2.1352   ODE No. 1352

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

\[ y''(x)=-\frac {2 (a+x) y'(x)}{x^2}-\frac {b y(x)}{x^4} \] Mathematica : cpu = 0.0143855 (sec), leaf count = 51

\[\left \{\left \{y(x)\to e^{\frac {a-\sqrt {a^2-b}}{x}} \left (c_1 e^{\frac {2 \sqrt {a^2-b}}{x}}+c_2\right )\right \}\right \}\]

Maple : cpu = 0.061 (sec), leaf count = 43

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{{\rm e}^{{\frac {1}{x} \left ( a-\sqrt {{a}^{2}-b} \right ) }}}+{\it \_C2}\,{{\rm e}^{{\frac {1}{x} \left ( a+\sqrt {{a}^{2}-b} \right ) }}} \right \} \]