2.464   ODE No. 464

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

\[ y(x) y'(x)^2+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.106651 (sec), leaf count = 52

\[\left \{\left \{y(x)\to -e^{\frac {c_1}{2}} \sqrt {-2 x+e^{c_1}}\right \},\left \{y(x)\to e^{\frac {c_1}{2}} \sqrt {-2 x+e^{c_1}}\right \}\right \}\] Maple : cpu = 0.706 (sec), leaf count = 70

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