Question: solve complex boundary condition

hi, i cant solve the following ODE and Boundary conditions in maple. please help me. i use dsolve and ode analyser but i cant receive and conclusion. thanks.

 

restart:
#beta:=.01;
#lambda:=.3;
s:=f(x)^2*diff(f(x),x,x)+x*f(x)*(1-2*beta)+beta*diff(f(x),x)*(x^2-1);
 
bcs:=f(1)=0,D(f)(-lambda)*f(-lambda)=beta*(lambda^2-1);
     

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