2.1159   ODE No. 1159

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

\[ -a x^2+x^2 y''(x)+x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0174398 (sec), leaf count = 41

\[\left \{\left \{y(x)\to \frac {2 a x^3+3 \left (c_1 \left (x^2+1\right )+i c_2 \left (x^2-1\right )\right )}{6 x}\right \}\right \}\]

Maple : cpu = 0.016 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) =x{\it \_C2}+{\frac {a{x}^{2}}{3}}+{\frac {{\it \_C1}}{x}} \right \} \]