Given y4)-6y" — 36y" +216y' = 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) = Aot² + A₁t + A2 + (B0 + B₁t) cost+ (Co + C₁t) sin t

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