2.170   ODE No. 170

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

\[ x^3 y'(x)-x^4-y(x)^2=0 \] Mathematica : cpu = 0.0747732 (sec), leaf count = 43

\[\left \{\left \{y(x)\to -\frac {x^3 \left (\frac {1}{x^2}-\frac {\log (x)}{x^2}-\frac {c_1}{x^2}\right )}{\frac {\log (x)}{x}+\frac {c_1}{x}}\right \}\right \}\] Maple : cpu = 0.014 (sec), leaf count = 23

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