2.1768   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 = 0.115471 (sec), leaf count = 79

\[\left \{\left \{y(x)\to -x-\sqrt {-e^{2 c_2} \left (x^2-1\right )+\left (1-2 i c_1\right ) x^2}\right \},\left \{y(x)\to -x+\sqrt {-e^{2 c_2} \left (x^2-1\right )+\left (1-2 i c_1\right ) x^2}\right \}\right \}\]

Maple : cpu = 0.058 (sec), leaf count = 43

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