2.1101   ODE No. 1101

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

\[ a x y(x)+x y''(x)+2 y'(x)=0 \] Mathematica : cpu = 0.0284859 (sec), leaf count = 51

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

Maple : cpu = 0.032 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{x}\sinh \left ( \sqrt {-a}x \right ) }+{\frac {{\it \_C2}}{x}\cosh \left ( \sqrt {-a}x \right ) } \right \} \]