ODE
\[ f\left (x,y'(x)\right )=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Dependent variable missing
Mathematica ✓
cpu = 0.294467 (sec), leaf count = 21
\[\left \{\left \{y(x)\to \int _1^x \text {InverseFunction}[f,2,2][K[1],0] \, dK[1]+c_1\right \}\right \}\]
Maple ✓
cpu = 0.009 (sec), leaf count = 12
\[ \left \{ y \left ( x \right ) =\int \!{\it RootOf} \left ( f \left ( x,{\it \_Z} \right ) \right ) \,{\rm d}x+{\it \_C1} \right \} \] Mathematica raw input
DSolve[f[x, y'[x]] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + Integrate[InverseFunction[f, 2, 2][K[1], 0], {K[1], 1, x}]}}
Maple raw input
dsolve(f(x,diff(y(x),x)) = 0, y(x),'implicit')
Maple raw output
y(x) = Int(RootOf(f(x,_Z)),x)+_C1