ODE
\[ f\left (y'(x)\right )=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Both independent and dependent variable missing
Mathematica ✓
cpu = 0.360754 (sec), leaf count = 15
\[\left \{\left \{y(x)\to f^{(-1)}(0) x+c_1\right \}\right \}\]
Maple ✓
cpu = 0.015 (sec), leaf count = 11
\[[y \left (x \right ) = \RootOf \left (f \left (\textit {\_Z} \right )\right ) x +\textit {\_C1}]\] 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))
Maple raw output
[y(x) = RootOf(f(_Z))*x+_C1]