Please help with the following few:

('1 point) Given the third order homogeneous constant coefficient equation y'\" + 53/' + 93/ + 5y = 0 1) the auxiliary equation is M3 + bi"2 + or + d = = 0. 2) The roots of the auxiliary equation are (enter answers as a comma separated list). 3) A fundamental set of solutions is (Enter the fundamental set as a commas separated list yl , y: , y3) (1 point) Given the fourth order homogeneous constant coefficient equation J!\" + 5y\" + 4y = 0 1)the auxiliary equation is ar4 + br3 + or2 + dr + e = = 0. 2) The roots of the auxiliary equation are (enter answers as a comma separated list). 3) A fundamental set of solutions is (Enter the fundamental set as a commas separated list yl , y2, y3, y4). Therefore the general solution can be written as y = (:1 yl + 62322 + c3323 + C4324. 4) Use this to solve the IVP with y(0) = 2, y'(0) = 1, 3/10): 5, 3/\"(0) = 13 y(x) = (1 point) Given the third order homogeneous constant coefficient equation y" + 113;\" + 403/ + 48y = 0 1} the characteristic polynomial air3 + br2 + cr + d is 2) The roots of auxiliary equation are (enter answers as a comma separated list). 3) A fundamental set of solutions is (enter answers as a comma separated list). 4} Given the initial conditions y(0) = 0. y' (0) = 1 and y\"(0) = 6 nd the unique solution to the IVP y =