Consider the differential equation $x''-(2t/1-t^2)x'+(2/1-t^2)x=0$ for $t$ in $(-1,1)$.
Show that $x(t)=t$ is a solution and find a second linearly independent solution $y(t)$.
So I get how to solve the equation and that $t$ is a solution, but how do I find another linearly independant solution?
Any help or suggestions much appreciated. I'm new here so sorry if I have done anything wrong!