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Solution:- Given differential equation isy^('')-3y^(')+5y=6t^(2)+9t+4Assiceme that{:[y_(p)(t)=At^(2)+Bt+C],[:.y_(p)^(')(t)=2At+B],[y_(p)^('')(t)=2A quad" pat in (1) "],[:.2A-3(2At+B)+5(At^(2)+Bt+C)=6t^(2)+9t+4],[2A-6At-3B+5At^(2)+5Bt+5C=6t^ ... See the full answer