3.440   ODE No. 440

\[ \boxed { {x}^{2} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{2}+4\,xy \left ( x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -5\, \left ( y \left ( x \right ) \right ) ^{2}=0} \]

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

Mathematica: cpu = 0.009001 (sec), leaf count = 19 \[ \left \{\left \{y(x)\to \frac {c_1}{x^5}\right \},\left \{y(x)\to c_1 x\right \}\right \} \]

Maple: cpu = 0.0 (sec), leaf count = 15 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{{x}^{5}}},y \left ( x \right ) ={\it \_C1}\,x \right \} \]