2.1102   ODE No. 1102

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

\[ a x^2 y(x)+x y''(x)+2 y'(x)=0 \] Mathematica : cpu = 0.00765077 (sec), leaf count = 42

\[\left \{\left \{y(x)\to \frac {c_1 \text {Ai}\left (-\frac {a x}{(-a)^{2/3}}\right )}{x}+\frac {c_2 \text {Bi}\left (-\frac {a x}{(-a)^{2/3}}\right )}{x}\right \}\right \}\]

Maple : cpu = 0.033 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={1 \left ( {\it \_C2}\,{{\sl Y}_{{\frac {1}{3}}}\left ({\frac {2}{3}\sqrt {a}{x}^{{\frac {3}{2}}}}\right )}+{\it \_C1}\,{{\sl J}_{{\frac {1}{3}}}\left ({\frac {2}{3}\sqrt {a}{x}^{{\frac {3}{2}}}}\right )} \right ) {\frac {1}{\sqrt {x}}}} \right \} \]