I am having problem solving an ODE.
This is the equation:
$(x-1)y'' - (x+1)y' + 2y = 0$
So I started with y1 = ax^2 + bx + c, and since this is a solution I substituted its first and second order derivative on the equation and I got stuck here: bx + 2c - 2a = 0
Can anyone help?
(I tried another example that had an exponential solution and it worked cuz I could factor stuff and all but here it's just ?! Maybe I did sth wrong?)