\[ 2 (n+1)^2 x^{n-1} \left (x^{n^2} y(x)^2-1\right )+\left (x^{n (n+1)} y(x)-1\right ) y'(x)=0 \] ✗ Mathematica : cpu = 300.081 (sec), leaf count = 0 , timed out
$Aborted
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve((x^(n*(n+1))*y(x)-1)*diff(y(x),x)+2*(n+1)^2*x^(n-1)*(x^(n^2)*y(x)^2-1) = 0,y(x))