2.1802   ODE No. 1802

1. Problem in Latex
2. Mathematica input
3. Maple input

$$-a{x}^2-bx-c+2y(x{)}^3{y}^{″}(x)+y(x{)}^2{y}^{\prime }(x{)}^2=0$$ ✗ Mathematica : cpu = 0.342285 (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))