4.16.29 \(y'(x)^2-5 y'(x)+6=0\)

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

\[ \left \{ y \relax (x ) =2\,x+{\it \_C1},y \relax (x ) =3\,x+{\it \_C1} \right \} \] 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