Show your solution. Given the differential equation: x(x+3)y'' - 9y' - 6y = 0 Question: Which of the following is the expression for y2?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Given the differential equation: x(x+3)y'' - 9y' - 6y = 0

Question: Which of the following is the expression for y2?

+=5²
3 [x³ + Σoo_(−1)²¹(n+2)x²]
4.3n-3
A. y₂ = a3 [x³
(-1)^n(n+1)x"]
2.3¹-3
(-1)n(n+1)xn]
5.37-4
B. y₂ = a3 [x³ +=5²
C. y2 = a₁ [x² +=5²
D. y₂ = a₁ [x¹ + Σm=5²
a4
14 [x4 + [∞_ (−1)¹(n+1)(n+2)xª
2)x"]
2.3n-4
Transcribed Image Text:+=5² 3 [x³ + Σoo_(−1)²¹(n+2)x²] 4.3n-3 A. y₂ = a3 [x³ (-1)^n(n+1)x"] 2.3¹-3 (-1)n(n+1)xn] 5.37-4 B. y₂ = a3 [x³ +=5² C. y2 = a₁ [x² +=5² D. y₂ = a₁ [x¹ + Σm=5² a4 14 [x4 + [∞_ (−1)¹(n+1)(n+2)xª 2)x"] 2.3n-4
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