8.72   ODE No. 1662

\[ \boxed { a{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) +h \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) +cy \left ( x \right ) =0} \]

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

Mathematica: cpu = 1.537195 (sec), leaf count = 22 \[ \text {DSolve}\left [a y''(x)+c y(x)+h\left (y'(x)\right )=0,y(x),x\right ] \]

Maple: cpu = 0.266 (sec), leaf count = 56 \[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {\it \_a},[ \left \{ \left ( {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( { \it \_a} \right ) \right ) {\it \_b} \left ( {\it \_a} \right ) +{\frac { h \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) +c{\it \_a}}{a}}=0 \right \} , \left \{ {\it \_a}=y \left ( x \right ) ,{\it \_b} \left ( { \it \_a} \right ) ={\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right \} , \left \{ x=\int \! \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{-1}\,{\rm d}{\it \_a}+{\it \_C1},y \left ( x \right ) ={\it \_a} \right \} ] \right ) \right \} \]