2.1289   ODE No. 1289

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

\[ 16 x^2 y''(x)+32 x y'(x)+(-4 x-5) y(x)=0 \] Mathematica : cpu = 0.125415 (sec), leaf count = 53

\[\left \{\left \{y(x)\to \frac {c_2 e^{-\sqrt {x}} \left (\sqrt {x}+1\right )}{x^{5/4}}-\frac {c_1 e^{\sqrt {x}} \left (\sqrt {x}-1\right )}{x^{5/4}}\right \}\right \}\] Maple : cpu = 0.111 (sec), leaf count = 33

\[\left \{y \left (x \right ) = \frac {c_{1} \left (\sqrt {x}-1\right ) {\mathrm e}^{\sqrt {x}}+c_{2} \left (\sqrt {x}+1\right ) {\mathrm e}^{-\sqrt {x}}}{x^{\frac {5}{4}}}\right \}\]