2.1346   ODE No. 1346

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

\[ y''(x)=\frac {(a+b) y'(x)}{x^2}-\frac {y(x) (x (a+b)+a b)}{x^4} \] Mathematica : cpu = 0.325209 (sec), leaf count = 87

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

Maple : cpu = 0.054 (sec), leaf count = 25

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