We are given the equation,
And we have to get the dimension of solution space in $(-1,1)$.
My Attempt: I tried substituting $$x=e^z$$ and I get from that, the following,
and concluded that dimension is $2$. But, I realize that at $x=0$, my ODE in standard form will face issues, and this solution may not work. How do I go about solving this?