d 11. If{(x¹ - α₁x¹-¹ + A₂xn−²_ dx 0 ≤r≤n, is equal to (A) ¹²!! r! (n-r)! r! n! (n-r)! (n-r)! (D) n! (E) None of the above <<-... + (-1)"an)ex} = x^ex, then the value of ar,
d 11. If{(x¹ - α₁x¹-¹ + A₂xn−²_ dx 0 ≤r≤n, is equal to (A) ¹²!! r! (n-r)! r! n! (n-r)! (n-r)! (D) n! (E) None of the above <<-... + (-1)"an)ex} = x^ex, then the value of ar,
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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Transcribed Image Text:11. If={(ª₁x¹ — α₁x²-¹ + a₂x¹−² − ... + (−1)ªan)e*} = x^ex, then the value of ar,
-
dx
0 ≤r≤n, is equal to
(A) ==
r!
(n-r)!
(B) r!
n!
(n-r)!
(C).
(D)(n-r)!
n!
(E) None of the above
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