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Given y4) – 9y" – 81y" + 729y' = t² – 10 +t sin t, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants.

Given y4) – 9y" – 81y" + 729y' = t² – 10 +t sin t, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants.

Advanced Engineering Mathematics
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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Given y(4) – 9y/" – 81y" + 729y = t² – 10 + t sin t, determine a suitable form for Y (t) if the method of undetermined - - coefficients is to be used. Do not evaluate the constants. A suitable form of Y (t) is: Y (t) = [Choose one▼
Transcribed Image Text:Given y(4) – 9y/" – 81y" + 729y = t² – 10 + t sin t, determine a suitable form for Y (t) if the method of undetermined - - coefficients is to be used. Do not evaluate the constants. A suitable form of Y (t) is: Y (t) = [Choose one▼
+2 Given y determir coefficiei 101 tsint d Choose one t(Aot + A1) + Bọ cos t + Co sin t A suital t(Agt? + At + A2) + (Bo + Bit) cos t + (Co + Cit) sin t Y (t) = t(Aot + A1) + (Bo+ Bịt) cos t + (Co+ Cit) sin t Aot? + Ajt + A2 + Bo cost + Có sin t Aot? + Ait + A2 + (Bo+ Bịt) cos t + (Co + C;t) sin t t(Aot? + Ajt + A2) + Bot cos t + Cot sin t Aot + A1 + Bot cos t + Cot sin t t(Aot? + Ajt) + Bo cost + (Co + C,t) sin t
Transcribed Image Text:+2 Given y determir coefficiei 101 tsint d Choose one t(Aot + A1) + Bọ cos t + Co sin t A suital t(Agt? + At + A2) + (Bo + Bit) cos t + (Co + Cit) sin t Y (t) = t(Aot + A1) + (Bo+ Bịt) cos t + (Co+ Cit) sin t Aot? + Ajt + A2 + Bo cost + Có sin t Aot? + Ait + A2 + (Bo+ Bịt) cos t + (Co + C;t) sin t t(Aot? + Ajt + A2) + Bot cos t + Cot sin t Aot + A1 + Bot cos t + Cot sin t t(Aot? + Ajt) + Bo cost + (Co + C,t) sin t
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