Q7. Let y(x) = Enzo anxn be a solution of y" + xy + y = 0. If the recurrence relation is given by (n + 2) an+2+ an = 0 n ≥ 0, then the general solution can be written as y(x) = x³ (a) ao [1-+-+a₁ [x - 5+15) x5 8 (b) ao [1- (c) ao [1+ 4 x² + T (d) ao [1-1/2 (e) ao [x - ²+ 2 + 2002/00 100 100 8 8 8 24 8 - - 3 ...] + α₁ [x - ²/5 + 1/5 - ...) x3 x5 x³ ...] + a₁ [x - 3+15-...] x5 x5 x7 ..] + a₁ [2³² - ² + 1 - ...) 3 15 x³ x5 [1-+--- 3 15 ...] + a₁ [1-
Q7. Let y(x) = Enzo anxn be a solution of y" + xy + y = 0. If the recurrence relation is given by (n + 2) an+2+ an = 0 n ≥ 0, then the general solution can be written as y(x) = x³ (a) ao [1-+-+a₁ [x - 5+15) x5 8 (b) ao [1- (c) ao [1+ 4 x² + T (d) ao [1-1/2 (e) ao [x - ²+ 2 + 2002/00 100 100 8 8 8 24 8 - - 3 ...] + α₁ [x - ²/5 + 1/5 - ...) x3 x5 x³ ...] + a₁ [x - 3+15-...] x5 x5 x7 ..] + a₁ [2³² - ² + 1 - ...) 3 15 x³ x5 [1-+--- 3 15 ...] + a₁ [1-
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
![Q7. Let y(x) = Enzo anan be a solution of y" + xy' + y = 0.
If the recurrence relation is given by
(n + 2) an+2+ an = 0
n ≥ 0,
then the general solution can be written as y(x) =
(a) ao [1-2/+
(b)
ao [1-
(c) ao [1+
(d) ao [1-
(e) ao [x
T
NANAA NE A/8
x²
x²
+
8
T
$100 100 100 100
+
+
-
24
T
...] + a₁ [x -
-
-
x³
x5
+
3 15
x3 x5
-+-...]
15
-...] + a₁ [x -
...] + a₁ [x³
...] + a₁ [1-
-
T
...] + a₁ [x -
x³
+
x5
co/8
15
x5 x7
+
3 15
x³ x5
-
+
15
-
...]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6786f013-643c-4548-9b80-003a487634b7%2F205c42df-7045-4ac3-abbb-4b7e26740420%2Fo5na8vg_processed.png&w=3840&q=75)
Transcribed Image Text:Q7. Let y(x) = Enzo anan be a solution of y" + xy' + y = 0.
If the recurrence relation is given by
(n + 2) an+2+ an = 0
n ≥ 0,
then the general solution can be written as y(x) =
(a) ao [1-2/+
(b)
ao [1-
(c) ao [1+
(d) ao [1-
(e) ao [x
T
NANAA NE A/8
x²
x²
+
8
T
$100 100 100 100
+
+
-
24
T
...] + a₁ [x -
-
-
x³
x5
+
3 15
x3 x5
-+-...]
15
-...] + a₁ [x -
...] + a₁ [x³
...] + a₁ [1-
-
T
...] + a₁ [x -
x³
+
x5
co/8
15
x5 x7
+
3 15
x³ x5
-
+
15
-
...]
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