2.1062   ODE No. 1062

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

\[ \frac {\left (x+\sqrt {x}-8\right ) y(x)}{4 x^2}+y''(x)-\frac {y'(x)}{\sqrt {x}}=0 \] Mathematica : cpu = 0.0211938 (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 = 0.023 (sec), leaf count = 19

\[\left \{y \left (x \right ) = \frac {\left (c_{2} x^{3}+c_{1}\right ) {\mathrm e}^{\sqrt {x}}}{x}\right \}\]