In Problems 21-28, use the procedure illustrated in Problem 20 to find at least the first four nonzero terms in a power series expansion about x = 0 of a general solution to the given differential equation. 21. y' xy sin a = 22. w' + xwe 23. 2" + x2 + 2 = x² + 2x + 1 24. y" - 2xy' + 3y = x² 25. (1+x²)y" - xy' +y=e=² 26. y" xy' + 2y = cos x 27. (1-x²)y" - y' + y = tan x

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Number 25
In Problems 21-28, use the procedure illustrated in Problem 20 to find at least the first
four nonzero terms in a power series expansion about x
=
0 of a general solution to
the given differential equation.
21. y' - xy = sin a
22. w' + xw =
23. 2" + x2 +2 = x² + 2x + 1
24. y" - 2xy' + 3y = x²
25. (1+x²)y" — xy' +y=e=²
= ez
26. y" - xy + 2y = cosx
27. (1-x²)y" — y' + y = tan x
28. y" (sinx)y = cos x
Transcribed Image Text:In Problems 21-28, use the procedure illustrated in Problem 20 to find at least the first four nonzero terms in a power series expansion about x = 0 of a general solution to the given differential equation. 21. y' - xy = sin a 22. w' + xw = 23. 2" + x2 +2 = x² + 2x + 1 24. y" - 2xy' + 3y = x² 25. (1+x²)y" — xy' +y=e=² = ez 26. y" - xy + 2y = cosx 27. (1-x²)y" — y' + y = tan x 28. y" (sinx)y = cos x
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