3 5 1 -1 a) x(1) = q (₁²¹) e² a (1¹) e ² + c₂ (₁) ₁² b) x(t)=q| 11) e ²² + 0₂ (1) ₁1e ²1 c) x(1) = q [1¹] e²¹ + c₂ (²) e -21 e ² te-21 5 21 -1 x(1) = q ( ₁71 ) e ²¹² + 6 5 + C₂1 1 The general solution for x' = d) 27 lett x is:

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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Question
3
The general solution for x' =
1
-21
x(t)
G
a) x (1) = q (1¹) e ²³¹ + c₂ (1) e²²
b) x(t) = G i (1₁²) e ²¹ +₁
1
-2t
+6₂
Q₁e
1
5
-2t
c) x (1) = a (1¹) e ² + c₂ (1²) e ²
-2t
te
d) x ( 1) = q ( 1² ) e
a (₁1²¹) ₁²*² + G�� (1²) ₁²
5
-2t
47
5
-1
x is:
Transcribed Image Text:3 The general solution for x' = 1 -21 x(t) G a) x (1) = q (1¹) e ²³¹ + c₂ (1) e²² b) x(t) = G i (1₁²) e ²¹ +₁ 1 -2t +6₂ Q₁e 1 5 -2t c) x (1) = a (1¹) e ² + c₂ (1²) e ² -2t te d) x ( 1) = q ( 1² ) e a (₁1²¹) ₁²*² + G�� (1²) ₁² 5 -2t 47 5 -1 x is:
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