2.172   ODE No. 172

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

\[ x^3 y'(x)+x^4 \left (-y(x)^2\right )+x^2 y(x)+20=0 \] Mathematica : cpu = 0.0767786 (sec), leaf count = 35

\[\left \{\left \{y(x)\to -\frac {5 x^4-\frac {4 c_1}{x^5}}{x \left (x^5+\frac {c_1}{x^4}\right )}\right \}\right \}\] Maple : cpu = 0.201 (sec), leaf count = 26

\[ \left \{ y \left ( x \right ) ={\frac {5\,{x}^{9}+4\,{\it \_C1}}{ \left ( -{x}^{9}+{\it \_C1} \right ) {x}^{2}}} \right \} \]