2.1777   ODE No. 1777

f0(x)y(x)y(x)+f1(x)y(x)2+f2(x)y(x)y(x)+f3(x)y(x)2=0

Mathematica : cpu = 47.4376 (sec), leaf count = 0

DSolve[f3[x]*y[x]^2 + f2[x]*y[x]*Derivative[1][y][x] + f1[x]*Derivative[1][y][x]^2 + f0[x]*y[x]*Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[f3[x]*y[x]^2 + f2[x]*y[x]*Derivative[1][y][x] + f1[x]*Derivative[1][y][x]^2 + f0[x]*y[x]*Derivative[2][y][x] == 0, y[x], x]

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

dsolve(f0(x)*y(x)*diff(diff(y(x),x),x)+f1(x)*diff(y(x),x)^2+f2(x)*y(x)*diff(y(x),x)+f3(x)*y(x)^2=0,y(x))
 

, result contains DESol or ODESolStruc

y(x)=(e_b(_a)d_a+c1)&where[{dd_a_b(_a)=(f1(_a)+f0(_a))_b(_a)2f0(_a)f2(_a)_b(_a)f0(_a)f3(_a)f0(_a)},{_a=x,_b(_a)=ddxy(x)y(x)},{x=_a,y(x)=e_b(_a)d_a+c1}]