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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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Transcribe the following text in digital format please

Transcribed Image Text:Binomial theorem
2
2
(а+упа і перех-ч
Бед
дейсо ку,
уп.
det pens: (x+y)= = психонне учи пож+ ?а, жону +--1 псику?.
деб
(a) first allowable variable for
(ax+4)' = хх+у.
Ё пен ха-куп
I
850
:: Pengis true for n=1.
(b) Let us
assume
к
(x+y) ка
пок
that pons is true for nok.
пен
ха-кук.
720
к со китка, акнурка **-гул + --+ как ук
Now,
(а+узина касо
коходот 'с, ху
и ту
We shall prove that pens is true for mokyl.
maktı.
арата ана, жку +. Кнс 2 як- y2+--+
г
того, Санузкне (а+у (х+у) к
5 - 1.
+--+
then yu)
(Using (11)
=(x+y) (скс **+ке, ожинут не, ха-гу2+
- 1
3
2
сксжина ка, яку тке2 **-1y2+--+k ски хукн
+ кси хук + кетанука ксо хку тка, акнаў2+
ка, як гуз+--+ Кски хук. тиск укн
= Ксо акн+ска, thco) жку +(ketka, Јокнуч
+---+ (Как + кски) ядке как ука
- кнсо акна кна, жкут
КТС
вклуч
куд
+
2
жукт
кнска укн
cusing инсож ксо, кстрисно, а
Ск
ktl
-: (а+у) кон с касо
=
-:pens is true for nakti.
, Кн сы
кнсин укн
(es. Klence, pcn) is true for 1.
... Binomial themnem is proved. (Answer)
tng
кск
жина кна, хкут кас, жину 2+--+
с
к некн=1)
у кнсан укн.
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