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 = 0.0208696 (sec), leaf count = 28

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

Maple : cpu = 0.044 (sec), leaf count = 19

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