Match each of the differential equations with a solution from the list below.
1. 2x^2 * y'' + 3xy' = y
2. y'' + 12y' + 36y = 0
3. y'' - 12y' + 36y = 0
4. y'' + y = 0
And then the possible solutions A-D
The Attempt at a Solution
This is from a web assignment from a ODE course which just started. We have only cover first order linear, homogenous ODE's and vairable seperable. I have no idea where to start here. Am I just overlooking something? Do I need to work backwards from the solutions? Any help to get me started would be greatly appreciated.