A third order linear, homogeneous DE whose general solution is y(t) = C₁et + C₂e³t + Сzet is: [Hint: The general solution implies that r=1,3 and 6 are the roots of the characteristic equation. Hence r-1, r-3 and r-6 are the factors of the characteristic equation.] OA y"" - 10y" - 27y' - 18y = 0 OB.y"" +10y" - 27y' - 18y = 0 Ocy" +10y" + 27y' - 18y = 0 OD. none of these OE y" - 10y" + 27y' - 18y = 0 Reset Selection

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