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 = 0.393446 (sec), leaf count = 40

\[\left \{\left \{y(x)\to \frac {12 x+196-28 e^{\frac {c_1}{2}}+e^{c_1}}{2 \left (-12+e^{\frac {c_1}{2}}\right )}\right \}\right \}\] Maple : cpu = 0.029 (sec), leaf count = 51

\[ \left \{ y \left ( x \right ) ={\frac {9+ \left ( 3\,x+1 \right ) {{\it \_C1}}^{2}-6\,{\it \_C1}}{3\,{\it \_C1}}},y \left ( x \right ) =-2-2\,\sqrt {3\,x+1},y \left ( x \right ) =-2+2\,\sqrt {3\,x+1} \right \} \]