ODE
\[ y'(x)^2-7 y'(x)+12=0 \] ODE Classification
[_quadrature]
Book solution method
Missing Variables ODE, Both independent and dependent variable missing
Mathematica ✓
cpu = 0.163918 (sec), leaf count = 21
\[\{\{y(x)\to 3 x+c_1\},\{y(x)\to 4 x+c_1\}\}\]
Maple ✓
cpu = 0.01 (sec), leaf count = 17
\[[y \left (x \right ) = 4 x +\textit {\_C1}, y \left (x \right ) = 3 x +\textit {\_C1}]\] Mathematica raw input
DSolve[12 - 7*y'[x] + y'[x]^2 == 0,y[x],x]
Mathematica raw output
{{y[x] -> 3*x + C[1]}, {y[x] -> 4*x + C[1]}}
Maple raw input
dsolve(diff(y(x),x)^2-7*diff(y(x),x)+12 = 0, y(x))
Maple raw output
[y(x) = 4*x+_C1, y(x) = 3*x+_C1]