4.62   ODE No. 1062

\[ \boxed { {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -{\frac {{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) }{\sqrt {x}}}+1/4\,{\frac { \left ( x+\sqrt {x}-8 \right ) y \left ( x \right ) }{{x}^{2}}}=0} \]

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

Mathematica: cpu = 0.028004 (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 = 0.015 (sec), leaf count = 23 \[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{x}{{\rm e}^{\sqrt {x} }}}+{\it \_C2}\,{{\rm e}^{\sqrt {x}}}{x}^{2} \right \} \]