2.167   ODE No. 167

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

\[ 3 x^2 y'(x)-x^2-3 x y(x)-7 y(x)^2=0 \] Mathematica : cpu = 0.102134 (sec), leaf count = 35

\[\left \{\left \{y(x)\to \frac {x \tan \left (\frac {1}{3} \left (\sqrt {7} \log (x)+3 \sqrt {7} c_1\right )\right )}{\sqrt {7}}\right \}\right \}\] Maple : cpu = 0.035 (sec), leaf count = 20

\[\left \{y \left (x \right ) = \frac {\sqrt {7}\, x \tan \left (\frac {\left (c_{1}+\ln \left (x \right )\right ) \sqrt {7}}{3}\right )}{7}\right \}\]