\[ y''(x)-\frac {1}{\left (a y(x)^2+b x y(x)+c x^2+d y(x)+e x+k\right )^{3/2}}=0 \] ✗ Mathematica : cpu = 60.4184 (sec), leaf count = 0 , could not solve
DSolve[-(k + e*x + c*x^2 + d*y[x] + b*x*y[x] + a*y[x]^2)^(-3/2) + Derivative[2][y][x] == 0, y[x], x]
✓ Maple : cpu = 43.954 (sec), leaf count = 8413
\[\text {Expression too large to display}\]