2.1062   ODE No. 1062

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

\[ \frac {\left (x+\sqrt {x}-8\right ) y(x)}{4 x^2}-\frac {y'(x)}{\sqrt {x}}+y''(x)=0 \] Mathematica : cpu = 0.0245062 (sec), leaf count = 35

\[\left \{\left \{y(x)\to \frac {1}{3} c_2 e^{\sqrt {x}} x^2+\frac {c_1 e^{\sqrt {x}}}{x}\right \}\right \}\] Maple : cpu = 0.047 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}\,{x}^{3}+{\it \_C1}}{x}{{\rm e}^{\sqrt {x}}}} \right \} \]