2.1125   ODE No. 1125

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

\[ \left (4 x^2-1\right ) y'(x)-4 x^3 y(x)-4 x^5+x y''(x)=0 \] Mathematica : cpu = 0.10728 (sec), leaf count = 84

\[\left \{\left \{y(x)\to -\frac {3 \sqrt {2} x^2+4 x^2+6 \sqrt {2}+8}{\sqrt {2} \left (3+2 \sqrt {2}\right )}+c_1 e^{-\left (1-\sqrt {2}\right ) x^2}+c_2 e^{-\left (1+\sqrt {2}\right ) x^2}\right \}\right \}\] Maple : cpu = 0.064 (sec), leaf count = 36

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