Why use the hypothesis of n=m-1 with a step-by-step explanation of the solution and a clear line, please = 0 Ohen m =0 A5o, the term yresponding Since (m-1)! to m=o vanisnes Therepre Changimg tue variable of Summation to n=m -) 2n+1 Σ n=0 n!r(n+v+2) 2an+V+1 2n+ V+1 (-1)" x n=a n! P(n+l +v+1) 22n+v+1 8. - V * (-1n x2h+V+1 2n+V+1 3 r (n+1+v+1) ーズ レ+」(x) Jutl -V Hence a [zVJ, (x)] =-x' JrH (x) (Proved)
Why use the hypothesis of n=m-1 with a step-by-step explanation of the solution and a clear line, please = 0 Ohen m =0 A5o, the term yresponding Since (m-1)! to m=o vanisnes Therepre Changimg tue variable of Summation to n=m -) 2n+1 Σ n=0 n!r(n+v+2) 2an+V+1 2n+ V+1 (-1)" x n=a n! P(n+l +v+1) 22n+v+1 8. - V * (-1n x2h+V+1 2n+V+1 3 r (n+1+v+1) ーズ レ+」(x) Jutl -V Hence a [zVJ, (x)] =-x' JrH (x) (Proved)
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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![Why use the hypothesis of n=m-1
with a step-by-step explanation of
the solution and a clear line, please
= 0 Ohen m = 0 A5o, the term yresponding
Since (m-1)!
to m =o vanisnes
Therepre Changimg tue variable of Summation to n=m -)
2n+1
Σ
n=0 n!r(n+v+2) 2an+V+1
2n+ V+1
(-1)" x
n=a n! P(n+l +v+1) 22n+V+1
8.
- V
* (-1n x2h+V+1
2n+V+1
3
r (n+1+v+1)
ーズ
レ+」 (x)
-V
Hence a [zVJ, (x)] = -x JvH (x)
(Proved)
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faca04cad-baf8-4429-9108-a44ba2e5cf15%2Fc60d2379-6255-43a1-8f7e-62e7ba6688e2%2Fm2zzg9b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Why use the hypothesis of n=m-1
with a step-by-step explanation of
the solution and a clear line, please
= 0 Ohen m = 0 A5o, the term yresponding
Since (m-1)!
to m =o vanisnes
Therepre Changimg tue variable of Summation to n=m -)
2n+1
Σ
n=0 n!r(n+v+2) 2an+V+1
2n+ V+1
(-1)" x
n=a n! P(n+l +v+1) 22n+V+1
8.
- V
* (-1n x2h+V+1
2n+V+1
3
r (n+1+v+1)
ーズ
レ+」 (x)
-V
Hence a [zVJ, (x)] = -x JvH (x)
(Proved)
%3D
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