Answered: (k+1)! −1+ (k+1) ( K+1)! (k+1)! [₁ +…

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(k+1)! −1+ (k+1) ( K+1)! (k+1)! [₁ + (k+1)] = = (k+1)! (k+²) -1 (k+2)! - 1

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

Can you please explain how line 1 became line 2 and so on I am confused on the algerba.

= (k+1)! −1 + (K+1) (k+1)!
(k+1)! [ 1 + (k+1)] -1
=
= (k+1)! (k+²) -1
= (k+2)! ~1

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Follow-up Question

please explain to me why the first line gives (1+ k + 1) I have been stuck on this for a long time :( Thank you.

(k+ 1)! + (k+ 1)(k + 1)! − 1
||
=
(k+ 1)!(1+k+1)-1

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