1. y" + 3y + 2y = 2. 3. 4. 1 1 + ex y" + 3y + 2y = sin e* y" + y = sec Otan 9x y"-9y=3x 5. 4y" - y = xe/², y(0) = 1,y′(0) = 0 6. 2y"+y'-y = x + 1, y(0) = 1,y'(0) = 0

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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Question

Solve the following ODEs of higher order variation of parameters

1
1 + ex
y" + 3y + 2y = sin e*
y" + y = sec Otan
9x
y"-9y=
e3x
1. y" + 3y + 2y =
2.
3.
4.
x/2
5. 4y"-y=xe¹², y(0) = 1,y'(0) = 0
6. 2y"+y'-y = x + 1, y(0) = 1,y'(0) = 0
Transcribed Image Text:1 1 + ex y" + 3y + 2y = sin e* y" + y = sec Otan 9x y"-9y= e3x 1. y" + 3y + 2y = 2. 3. 4. x/2 5. 4y"-y=xe¹², y(0) = 1,y'(0) = 0 6. 2y"+y'-y = x + 1, y(0) = 1,y'(0) = 0
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