12. (D²-3D+2) y = e²x/(1+e²x). 12 (D2 201
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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solve for number 12

Transcribed Image Text:In Exercises 1 through 18, use variation of parameters.
1. (D²1)y=e* + 1.
2. (D? + 1)y = CSC.x cot.x.
3. (D²+1)y csc x.
4. (D²+2D + 2)y = ex csc x.
(D2+1)y sec³ x.
sec¹ x.
(D²+1)y
=
5.
6.
7. (D²+1)y=tan.x.
=
8. (D²+1)y= tan² x.
9. (D²+1)y= sec x csc x.
10. (D²+1)y= sec² x csc x.
11. (D²-2D+1)y=e²x (ex+1)-².
12. (D²-3D+2) y = e²x/(1+e²x).
13. (D² - 3D + 2) y = cos (e-*).
(D²1)y= 2(1-e-2x)-1/2
14.
15. (D²1)y=e-2x sin e-*.
16. (D-1)(D-2) (D-3)y=et.
y"" - y'=x.
17.
18.
'+y' = tan x.
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