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 = 0.0148171 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {a x^2}{3}+\frac {c_1 \left (x^2+1\right )}{2 x}+\frac {i c_2 \left (x^2-1\right )}{2 x}\right \}\right \}\] Maple : cpu = 0.022 (sec), leaf count = 19

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