2.1662   ODE No. 1662

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

\[ a y''(x)+c y(x)+h\left (y'(x)\right )=0 \] Mathematica : cpu = 0.831771 (sec), leaf count = 0 , could not solve

DSolve[h[Derivative[1][y][x]] + c*y[x] + a*Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0.589 (sec), leaf count = 56

\[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {\it \_a},[ \left \{ \left ( {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( {\it \_a} \right ) \right ) {\it \_b} \left ( {\it \_a} \right ) +{\frac {h \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) +c{\it \_a}}{a}}=0 \right \} , \left \{ {\it \_a}=y \left ( x \right ) ,{\it \_b} \left ( {\it \_a} \right ) ={\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right \} , \left \{ x=\int \! \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{-1}\,{\rm d}{\it \_a}+{\it \_C1},y \left ( x \right ) ={\it \_a} \right \} ] \right ) \right \} \]