please make answer easy to read

\fFind a general solution to the following higher-order equations. (a) y'"' -y" + 4y' + 6y=0 (b) y""'+y" + y' - 39y =0 (c) y + 17y" + 16y =0 (a) What are the roots of the auxiliary equation? The roots are (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(1) =_ (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) (b) y(t) =] (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.) (c) y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)