Problem 51783. Solve an ODE: equation B

Chris,
I solved the first test suite symbolically to make sure I was on the right path an got:
[1.0, 6.4839432567518947511762312927844, 9.0049224364695494006414430797622, 8.992494072596270056922480305016, 6.9752731606055591524878412503205, 3.6901871946858786387135688683041, 0].
I am not sure why it would be wrong.
syms y(x)
Dy = diff(y);
a=1;p=0;
X=linspace(1,4,7);
ode=diff(y,x,2)==-Dy/x+(p^2/x^2-a^2)*y;
conds=[y(1)==1, y(4)==0];
ySol(x)=simplify(dsolve(ode,conds));
Y=vpa(ySol(X));

Sorry David. I made a mistake with the signs in the last term of the equation. I "modified" the problem description (quotes intentional). This version should work, but please let me know if it doesn't.