2.95   ODE No. 95

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

\[ x^2+x y'(x)+y(x)^2=0 \] Mathematica : cpu = 0.0154936 (sec), leaf count = 32

\[\left \{\left \{y(x)\to \frac {x \left (-c_1 J_1(x)-Y_1(x)\right )}{c_1 J_0(x)+Y_0(x)}\right \}\right \}\]

Maple : cpu = 0.073 (sec), leaf count = 40

\[ \left \{ y \left ( x \right ) =-{\frac {{\it \_C1}\,x{{\sl Y}_{1}\left (x\right )}}{{\it \_C1}\,{{\sl Y}_{0}\left (x\right )}+{{\sl J}_{0}\left (x\right )}}}-{\frac {{{\sl J}_{1}\left (x\right )}x}{{\it \_C1}\,{{\sl Y}_{0}\left (x\right )}+{{\sl J}_{0}\left (x\right )}}} \right \} \]