ODE No. 395

\[ 2 f(x) y(x) y'(x)+g(x) y(x)^2+h(x)+y'(x)^2=0 \] Mathematica : cpu = 27.9498 (sec), leaf count = 0

DSolve[h[x] + g[x]*y[x]^2 + 2*f[x]*y[x]*Derivative[1][y][x] + Derivative[1][y][x]^2 == 0,y[x],x]
 

, could not solve

DSolve[h[x] + g[x]*y[x]^2 + 2*f[x]*y[x]*Derivative[1][y][x] + Derivative[1][y][x]^2 == 0, y[x], x]

Maple : cpu = 0. (sec), leaf count = 0

dsolve(diff(y(x),x)^2+2*f(x)*y(x)*diff(y(x),x)+g(x)*y(x)^2+h(x) = 0,y(x))
 

, could not solve

dsolve(diff(y(x),x)^2+2*f(x)*y(x)*diff(y(x),x)+g(x)*y(x)^2+h(x) = 0,y(x))