(a) For each differential equation in the following list, use the drop-down boxes to identify the order of the DE, as well as whether the DE is separable or linear. You may need to rearrange some DEs to be in standard form. Incorrect guesses incur a marks penalty, so if you are unsure you can choose not to select an answer. Differential Equation Order Separable Linear 1 . 3 day dy + + 1 = -2t 2 Yes dt2 dt 2. y"y =3- y' 2 3. Vy" ty =0 4. sin(x) y = y 1 dV 5. - et 1 Yes $ dt V(b) It is possible to solve one of the DEs in the list above by using its characteristic equation to find a homogeneous solution which is then combined with a particular solution to make the general solution. Which DE is this? 01 02 03 04 05 (c) Select all of the DEs in the list above that can be solved using an integrating factor. 01 02 03 04 05 (d) Select all of the DEs in the list above that can be solved using separation of variables. 01 02 03 04 05