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 = 0.0279866 (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 = 0.033 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\frac {1}{x} \left ( {\it \_C2}\,\cosh \left ( \sqrt {-a}x \right ) +{\it \_C1}\,\sinh \left ( \sqrt {-a}x \right ) \right ) } \right \} \]