\[ a y(x)^2+b x+c+y''(x)=0 \] ✗ Mathematica : cpu = 0.386586 (sec), leaf count = 0 , could not solve
DSolve[c + b*x + a*y[x]^2 + 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)+a*y(x)^2+b*x+c=0,y(x))