2.1160   ODE No. 1160

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

\[ a y(x)+x^2 y''(x)+x y'(x)=0 \] Mathematica : cpu = 0.0124501 (sec), leaf count = 30

\[\left \{\left \{y(x)\to c_1 \cos \left (\sqrt {a} \log (x)\right )+c_2 \sin \left (\sqrt {a} \log (x)\right )\right \}\right \}\] Maple : cpu = 0.017 (sec), leaf count = 23

\[\left \{y \left (x \right ) = c_{1} \sin \left (\sqrt {a}\, \ln \left (x \right )\right )+c_{2} \cos \left (\sqrt {a}\, \ln \left (x \right )\right )\right \}\]