3.974   ODE No. 974

\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) = \left ( y \left ( x \right ) \right ) ^{3}-3\,{x}^{2} \left ( y \left ( x \right ) \right ) ^{2}+3\,y \left ( x \right ) {x}^{4}-{x}^{6}+2\,x=0} \]

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

Mathematica: cpu = 0.010001 (sec), leaf count = 39 \[ \left \{\left \{y(x)\to x^2-\frac {1}{\sqrt {c_1-2 x}}\right \},\left \{y(x)\to \frac {1}{\sqrt {c_1-2 x}}+x^2\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 57 \[ \left \{ y \left ( x \right ) ={1 \left ( {x}^{2}\sqrt {2\,{\it \_C1}-2\, x}-1 \right ) {\frac {1}{\sqrt {2\,{\it \_C1}-2\,x}}}},y \left ( x \right ) ={1 \left ( {x}^{2}\sqrt {2\,{\it \_C1}-2\,x}+1 \right ) { \frac {1}{\sqrt {2\,{\it \_C1}-2\,x}}}} \right \} \]