The question is find the solution of:

clearly the coefficients in what i would write down to be the auxilliary equation are not constants. Ive been told by my solution to use y= but i dont see how this gives(in the solutions)

giving m=4 or m=-2. and the corrosponding complementary function. Does anyone have any ideas or could show me how the method actually cancels out the non constant coefficeints? thanks. oh i think you are supposed to use liebnitz?? not sure