ODE
\[ y'(x)^3-7 y'(x)+6=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Both independent and dependent variable missing
Mathematica ✓
cpu = 0.15655 (sec), leaf count = 29
\[\{\{y(x)\to -3 x+c_1\},\{y(x)\to x+c_1\},\{y(x)\to 2 x+c_1\}\}\]
Maple ✓
cpu = 0.036 (sec), leaf count = 23
\[[y \left (x \right ) = 2 x +\textit {\_C1}, y \left (x \right ) = x +\textit {\_C1}, y \left (x \right ) = -3 x +\textit {\_C1}]\] Mathematica raw input
DSolve[6 - 7*y'[x] + y'[x]^3 == 0,y[x],x]
Mathematica raw output
{{y[x] -> -3*x + C[1]}, {y[x] -> x + C[1]}, {y[x] -> 2*x + C[1]}}
Maple raw input
dsolve(diff(y(x),x)^3-7*diff(y(x),x)+6 = 0, y(x))
Maple raw output
[y(x) = 2*x+_C1, y(x) = x+_C1, y(x) = -3*x+_C1]