2.1047   ODE No. 1047

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

\[ \left (4 x^2+2\right ) y(x)+y''(x)+4 x y'(x)=0 \] Mathematica : cpu = 0.0147311 (sec), leaf count = 27

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

Maple : cpu = 0.032 (sec), leaf count = 22

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