2. Consider the following differential equations. Determine the form of the particular solution, g,. for use in the method of undeter-

mined coefficients. Simply find the form of the particular solution without solving for the coefficients. Remember to check for

duplication with solutions to the homogeneous equation.

(a) 4y"+y=t-008 ()

(b) "5y+6y=cost-te

(c) "" "t²te^

(d) y(4)ytet + sint

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