2.1149   ODE No. 1149

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

\[ y(x) (a x+b)+x^2 y''(x)=0 \] Mathematica : cpu = 0.0659617 (sec), leaf count = 95

\[\left \{\left \{y(x)\to \sqrt {a} \sqrt {x} \left (c_1 \Gamma \left (1-\sqrt {1-4 b}\right ) J_{-\sqrt {1-4 b}}\left (2 \sqrt {a} \sqrt {x}\right )+c_2 \Gamma \left (\sqrt {1-4 b}+1\right ) J_{\sqrt {1-4 b}}\left (2 \sqrt {a} \sqrt {x}\right )\right )\right \}\right \}\]

Maple : cpu = 0.014 (sec), leaf count = 45

\[ \left \{ y \left ( x \right ) =\sqrt {x} \left ( {{\sl Y}_{\sqrt {1-4\,b}}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C2}+{{\sl J}_{\sqrt {1-4\,b}}\left (2\,\sqrt {a}\sqrt {x}\right )}{\it \_C1} \right ) \right \} \]