2.1729   ODE No. 1729

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

$$a+f(x)y(x{)}^2+2y(x)y^{″}(x)-y^{\prime }(x{)}^2=0$$ ✗ Mathematica : cpu = 0.0229822 (sec), leaf count = 0 , could not solve

DSolve[a + f[x]*y[x]^2 - Derivative[1][y][x]^2 + 2*y[x]*Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve(2*diff(diff(y(x),x),x)*y(x)-diff(y(x),x)^2+f(x)*y(x)^2+a=0,y(x))