I have a wee question, itd be great if I can get a solution for this. (I am putting it up on behalf of a friend as Im not really sure where to start, hes studying maths at uni.... Im a lazy engineer that asks mathemticians :) )
The question is
solve (1+x^2)y'' - xy'- 3y = 6x-3 with
y(1)=2 on [0,1]
hint: use central difference for each derivatives.