2.170   ODE No. 170

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

\[ -x^4+x^3 y'(x)-y(x)^2=0 \] Mathematica : cpu = 0.0229875 (sec), leaf count = 43

\[\left \{\left \{y(x)\to -\frac {x^3 \left (-\frac {c_1}{x^2}+\frac {1}{x^2}-\frac {\log (x)}{x^2}\right )}{\frac {c_1}{x}+\frac {\log (x)}{x}}\right \}\right \}\]

Maple : cpu = 0.018 (sec), leaf count = 23

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