7. 6y" - 12y' + 6y = x
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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Answer 6, 7 and 8
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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
Transcribed Image Text:III. Method of Variation of Parameters
1. y"+y'-6y= ex-3
2. (D²+1)y= sec² x
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