2.265   ODE No. 265

\[ 2 (n+1)^2 x^{n-1} \left (x^{n^2} y(x)^2-1\right )+\left (x^{n (n+1)} y(x)-1\right ) y'(x)=0 \] Mathematica : cpu = 251.655 (sec), leaf count = 0


, could not solve

DSolve[2*(1 + n)^2*x^(-1 + n)*(-1 + x^n^2*y[x]^2) + (-1 + x^(n*(1 + n))*y[x])*Derivative[1][y][x] == 0, y[x], x]

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))