\[ -a x^2-b x-c+2 y(x)^3 y''(x)+y(x)^2 y'(x)^2=0 \] ✗ Mathematica : cpu = 0.355291 (sec), leaf count = 0 , could not solve
DSolve[-c - b*x - a*x^2 + y[x]^2*Derivative[1][y][x]^2 + 2*y[x]^3*Derivative[2][y][x] == 0, y[x], x]
✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve
dsolve(2*y(x)^3*diff(diff(y(x),x),x)+y(x)^2*diff(y(x),x)^2-a*x^2-b*x-c=0,y(x))