\[ (3 x+5) y'(x)^2-(3 y(x)+x) y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.80716 (sec), leaf count = 479
\[\left \{\left \{y(x)\to \frac {-\sqrt {5} \sqrt {-144 e^{\frac {4 c_1}{3}} x^2-360 e^{\frac {4 c_1}{3}} x+24 e^{\frac {8 c_1}{3}} x-225 e^{\frac {4 c_1}{3}}+30 e^{\frac {8 c_1}{3}}-e^{4 c_1}}+6 e^{\frac {4 c_1}{3}} x+15 e^{\frac {4 c_1}{3}}-30 x-25}{18 \left (e^{\frac {4 c_1}{3}}+5\right )}\right \},\left \{y(x)\to \frac {\sqrt {5} \sqrt {-144 e^{\frac {4 c_1}{3}} x^2-360 e^{\frac {4 c_1}{3}} x+24 e^{\frac {8 c_1}{3}} x-225 e^{\frac {4 c_1}{3}}+30 e^{\frac {8 c_1}{3}}-e^{4 c_1}}+6 e^{\frac {4 c_1}{3}} x+15 e^{\frac {4 c_1}{3}}-30 x-25}{18 \left (e^{\frac {4 c_1}{3}}+5\right )}\right \},\left \{y(x)\to \frac {-\sqrt {5} \sqrt {144 e^{\frac {4 c_1}{3}} x^2+360 e^{\frac {4 c_1}{3}} x+24 e^{\frac {8 c_1}{3}} x+225 e^{\frac {4 c_1}{3}}+30 e^{\frac {8 c_1}{3}}+e^{4 c_1}}+6 e^{\frac {4 c_1}{3}} x+15 e^{\frac {4 c_1}{3}}+30 x+25}{18 \left (e^{\frac {4 c_1}{3}}-5\right )}\right \},\left \{y(x)\to \frac {\sqrt {5} \sqrt {144 e^{\frac {4 c_1}{3}} x^2+360 e^{\frac {4 c_1}{3}} x+24 e^{\frac {8 c_1}{3}} x+225 e^{\frac {4 c_1}{3}}+30 e^{\frac {8 c_1}{3}}+e^{4 c_1}}+6 e^{\frac {4 c_1}{3}} x+15 e^{\frac {4 c_1}{3}}+30 x+25}{18 \left (e^{\frac {4 c_1}{3}}-5\right )}\right \}\right \}\] ✓ Maple : cpu = 0.155 (sec), leaf count = 60
\[ \left \{ y \left ( x \right ) ={\frac { \left ( 3\,x+5 \right ) {{\it \_C1}}^{2}-{\it \_C1}\,x}{3\,{\it \_C1}-1}},y \left ( x \right ) ={\frac {x}{3}}+{\frac {10}{9}}-{\frac {2}{9}\sqrt {15\,x+25}},y \left ( x \right ) ={\frac {x}{3}}+{\frac {10}{9}}+{\frac {2}{9}\sqrt {15\,x+25}} \right \} \]