\[ (3 x+1) y'(x)^2-3 (y(x)+2) y'(x)+9=0 \] ✓ Mathematica : cpu = 0.486341 (sec), leaf count = 150
\[\left \{\left \{y(x)\to -\frac {\sqrt {\left (\sinh \left (2 c_1\right )+\cosh \left (2 c_1\right )\right ) \left ((3 x-34) \cosh \left (\frac {c_1}{2}\right )-3 (x-12) \sinh \left (\frac {c_1}{2}\right )\right ){}^2}+8 \sinh \left (c_1\right )+8 \cosh \left (c_1\right )-18 x-294}{\sinh \left (c_1\right )+\cosh \left (c_1\right )-36}\right \},\left \{y(x)\to \frac {\sqrt {\left (\sinh \left (2 c_1\right )+\cosh \left (2 c_1\right )\right ) \left ((3 x-34) \cosh \left (\frac {c_1}{2}\right )-3 (x-12) \sinh \left (\frac {c_1}{2}\right )\right ){}^2}-8 \sinh \left (c_1\right )-8 \cosh \left (c_1\right )+18 x+294}{\sinh \left (c_1\right )+\cosh \left (c_1\right )-36}\right \}\right \}\]
✓ Maple : cpu = 0.084 (sec), leaf count = 51
\[ \left \{ y \left ( x \right ) ={\frac {9+ \left ( 3\,x+1 \right ) {{\it \_C1}}^{2}-6\,{\it \_C1}}{3\,{\it \_C1}}},y \left ( x \right ) =-2-2\,\sqrt {3\,x+1},y \left ( x \right ) =-2+2\,\sqrt {3\,x+1} \right \} \]