Need help with a few parts from each:

(1 point) Given the third order homogeneous constant coefficient equation 3/\" + 5)\" + 9y' + 5y = 0 'lithe auxiliary equation is ar3 + bar2 + or + d = r"3+5r"2+9r+5 = 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; , 3:3) (1 point) Given the fourth order homogeneous constant coefficient equation y" + 5y" + 4y = 0 1) the auxiliary equation is ar+ + br + cr2 + dr + e = r^4+5r^2+4 = 0. 2) The roots of the auxiliary equation are i, -i, 2i, -2i (enter answers as a comma separated list). 3) A fundamental set of solutions is (Enter the fundamental set as a commas separated list y1 , y2, y3 , V4). Therefore the general solution can be written as y = C1y1 + C2)2 + C3)3 + C414. 4) Use this to solve the IVP with y(0) = 2, y' (0) = 1, y" (0) = -5, y""(0) = -13 y( x) =(1 point} Given the third order homogeneous constant coefficient equation 3/\" + 11)\" + 40y' + 48y = 0 1) the characteristic polynomial (H3 + bi"2 + cr + d is rA3+11rA2+40r+48 . 2) The roots of auxiliary equation are C] (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 = e"(3x)+e'\\(-4x)+xe'\\(-4x)