\[ a+y''(x)-2 y(x)^3-x y(x)=0 \] ✗ Mathematica : cpu = 1.17143 (sec), leaf count = 0 , could not solve
DSolve[a - x*y[x] - 2*y[x]^3 + Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(diff(diff(y(x),x),x)-2*y(x)^3-x*y(x)+a=0,y(x))