2.426   ODE No. 426

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

\[ (3 x+1) y'(x)^2-3 (y(x)+2) y'(x)+9=0 \] Mathematica : cpu = 0.0047 (sec), leaf count = 28

\[\left \{\left \{y(x)\to c_1 x+\frac {9+c_1{}^2-6 c_1}{3 c_1}\right \}\right \}\] Maple : cpu = 0.043 (sec), leaf count = 51

\[\left \{y \left (x \right ) = \frac {\left (3 x +1\right ) c_{1}^{2}-6 c_{1}+9}{3 c_{1}}, y \left (x \right ) = -2-2 \sqrt {3 x +1}, y \left (x \right ) = -2+2 \sqrt {3 x +1}\right \}\]