Given y-5y" – 25y" + 125y' = t² +9+ t sint, 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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Given y- 5y" – 25y" + 125y/ = t² + 9 + 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 v
Transcribed Image Text:Given y- 5y" – 25y" + 125y/ = t² + 9 + 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 v
taint
termir
Choose one
efficie
Aot + A1 + Bot cos t + Cot sin t
suitab
t(Aot + At + A2) + Bot cos t + Cot sin t
t(Agt? + At) + Bo cost + (C + Cit) sin t
Ant + Ajt + A, + (Bo + Bịt) cos t+ (Co Cit) sin t
t(Aot + A1) + Bo cost+Ch sint
Aot + At + A2 + By cos t + C sin t
t(Aot + At + A2) + (B, + Bit) cos t + (Co + Cit) sin t
t(Aot + A1) + (Bo+ Bt) cost+ (Co+ Cit) sin t
Transcribed Image Text:taint termir Choose one efficie Aot + A1 + Bot cos t + Cot sin t suitab t(Aot + At + A2) + Bot cos t + Cot sin t t(Agt? + At) + Bo cost + (C + Cit) sin t Ant + Ajt + A, + (Bo + Bịt) cos t+ (Co Cit) sin t t(Aot + A1) + Bo cost+Ch sint Aot + At + A2 + By cos t + C sin t t(Aot + At + A2) + (B, + Bit) cos t + (Co + Cit) sin t t(Aot + A1) + (Bo+ Bt) cost+ (Co+ Cit) sin t
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