ODE No. 1768

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

\[ x (y(x)+x) y''(x)+x y'(x)^2+(x-y(x)) y'(x)-y(x)=0 \] Mathematica : cpu = 0.117433 (sec), leaf count = 87

\[\left \{\left \{y(x)\to -x-\sqrt {-e^{2 c_2} x^2-2 i c_1 x^2+e^{2 c_2}+x^2}\right \},\left \{y(x)\to -x+\sqrt {-e^{2 c_2} x^2-2 i c_1 x^2+e^{2 c_2}+x^2}\right \}\right \}\] Maple : cpu = 0.067 (sec), leaf count = 43

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