ODE
\[ y'''(x)+y(x) f'(x)+2 f(x) y'(x)=0 \] ODE Classification
(ODEtools/info) missing specification of intermediate function
Book solution method
TO DO
Mathematica ✗
cpu = 0.125296 (sec), leaf count = 0 , could not solve
DSolve[y[x]*Derivative[1][f][x] + 2*f[x]*Derivative[1][y][x] + Derivative[3][y][x] == 0, y[x], x]
Maple ✗
cpu = 0.114 (sec), leaf count = 0 , result contains DESol
\[ \left \{ y \left ( x \right ) = \left ( {\it DESol} \left ( \left \{ {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}{\it \_Y} \left ( x \right ) +{\frac {f \left ( x \right ) {\it \_Y} \left ( x \right ) }{2}} \right \} , \left \{ {\it \_Y} \left ( x \right ) \right \} \right ) \right ) ^{2} \right \} \]
Mathematica raw input
DSolve[y[x]*f'[x] + 2*f[x]*y'[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
DSolve[y[x]*Derivative[1][f][x] + 2*f[x]*Derivative[1][y][x] + Derivative[3][y][x] == 0, y[x], x]
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)+2*f(x)*diff(y(x),x)+diff(f(x),x)*y(x) = 0, y(x),'implicit')
Maple raw output
y(x) = DESol({diff(diff(_Y(x),x),x)+1/2*f(x)*_Y(x)},{_Y(x)})^2