2.1281   ODE No. 1281

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

\[ 4 x^2 y''(x)+\left (4 x^2-4 x-1\right ) y(x)-4 (2 x-1) x y'(x)=0 \] Mathematica : cpu = 0.0222828 (sec), leaf count = 21

\[\left \{\left \{y(x)\to \frac {e^x \left (c_2 x+c_1\right )}{\sqrt {x}}\right \}\right \}\]

Maple : cpu = 0.046 (sec), leaf count = 15

\[ \left \{ y \left ( x \right ) ={{{\rm e}^{x}} \left ( x{\it \_C2}+{\it \_C1} \right ) {\frac {1}{\sqrt {x}}}} \right \} \]