2.1051   ODE No. 1051

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

\[ \left (4 x^2-3\right ) y(x)-e^{x^2}+y''(x)-4 x y'(x)=0 \] Mathematica : cpu = 0.0231736 (sec), leaf count = 44

\[\left \{\left \{y(x)\to -e^{(x-1) x+x}+c_1 e^{(x-1) x}+\frac {1}{2} c_2 e^{(x-1) x+2 x}\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 27

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