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 = 0.119682 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {c_1 e^{-2 x} (2 x+3)}{2 x^2}+\frac {c_2 \left (2 x^2-4 x+3\right )}{4 x^2}\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 34

\[\left \{y \left (x \right ) = \frac {c_{2} \left (2 x +3\right ) {\mathrm e}^{-2 x}}{x^{2}}+\frac {c_{1} \left (2 x^{2}-4 x +3\right )}{x^{2}}\right \}\]