2.427   ODE No. 427

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ (3 x+5) y'(x)^2-(3 y(x)+x) y'(x)+y(x)=0 \] Mathematica : cpu = 0.0053878 (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 = 0.045 (sec), leaf count = 60

\[\left \{y \left (x \right ) = \frac {\left (3 x +5\right ) c_{1}^{2}-c_{1} x}{3 c_{1}-1}, y \left (x \right ) = \frac {x}{3}+\frac {10}{9}-\frac {2 \sqrt {15 x +25}}{9}, y \left (x \right ) = \frac {x}{3}+\frac {10}{9}+\frac {2 \sqrt {15 x +25}}{9}\right \}\]