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7- Write the differential equation y"(t) - 2y"(t)- y'(t) + 3y(t) = 0 as a first order system. [x' (t)] 0 0 a) (t) (t) (t)] b) x₂(t) [(t) (t)] = 1 0 (t) JE x₂(t) [x3(t). [x₁(t) x₂ (t) [x3(1)] 01 - -3 1 2 [0 2 0 00-3 1 0 1 [0 1 0] [1(t) 0 0 1 1-3 -3 16 2] 2 3(t). x₁ (t)] x₂(t) [x3(1)] c)₂(t) (t) [a(t)] [0 1 0 d) (t) = 001 96 [x' (t)] [x (t)] Го 1 0 x(t) 00 2 1-3 x₂(t) DE 1 1 2 3 3 (t)]

7- Write the differential equation y"(t) - 2y"(t)- y'(t) + 3y(t) = 0 as a first order system. [x' (t)] 0 0 a) (t) (t) (t)] b) x₂(t) [(t) (t)] = 1 0 (t) JE x₂(t) [x3(t). [x₁(t) x₂ (t) [x3(1)] 01 - -3 1 2 [0 2 0 00-3 1 0 1 [0 1 0] [1(t) 0 0 1 1-3 -3 16 2] 2 3(t). x₁ (t)] x₂(t) [x3(1)] c)₂(t) (t) [a(t)] [0 1 0 d) (t) = 001 96 [x' (t)] [x (t)] Го 1 0 x(t) 00 2 1-3 x₂(t) DE 1 1 2 3 3 (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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7- Write the differential equation y"(t) - 2y"(t)- y'(t) + 3y(t) = 0 as a first order system. [x' (t)] 0 0 a) (t) (t) (t)] b) x₂(t) (t) (t)] = 1 0] [1(t) JE 01 -3 1 2 - [0 2 0 00-3 1 0 1 c) x₂(t) = 001 (t) [a(t)] [0 1 0 d) (t) = 001 x₂ (t) [x3(1)] [0 1 0] [1(t)] x₂(t) -3 2 3(t). 16 2 1-3 [a(t)] [0 1 0 x(t) 00 x₂(t) x3(t). 96 ₁ (t)] 1 2 3 x₂(t) [x3(1)] 96 1 3 (t)]
Transcribed Image Text:7- Write the differential equation y"(t) - 2y"(t)- y'(t) + 3y(t) = 0 as a first order system. [x' (t)] 0 0 a) (t) (t) (t)] b) x₂(t) (t) (t)] = 1 0] [1(t) JE 01 -3 1 2 - [0 2 0 00-3 1 0 1 c) x₂(t) = 001 (t) [a(t)] [0 1 0 d) (t) = 001 x₂ (t) [x3(1)] [0 1 0] [1(t)] x₂(t) -3 2 3(t). 16 2 1-3 [a(t)] [0 1 0 x(t) 00 x₂(t) x3(t). 96 ₁ (t)] 1 2 3 x₂(t) [x3(1)] 96 1 3 (t)]
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