Please solve the problem on the picture. This is Differential Equations problem. Your work and solutions will be appreciated much and I want to use it as my notes. Thank you so much!

Find the general solution. When the operator D is used, it is implied that the independent variable is x. 1. (D' - 30' -D + 3)y = 0 2. (403-270 +27)y =0 3. (D' -40 + 7)y = 0 4. 1004-N 20-+ N= 0 5. y" - 8y' + 16y = 0