2.328   ODE No. 328

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

\[ a x^2 y(x)^n y'(x)-2 x y'(x)+y(x)=0 \] Mathematica : cpu = 27.9327 (sec), leaf count = 35

\[\text {Solve}\left [\frac {n \left (-\log \left (-a x y(x)^n+n+2\right )-2 \log (y(x))+\log (x)\right )}{n+2}=c_1,y(x)\right ]\]

Maple : cpu = 0.193 (sec), leaf count = 33

\[ \left \{ {\frac { \left ( \left ( y \left ( x \right ) \right ) ^{n}ax-n-2 \right ) ^{n} \left ( \left ( y \left ( x \right ) \right ) ^{n} \right ) ^{2}}{{x}^{n}}}-{\it \_C1}=0 \right \} \]