Given the nonhomogenous differential equation y'' + 3y' + 2y = -10e^(3t), the roots are r = -2 & -1, & the characteristic eq'n is yc(x) = c1e^(-2t) + c2e^(-t) How do we go about setting up the particular solution? There is no repetition between terms so I know that we do not add a variable to the particular solution. Since we have -10e^3t do we set up the particular solution as yp(t) = -Ae^3t? OR just yp(t) = Ae^3t? I know that A just represents a constant but do I need to include the negative sign or not? Thank you.