2.1671   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 = 0.116508 (sec), leaf count = 59

\[\left \{\left \{y(x)\to c_2-2 i e^{c_1} \sqrt {-x+e^{2 c_1}}\right \},\left \{y(x)\to 2 i e^{c_1} \sqrt {-x+e^{2 c_1}}+c_2\right \}\right \}\] Maple : cpu = 1.225 (sec), leaf count = 35

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