ODE No. 1671

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

\[ 2 x y''(x)+y'(x)^3+y'(x)=0 \] Mathematica : cpu = 0.0351772 (sec), leaf count = 59

\[\left \{\left \{y(x)\to c_2-2 i e^{c_1} \sqrt {e^{2 c_1}-x}\right \},\left \{y(x)\to c_2+2 i e^{c_1} \sqrt {e^{2 c_1}-x}\right \}\right \}\] Maple : cpu = 0.102 (sec), leaf count = 35

\[ \left \{ y \left ( x \right ) =-2\,{\frac {\sqrt {{\it \_C1}\,x-1}}{{\it \_C1}}}+{\it \_C2},y \left ( x \right ) =2\,{\frac {\sqrt {{\it \_C1}\,x-1}}{{\it \_C1}}}+{\it \_C2} \right \} \]