I got a problem with solving a second order ODE.
The ODE is :
-V(xi)+(1/2)*xi*(diff(V(xi), xi))+(1/4)*(diff(V(xi), xi, xi))=-(1/2)*k2*(diff(H(xi), xi))-k1*n*X/E+1+k2
where k1,k2,n,X,E all are constant.
the condition is :
V(xi) tends to 2*xi^2 as xi tends to infinity.
I used 'dsolve' to solve the equation firstly, and got a solution with two constant C1 and C2, I want to use the condition to elimilate C2, so I used limit(sol,xi=infinity)=2*xi^2. But when I used the command 'limit', I can't get the answer.
Could any one help me?