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 = 0.979917 (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 = 0.464 (sec), leaf count = 56

\[\left \{y \left (x \right ) = \mathit {ODESolStruc} \left (\textit {\_a} , \left [\left \{\textit {\_}b\left (\textit {\_a} \right ) \left (\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )\right )+\frac {\textit {\_a} c +h \left (\textit {\_}b\left (\textit {\_a} \right )\right )}{a}=0\right \}, \left \{\textit {\_a} =y \left (x \right ), \textit {\_}b\left (\textit {\_a} \right )=\frac {d}{d x}y \left (x \right )\right \}, \left \{x =c_{1}+\int \frac {1}{\textit {\_}b\left (\textit {\_a} \right )}d \textit {\_a} , y \left (x \right )=\textit {\_a} \right \}\right ]\right )\right \}\]