ms ion Co. % 5 9. (x²-2x)y" + 2y = 0; 10. x²y" - xy' + 2y = 0 ; 11. x²y" - y' + y = 0 ; Xxo 12. y" + (3x-1)y' - y = 0; T In Problems 13-19, find at least the first four nonzero terms in a power series nsion of the solution to the given initial value problem. F5 13. x' + (sint) x = 0; x(0) = 1 114. y'-e'y = 0; y(0) = 1 15. (x²+1)y" - ey' + y = 0; y(0) = 1, y'(0) 16. y" + ty' + ey = 0; 17. y" (sinx) y = 0; y (0) = 0, y(π) = 1, y' (0) = = -1 y' (π) = 0 A 6 Fó & 7 F7 U * 00 x = 1 Xo = 2 2 Xo = -1 8 FB ( 9 available until you sign in again. ) O = 1
ms ion Co. % 5 9. (x²-2x)y" + 2y = 0; 10. x²y" - xy' + 2y = 0 ; 11. x²y" - y' + y = 0 ; Xxo 12. y" + (3x-1)y' - y = 0; T In Problems 13-19, find at least the first four nonzero terms in a power series nsion of the solution to the given initial value problem. F5 13. x' + (sint) x = 0; x(0) = 1 114. y'-e'y = 0; y(0) = 1 15. (x²+1)y" - ey' + y = 0; y(0) = 1, y'(0) 16. y" + ty' + ey = 0; 17. y" (sinx) y = 0; y (0) = 0, y(π) = 1, y' (0) = = -1 y' (π) = 0 A 6 Fó & 7 F7 U * 00 x = 1 Xo = 2 2 Xo = -1 8 FB ( 9 available until you sign in again. ) O = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
Related questions
Question
question 14 please
Transcribed Image Text:ms
ion
Co.
%
5
9. (x²-2x)y" + 2y = 0;
10. x²y" - xy + 2y = 0 ;
11. x²y" — y' + y = 0 ;
12. y" + (3x-1)y' - y = 0;
T
6
F6
In Problems 13-19, find at least the first four nonzero terms
in a power series nsion of the solution to the given initial
value problem.
&
7
13. x' + (sint) x = 0;
x(0) = 1
114. y'-e'y = 0;
y(0) = 1
15. (x²+1)y" - e'y' + y = 0; y(0) = 1, y'(0) = 1
16. y" + ty' + e'y = 0;
17. y" (sinx) y = 0;
y(0) = 0,
y(π) = 1,
F7
U
* 00
x = 1
Xo = 2
8
Xo = 2
DII
FB
Xo = -1
(
9
available until you sign in again.
F9
)
0
y' (0) =
y' (π) = 0
= -1
+ 11
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