I'm doing homework on "General Theory for Linear Differential Equations" in my Differential Equations and Linear Algebra class and some of the questions are hard to find information on. There is an example problem below that represents the set of problems. I understand the concept of finding the kernel of a linear transformation, and I understand that Ly must equal zero to find it, but I'm having trouble figuring out how to find y to multiply L by. I'd really appreciate a generalized explanation to go with this problem. Here is the example problem:
Computer Ker(L).
L = D - 2x
Thanks in advance guys.
Edit: D is the derivative operator and not a variable.