2.1845   ODE No. 1845

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

\[ 9 y(x)^2 y^{(3)}(x)+40 y'(x)^3-45 y(x) y'(x) y''(x)=0 \] Mathematica : cpu = 0.112587 (sec), leaf count = 22

\[\left \{\left \{y(x)\to \frac {1}{\left (c_3 x^2+c_2 x+c_1\right ){}^{3/2}}\right \}\right \}\] Maple : cpu = 0.652 (sec), leaf count = 22

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