Solution: Given that →→ Sesung solution for Hermpte 's y" - Dxy + 2xy = 0 Let y = M8 8W & M8 हैं Y=0 dy dx d'y ar x Str M8 r=0 → indicial → Coefficient 20 S (S-1) Teo By puting value in Ⓒ 을 Σ T=O be Solution ar (S+r) x S+r-1 95 € ar [(+1) (145-1) ₂²4-2 SAY at ar(str) (s+x-1) ar S+Y-& + r [(str) (@+r-1) xStr-2₁. (s+₁) ++ e deg x San defferential quali ů. x 5+-2 -2 (s+1-2]x² -2] ****]. obtained by zelo 10

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Given that :
→> Seaving solution for Hermite's
Let
y =
हैं
Yo
dy
dx
$
ar I
ar
+ 2xy = 0
3tr
By puting value
हैं
Y=O
→ indicial
→ Coefficient
20 S (S-1)
ro
Σar (5+1)x Str-1
r=0
9
be
· [(str) (@+r-1) x³ +²
PO
{ ar [(str) (s+r-1); fer-d
T-0
C
ar(str) (str-1) I 5+r-2
S+Y-&
differential equation
Solution &
at xs-d
1-2 (str) +²12 de
2.
- 2 (²+1-83 x ²+1] = 0
obtained by
2elo
10
Transcribed Image Text:Given that : →> Seaving solution for Hermite's Let y = हैं Yo dy dx $ ar I ar + 2xy = 0 3tr By puting value हैं Y=O → indicial → Coefficient 20 S (S-1) ro Σar (5+1)x Str-1 r=0 9 be · [(str) (@+r-1) x³ +² PO { ar [(str) (s+r-1); fer-d T-0 C ar(str) (str-1) I 5+r-2 S+Y-& differential equation Solution & at xs-d 1-2 (str) +²12 de 2. - 2 (²+1-83 x ²+1] = 0 obtained by 2elo 10
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