ODE
\[ f\left (x,y'(x)\right )=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Dependent variable missing
Mathematica ✓
cpu = 0.160056 (sec), leaf count = 22
\[\left \{\left \{y(x)\to \int _1^x\text {InverseFunction}[f,2,2][K[1],0]dK[1]+c_1\right \}\right \}\]
Maple ✓
cpu = 0.073 (sec), leaf count = 12
\[[y \left (x \right ) = \int \RootOf \left (f \left (x , \textit {\_Z}\right )\right )d x +\textit {\_C1}]\] Mathematica raw input
DSolve[f[x, y'[x]] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1] + Inactive[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))
Maple raw output
[y(x) = Int(RootOf(f(x,_Z)),x)+_C1]