Find two power series solutions of the given differential equation about the ordinary point x = y" + x²y' + xy = 0 0. Oy₁ = 1 - 12 2 14 1 1 + and y2=x- + 8 3 15 = + -1/4- 1 and = x Y2 - + 10 120 Oy₁ = 1- 3 5 1 1 6 + and Y2 = x - + -X - 672 3 15 1 1 = - + and Y₂ = X - 하다. 5 + -X 45 5 8 = - + and 1 .5 252 = x Y2 - -x + 1 9 -X 12 672 10 120

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find two power series solutions of the given differential equation about the ordinary point x =
y" + x²y' + xy = 0
0.
Oy₁ = 1 -
12
2
14
1
1
+
and y2=x-
+
8
3
15
=
+
-1/4-
1
and
= x
Y2
-
+
10
120
Oy₁ = 1-
3
5
1
1
6
+
and
Y2
= x -
+
-X
-
672
3
15
1
1
=
-
+
and
Y₂
= X
-
하다.
5
+
-X
45
5 8
=
-
+
and
1 .5
252
= x
Y2
-
-x +
1 9
-X
12
672
10
120
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = y" + x²y' + xy = 0 0. Oy₁ = 1 - 12 2 14 1 1 + and y2=x- + 8 3 15 = + -1/4- 1 and = x Y2 - + 10 120 Oy₁ = 1- 3 5 1 1 6 + and Y2 = x - + -X - 672 3 15 1 1 = - + and Y₂ = X - 하다. 5 + -X 45 5 8 = - + and 1 .5 252 = x Y2 - -x + 1 9 -X 12 672 10 120
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