(17) = ² × ( ¹²7 ) = ² × x=(²7)e²+(²1) ²² = ₁₁ (²₁) e² + c₂l(¹) te² + (1) e¹ dx dt dy dt O 2x + y -X X = a₁(²¹₁) e² + c₂l(¹₁) e² + (9) e'] X = ₁₁ ( ₁¹₁ ) e ² + ₁₂ ( ¹₁ ) e²

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
K₁
(1) = ²×(1-7)=
X = C₁
C₁ (-¹₁) e ² + c₂ (1) et
O A
X = ₁₁ (¹₁) e² + c₂l(¹₁) te² + (e¹]
B
dx
dt
dy
dt
2x + y
D
--
X=₁ (¹₁) e¹+₂[(¹) ² + (0¹)
-X
= ₁₁ (_²¹₁₂) e ² + c₂ (_-¹1₁) e ²
Transcribed Image Text:K₁ (1) = ²×(1-7)= X = C₁ C₁ (-¹₁) e ² + c₂ (1) et O A X = ₁₁ (¹₁) e² + c₂l(¹₁) te² + (e¹] B dx dt dy dt 2x + y D -- X=₁ (¹₁) e¹+₂[(¹) ² + (0¹) -X = ₁₁ (_²¹₁₂) e ² + c₂ (_-¹1₁) e ²
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