2.1201   ODE No. 1201

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

\[ x^2 y''(x)+(2 x+1) x y'(x)-4 y(x)=0 \] Mathematica : cpu = 0.0559455 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {e^{-2 x} \left (c_2 e^{2 x} \left (2 x^2-4 x+3\right )+c_1 (4 x+6)\right )}{4 x^2}\right \}\right \}\]

Maple : cpu = 0.02 (sec), leaf count = 34

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\, \left ( 2\,{x}^{2}-4\,x+3 \right ) }{{x}^{2}}}+{\frac {{\it \_C2}\,{{\rm e}^{-2\,x}} \left ( 2\,x+3 \right ) }{{x}^{2}}} \right \} \]