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 = 0.117337 (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 = 0.304 (sec), leaf count = 33

\[ \left \{ y \left ( x \right ) ={ \left ( {\it \_C2}\, \left ( \sqrt {x}+1 \right ) {{\rm e}^{-\sqrt {x}}}+{\it \_C1}\,{{\rm e}^{\sqrt {x}}} \left ( \sqrt {x}-1 \right ) \right ) {x}^{-{\frac {5}{4}}}} \right \} \]