ODE No. 461

\[ a(x) y'(x)^2+2 b(x) y(x) y'(x)+c(x) y(x)^2+2 d(x) y'(x)+2 e(x) y(x)+f(x)=0 \] Mathematica : cpu = 300.062 (sec), leaf count = 0

DSolve[f[x] + 2*e[x]*y[x] + c[x]*y[x]^2 + 2*d[x]*Derivative[1][y][x] + 2*b[x]*y[x]*Derivative[1][y][x] + a[x]*Derivative[1][y][x]^2 == 0,y[x],x]
 

, timed out

$Aborted

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

dsolve(d0(x)*diff(y(x),x)^2+2*b0(x)*y(x)*diff(y(x),x)+c0(x)*y(x)^2+2*d0(x)*diff(y(x),x)+2*e0(x)*y(x)+f0(x) = 0,y(x))
 

, could not solve

dsolve(d0(x)*diff(y(x),x)^2+2*b0(x)*y(x)*diff(y(x),x)+c0(x)*y(x)^2+2*d0(x)*diff(y(x),x)+2*e0(x)*y(x)+f0(x) = 0,y(x))