\[ -2 a^2 y(x)^3+2 a b x y(x)-b+y''(x)=0 \] ✗ Mathematica : cpu = 3.66284 (sec), leaf count = 0 , could not solve
DSolve[-b + 2*a*b*x*y[x] - 2*a^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*a^2*y(x)^3+2*a*b*x*y(x)-b=0,y(x))