ODE
\[ f\left (y'(x)\right )=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Both independent and dependent variable missing
Mathematica ✓
cpu = 0.33189 (sec), leaf count = 15
\[\left \{\left \{y(x)\to c_1+f^{(-1)}(0) x\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 11
\[ \left \{ y \left ( x \right ) ={\it RootOf} \left ( f \left ( {\it \_Z} \right ) \right ) x+{\it \_C1} \right \} \] Mathematica raw input
DSolve[f[y'[x]] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + x*InverseFunction[f, 1, 1][0]}}
Maple raw input
dsolve(f(diff(y(x),x)) = 0, y(x),'implicit')
Maple raw output
y(x) = RootOf(f(_Z))*x+_C1