2.554   ODE No. 554

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

\[ x^{n-1} y'(x)^n-n x y'(x)+y(x)=0 \] Mathematica : cpu = 0.395223 (sec), leaf count = 49

\[\text {Solve}\left [\left \{y(x)=\frac {\text {K$\$$490026} n x^2-\text {K$\$$490026}^n x^n}{x},x=c_1 (\text {K$\$$490026}-\text {K$\$$490026} n)^{\frac {n}{1-n}}\right \},\{y(x),\text {K$\$$490026}\}\right ]\]

Maple : cpu = 0.369 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt [n]{{\frac {x}{{\it \_C1}}}}n-{\frac { \left ( {{\it \_C1}}^{-1} \right ) ^{-n}}{{\it \_C1}}} \right \} \]