2.1305   ODE No. 1305

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

\[ x^3 y''(x)+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0769424 (sec), leaf count = 47

\[\left \{\left \{y(x)\to c_2 G_{1,2}^{2,0}\left (-\frac {2}{x}|\begin {array}{c} \frac {1}{2} \\ -1,0 \\\end {array}\right )+c_1 e^{\frac {1}{x}} \left (I_0\left (\frac {1}{x}\right )-I_1\left (\frac {1}{x}\right )\right )\right \}\right \}\] Maple : cpu = 0.124 (sec), leaf count = 44

\[ \left \{ y \left ( x \right ) = \left ( {\it \_C2}\,{{\sl K}_{1}\left (-{x}^{-1}\right )}-{\it \_C2}\,{{\sl K}_{0}\left (-{x}^{-1}\right )}+{\it \_C1}\, \left ( {{\sl I}_{0}\left ({x}^{-1}\right )}-{{\sl I}_{1}\left ({x}^{-1}\right )} \right ) \right ) {{\rm e}^{{x}^{-1}}} \right \} \]