3.371   ODE No. 371

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

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

Mathematica: cpu = 0.026003 (sec), leaf count = 37 \[ \left \{\left \{y(x)\to \tan ^2\left (\frac {1}{2} \left (c_1-x\right )\right )+1\right \},\left \{y(x)\to \tan ^2\left (\frac {1}{2} \left (c_1+x\right )\right )+1\right \}\right \} \]

Maple: cpu = 0.468 (sec), leaf count = 20 \[ \left \{ y \left ( x \right ) =1,y \left ( x \right ) = \left ( \tan \left ( -{\frac {x}{2}}+{\frac {{\it \_C1}}{2}} \right ) \right ) ^{2}+ 1 \right \} \]