2. Explain how to solve the following differential equations. What method would you use to solve it? How did you gure out which method to use? Share a sketch of the solution. Give at least one possible interval of existence for each part. (For this problem I would suggest to have the solutions written out in detail prior to making the video. Then while making the video - just explain the important parts listed above) (a) my\" + y' = 2:1: 00) y\" 2y' + y = $261 with y(0) = 1,2110) = 1 (c) y\" + 93} = 1 with y(0) = 0 and y'(pi) = 0 (d) g: = tan2(:1: + y) with y(0) = Iii/4 (You can omit the part about nding the interval of existence for this one)