# vector space/basis

• Aug 2nd 2010, 12:36 PM
james12
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 $P_2$: $xp'(x)=p(x)$}
• Aug 2nd 2010, 12:57 PM
lvleph
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.
• Aug 2nd 2010, 03:33 PM
james12
Ok thanks, got it now. basis will just be x and dimension will be 1
• Aug 2nd 2010, 03:41 PM
lvleph
Sounds right to me.