y"" 1 x² ln x
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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Answer 6 and 8
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![III. Method of Variation of Parameters
1. y"+y'-6y= ex-3
2. (D²+1)y= sec² x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c12a73f-aad3-4d7d-ac65-d17b44b75179%2F28fc5f09-44fc-4b9c-854d-7ec265a54443%2Fdnfx4si_processed.jpeg&w=3840&q=75)
Transcribed Image Text:III. Method of Variation of Parameters
1. y"+y'-6y= ex-3
2. (D²+1)y= sec² x
![3. y" - 10y' + 25y: e⁹x+10
4. y' = x³ lnx
5. y"+y = cos² 2x
1
6. y" =
x² ln x
7. 6y" - 12y' + 6y = x
8. y" + 16y sec² (2x)
9. (D²+1)y= cotx
10. y" - 2y' + y =
=
ex
x²+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c12a73f-aad3-4d7d-ac65-d17b44b75179%2F28fc5f09-44fc-4b9c-854d-7ec265a54443%2Fgpie8vp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. y" - 10y' + 25y: e⁹x+10
4. y' = x³ lnx
5. y"+y = cos² 2x
1
6. y" =
x² ln x
7. 6y" - 12y' + 6y = x
8. y" + 16y sec² (2x)
9. (D²+1)y= cotx
10. y" - 2y' + y =
=
ex
x²+1
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