ODE
\[ y'(x)^2-5 y'(x)+6=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Both independent and dependent variable missing
Mathematica ✓
cpu = 0.00234516 (sec), leaf count = 21
\[\left \{\left \{y(x)\to c_1+2 x\right \},\left \{y(x)\to c_1+3 x\right \}\right \}\]
Maple ✓
cpu = 0.006 (sec), leaf count = 17
\[ \left \{ y \left ( x \right ) =2\,x+{\it \_C1},y \left ( x \right ) =3\,x+{\it \_C1} \right \} \] Mathematica raw input
DSolve[6 - 5*y'[x] + y'[x]^2 == 0,y[x],x]
Mathematica raw output
{{y[x] -> 2*x + C[1]}, {y[x] -> 3*x + C[1]}}
Maple raw input
dsolve(diff(y(x),x)^2-5*diff(y(x),x)+6 = 0, y(x),'implicit')
Maple raw output
y(x) = 3*x+_C1, y(x) = 2*x+_C1