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 = 0.124577 (sec), leaf count = 44

\[\text {Solve}\left [\left \{\text {K$\$$5280784} n x=\text {K$\$$5280784}^n x^{n-1}+y(x),x=c_1 (\text {K$\$$5280784}-\text {K$\$$5280784} n)^{\frac {n}{1-n}}\right \},\{y(x),\text {K$\$$5280784}\}\right ]\]

Maple : cpu = 0.438 (sec), leaf count = 32

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