In each of Problems 13 through 18 determine a suitable form for Y (t) if the method of unde- termined coefficients is to be used. Do not evaluate the constants. 13. y" – 2y" +y' = t³ + 2e' 14. y" – y' = te¬' +2 cos t

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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problem 13

In each of Problems 13 through 18 determine a suitable form for Y(t) if the method of unde-
termined coefficients is to be used. Do not evaluate the constants.
13. y" – 2y" + y' = t³ + 2e'
15. y4) – 2y" + y = e' + sin t
17. y4) – y" – y" +y' = t² + 4 +t sin t
14. y" – y' = te-' +2 cos t
16. y + 4y" = sin 2t + te' +4
18. y() + 2y" + 2y" = 3e' + 2te-+e=l sin t
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Transcribed Image Text:In each of Problems 13 through 18 determine a suitable form for Y(t) if the method of unde- termined coefficients is to be used. Do not evaluate the constants. 13. y" – 2y" + y' = t³ + 2e' 15. y4) – 2y" + y = e' + sin t 17. y4) – y" – y" +y' = t² + 4 +t sin t 14. y" – y' = te-' +2 cos t 16. y + 4y" = sin 2t + te' +4 18. y() + 2y" + 2y" = 3e' + 2te-+e=l sin t -
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