2.333   ODE No. 333

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

\[ -x^{3/2} y(x)^{5/2}+\left (2 x^{5/2} y(x)^{3/2}+x^2 y(x)-x\right ) y'(x)+x y(x)^2-y(x)=0 \] Mathematica : cpu = 0.350317 (sec), leaf count = 53

\[\text {Solve}\left [\frac {\sqrt {x y(x)} \left (-3 x^{3/2} y(x)^{3/2} (\log (x)-2 \log (y(x)))-6 x y(x)+2\right )}{3 x^2 y(x)^2}=c_1,y(x)\right ]\]

Maple : cpu = 0.102 (sec), leaf count = 32

\[ \left \{ \ln \left ( y \left ( x \right ) \right ) -{1{\frac {1}{\sqrt {x}}}{\frac {1}{\sqrt {y \left ( x \right ) }}}}+{\frac {1}{3} \left ( y \left ( x \right ) \right ) ^{-{\frac {3}{2}}}{x}^{-{\frac {3}{2}}}}-{\frac {\ln \left ( x \right ) }{2}}-{\it \_C1}=0 \right \} \]