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 = 0.126223 (sec), leaf count = 49

\[\text {Solve}\left [\left \{y(x)=\frac {\text {K$\$$3193678} n x^2-\text {K$\$$3193678}^n x^n}{x},x=c_1 (\text {K$\$$3193678}-\text {K$\$$3193678} n)^{\frac {n}{1-n}}\right \},\{y(x),\text {K$\$$3193678}\}\right ]\] Maple : cpu = 0.428 (sec), leaf count = 32

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