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 = 0.0937589 (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 = 0.016 (sec), leaf count = 23

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