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Given y(4) 10y" — 100y" + 1000y' = 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) = t(Aot² + A₁t + A₂) + (Bo + B₁t) cost + (Co + C₁t) sin t

Given y(4) 10y" — 100y" + 1000y' = 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) = t(Aot² + A₁t + A₂) + (Bo + B₁t) cost + (Co + C₁t) sin t

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) 10y" — 100y" + 1000y' = 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) = t(Aot² + A₁t + A₂) + (Bo + B₁t) cost + (Co + C₁t) sin t
Transcribed Image Text:Given y(4) 10y" — 100y" + 1000y' = 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) = t(Aot² + A₁t + A₂) + (Bo + B₁t) cost + (Co + C₁t) sin t
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