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 = 0.0384542 (sec), leaf count = 34

\[\left \{\left \{y(x)\to \frac {1}{2} e^{(x-1) x} \left (c_2 e^{2 x}+2 c_1-2 e^x\right )\right \}\right \}\]

Maple : cpu = 0.037 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={{\rm e}^{x \left ( 1+x \right ) }}{\it \_C2}+{{\rm e}^{x \left ( x-1 \right ) }}{\it \_C1}-{{\rm e}^{{x}^{2}}} \right \} \]