2.1623   ODE No. 1623

\[ y(x) \left (f'(x)+2 f(x)^2\right )+(3 f(x)+y(x)) y'(x)+f(x) y(x)^2+y''(x)-y(x)^3=0 \] Mathematica : cpu = 0.127142 (sec), leaf count = 0

DSolve[f[x]*y[x]^2 - y[x]^3 + y[x]*(2*f[x]^2 + Derivative[1][f][x]) + (3*f[x] + y[x])*Derivative[1][y][x] + Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[f[x]*y[x]^2 - y[x]^3 + y[x]*(2*f[x]^2 + Derivative[1][f][x]) + (3*f[x] + y[x])*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

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

dsolve(diff(diff(y(x),x),x)+(y(x)+3*f(x))*diff(y(x),x)-y(x)^3+f(x)*y(x)^2+y(x)*(diff(f(x),x)+2*f(x)^2)=0,y(x))
 

, could not solve

dsolve(diff(diff(y(x),x),x)+(y(x)+3*f(x))*diff(y(x),x)-y(x)^3+f(x)*y(x)^2+y(x)*(diff(f(x),x)+2*f(x)^2)=0,y(x))