y" + any' + 3y =0 (i+2)(ir) a;g + aia; + 3a; =O j (j-1) a; + 2(j-2)a; +3af-z =O -2lj-2) -3 a; = -aj-2 j (5-1) 1-25 aj-2 j lj-1) %3D T- 2l2> 2(2-1) *** X 1- 2 (4) |- 216) 6(6-1) ***X •• X +... %3D 4(4-1) -3 2 -3 -7 -3 30 = )-를 x 7 ,4 구구 240 X T -3(3) 3. 1-215) 1-2(7) ,구 9 3 (3-15 ** X = X + ... (1-t)t + -13 -9-5 7 42'20° Ğ 20 3 =x - E x3 + * X.
y" + any' + 3y =0 (i+2)(ir) a;g + aia; + 3a; =O j (j-1) a; + 2(j-2)a; +3af-z =O -2lj-2) -3 a; = -aj-2 j (5-1) 1-25 aj-2 j lj-1) %3D T- 2l2> 2(2-1) *** X 1- 2 (4) |- 216) 6(6-1) ***X •• X +... %3D 4(4-1) -3 2 -3 -7 -3 30 = )-를 x 7 ,4 구구 240 X T -3(3) 3. 1-215) 1-2(7) ,구 9 3 (3-15 ** X = X + ... (1-t)t + -13 -9-5 7 42'20° Ğ 20 3 =x - E x3 + * X.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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
Transcribed Image Text:HWIO # Chonges
you
+ axy' + 3y =0
2ia; + 3a; =c
+
-ac;-2) -3
a;=
j (5-1)
1-25 aj-2
j lj-1)
| - 2 l2>
2(2-1)**X
1-2(4)
4(4-1) *** X
T-216)
%3D
...
+...
Xo.. (l-9)9
=l+ x +
-구
니
구-3
·을 .x
12
30
= | - X
구
6
구구
240 X
1-2(3기
X +313-1)
T-215)
515-1)**X
.3
192=x+
• x³ +
1-217)
7
...
...
=X + Ex +
-13 -9
42'20
구
E x3
3
13

Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0:
y" – 2xy' + y = 0.(Please write four terms in each blank)
Y1 =
1-3/2x^2+7/8x^4
+... and y2
x-5/6x^3+3/8x^5
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