁ + 3y₂ + u(t - 2), Y₂ (0) = 0 (10) Find Y₁(s) B(s) D (s) -as A(s) C(s) e (A(s), B(s), C(s) and D(s) are polynomials of s) (11) Find y₁ (t).
Transcribed Image Text:6. Solve the following system of differential equations y₁ = -2y₁ - 4y2 + e-²tu(t), y₁ (0) = = 1 y₂ = y₁ + 3y₂ + u(t - 2), Y₂ (0) = 0 (10) Find Y₁(s) B(s) D (s) -as A(s) C(s) e (A(s), B(s), C(s) and D(s) are polynomials of s) (11) Find y₁ (t).
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