# Math Help - vector space/basis

1. ## vector space/basis

Hi guys, really stuck on this one, help would be greatly appreciated=)

After finding the dimension of the vector space A,give a basis for A.

$A=${ $p(x)$in $P_2$: $xp'(x)=p(x)$}

2. You will want to solve the DEQ using separation of variables. This will give a family of solutions. You can then probably see the basis.

3. Ok thanks, got it now. basis will just be x and dimension will be 1

4. Sounds right to me.