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" – 36y" + 216y' = t² +6+t sint, - table form for Y(t) if the method of undete: be used. Do not evaluate the constants. of y(t) is: one Choose one + A₁t+ A₂) + Bot cost + Cot sin t A₂+ (Bo + B₁t) cost+ (Co+C₁t) sin t ) + (Bo + B₁t) cost+ (Co + Cit) sint t + A₁+ Bot cost + Cot sint - A₂)+(Bo + B₁t) cost+ (Co+C₁t) sint + A₁t + A₂ + Bo cost + Co sint Aot + A₁) + Bo cost + Co sint + A₁t) + Bo cost+ (Co+C₁t) sint

" – 36y" + 216y' = t² +6+t sint, - table form for Y(t) if the method of undete: be used. Do not evaluate the constants. of y(t) is: one Choose one + A₁t+ A₂) + Bot cost + Cot sin t A₂+ (Bo + B₁t) cost+ (Co+C₁t) sin t ) + (Bo + B₁t) cost+ (Co + Cit) sint t + A₁+ Bot cost + Cot sint - A₂)+(Bo + B₁t) cost+ (Co+C₁t) sint + A₁t + A₂ + Bo cost + Co sint Aot + A₁) + Bo cost + Co sint + A₁t) + Bo cost+ (Co+C₁t) sint

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' = ť² +6+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 ▼ = Choose one t(Aot² + A₁t + A₂) + Bot cost + Cot sin t Aot² + A₁t+ A2+ (Bo + B₁t) cost+ (Co + C₁t) sin t t(Aot + A₁) + (Bo + B₁t) cost+ (Co+C₁t) sin t Aot + A₁+ Bot cost + Cot sin t t(Aot² + A₁t + A₂) + (B₁ + B₁t) cost+ (Co+C₁t) sin t Aot² + A₁t + A2+ Bo cost + Co sin t t(Aot + A₁) + Bo cost + Co sint t(Aot² + A₁t) + Bo cost+ (Co+C₁t) sin t n
Transcribed Image Text:Given y(4) 6y"" — 36y" +216y' = ť² +6+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 ▼ = Choose one t(Aot² + A₁t + A₂) + Bot cost + Cot sin t Aot² + A₁t+ A2+ (Bo + B₁t) cost+ (Co + C₁t) sin t t(Aot + A₁) + (Bo + B₁t) cost+ (Co+C₁t) sin t Aot + A₁+ Bot cost + Cot sin t t(Aot² + A₁t + A₂) + (B₁ + B₁t) cost+ (Co+C₁t) sin t Aot² + A₁t + A2+ Bo cost + Co sin t t(Aot + A₁) + Bo cost + Co sint t(Aot² + A₁t) + Bo cost+ (Co+C₁t) sin t n
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