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Given y(4) - 2y" - 4y" + 8y' = t² + 7 + tsint, 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

Given y(4) - 2y" - 4y" + 8y' = t² + 7 + tsint, 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
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) - 2y" - 4y" + 8y' = t² +7 + tsint, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. ab A suitable form of y(t) is: Y(t)= Choose one y (4) ..!!! in el 42 71 taint m Choose one Aot2 + A₁t+ A2+ Bo cost + Co sin t t(Aot+ A₁) + (Bo + Bit) cost+ (Co + Cit) sin t t(Aot2 + Alt + A2) + Bot cost + Cot sin t t(Aot2 + A₁t) + Bo cost+ (Co+C₁t) sint Aot + A1+Bot cost + Cot sin t t(Aot+ A₁) + Bo cost + Cosint d t(Aot² + A₁t+ A₂)+(Bo + Bit) cost + (Co + Cit) sin t Aot2 + A₁t+ A2+ (Bo + Bit) cost+ (Co+Cit) sint
Transcribed Image Text:Given y(4) - 2y" - 4y" + 8y' = t² +7 + tsint, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants. ab A suitable form of y(t) is: Y(t)= Choose one y (4) ..!!! in el 42 71 taint m Choose one Aot2 + A₁t+ A2+ Bo cost + Co sin t t(Aot+ A₁) + (Bo + Bit) cost+ (Co + Cit) sin t t(Aot2 + Alt + A2) + Bot cost + Cot sin t t(Aot2 + A₁t) + Bo cost+ (Co+C₁t) sint Aot + A1+Bot cost + Cot sin t t(Aot+ A₁) + Bo cost + Cosint d t(Aot² + A₁t+ A₂)+(Bo + Bit) cost + (Co + Cit) sin t Aot2 + A₁t+ A2+ (Bo + Bit) cost+ (Co+Cit) sint
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