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Given y(4) – 6y" – 36y" + 216y' = t² – 7 + 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 y(4) – 6y" – 36y" + 216y' = t² – 7 + 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) – 6y" – 36y" + 216y' = t² – 7+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) – 6y" – 36y" + 216y' = t² – 7+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
t(Aqt? + A¡t + A2) + Bot cost + Cot sin t A suital t(Aot? + Ajt) + Bo cos t + (Co + C\t) sin t Y (t) = Aot? + Ajt + A2 + (Bo+ Bịt) cos t + (Co + Cit) sin t Aot + A1 + Bot cos t + Cot sin t t(Aot + Ajt + A2) + (Bo+ Bịt) cos t + (Co+ Cıt) sin t Aot? + Ajt + A2 + Bo cos t + Co sin t t(Aot + A1) + Bo cos t + Co sin t t(Ant + Aj)+ (Bo+ Bit) cos t + (Co+Cit) sin t
Transcribed Image Text:t(Aqt? + A¡t + A2) + Bot cost + Cot sin t A suital t(Aot? + Ajt) + Bo cos t + (Co + C\t) sin t Y (t) = Aot? + Ajt + A2 + (Bo+ Bịt) cos t + (Co + Cit) sin t Aot + A1 + Bot cos t + Cot sin t t(Aot + Ajt + A2) + (Bo+ Bịt) cos t + (Co+ Cıt) sin t Aot? + Ajt + A2 + Bo cos t + Co sin t t(Aot + A1) + Bo cos t + Co sin t t(Ant + Aj)+ (Bo+ Bit) cos t + (Co+Cit) sin t
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