ODE No. 1165

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

\[ (a+x) y'(x)+x^2 y''(x)-y(x)=0 \] Mathematica : cpu = 0.0775915 (sec), leaf count = 26

\[\left \{\left \{y(x)\to \frac {c_2 (a+x)}{a^2}+c_1 x e^{a/x}\right \}\right \}\] Maple : cpu = 0.021 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) = \left ( x+a \right ) {\it \_C1}+{\it \_C2}\,x{{\rm e}^{{\frac {a}{x}}}} \right \} \]