2.1279   ODE No. 1279

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

\[ 4 x^2 y''(x)+5 x y'(x)-y(x)-\log (x)=0 \] Mathematica : cpu = 0.178292 (sec), leaf count = 45

\[\left \{\left \{y(x)\to c_1 x^{\frac {1}{8} \left (\sqrt {17}-1\right )}+c_2 x^{-\frac {1}{8}-\frac {\sqrt {17}}{8}}-\log (x)-1\right \}\right \}\]

Maple : cpu = 0.167 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) ={x}^{-{\frac {1}{8}}+{\frac {\sqrt {17}}{8}}}{\it \_C2}+{x}^{-{\frac {1}{8}}-{\frac {\sqrt {17}}{8}}}{\it \_C1}-\ln \left ( x \right ) -1 \right \} \]