3.173   ODE No. 173

\[ \boxed { {x}^{3}{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -{x}^{6} \left ( y \left ( x \right ) \right ) ^{2}- \left ( 2\,x-3 \right ) {x}^{2}y \left ( x \right ) +3=0} \]

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

Mathematica: cpu = 0.016002 (sec), leaf count = 29 \[ \left \{\left \{y(x)\to \frac {1}{x^3 \left (c_1 e^{4 x}+\frac {1}{4}\right )}-\frac {3}{x^3}\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 27 \[ \left \{ y \left ( x \right ) =-3\,{\frac { \left ( {{\rm e}^{x}} \right ) ^{4}{\it \_C1}+1}{{x}^{3} \left ( \left ( {{\rm e}^{x}} \right ) ^{4}{\it \_C1}-3 \right ) }} \right \} \]