So we were given a couple practice problems to learn about characteristic polynomials..

However the book is very confusing to me and I can't find a whole lot of resource for two particular problems that are very similar...

If someone could point me in the right direction (material wise) to learning how to solve this I would appreciate it because I am very stumped.

USE the characteristic polynomial to solve the diffEq:

2y''-2iy'+12y=0

Please show me where I could learn to solve these types of problems, thank you!