2.427   ODE No. 427

\[ (3 x+5) y'(x)^2-(3 y(x)+x) y'(x)+y(x)=0 \] Mathematica : cpu = 0.0048006 (sec), leaf count = 24


\[\left \{\left \{y(x)\to c_1 x+\frac {5 c_1{}^2}{-1+3 c_1}\right \}\right \}\] Maple : cpu = 0.042 (sec), leaf count = 60


\[y \relax (x ) = \frac {x}{3}+\frac {10}{9}-\frac {2 \sqrt {15 x +25}}{9}\]