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

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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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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