2.1626   ODE No. 1626

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

\[ y(x) f'(x)+f(x) y'(x)+y''(x)+2 y(x) y'(x)=0 \] Mathematica : cpu = 34.0795 (sec), leaf count = 0 , could not solve

DSolve[y[x]*Derivative[1][f][x] + f[x]*Derivative[1][y][x] + 2*y[x]*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0.283 (sec), leaf count = 48

\[\{y \left (x \right ) = \mathit {ODESolStruc} \left (\textit {\_}b\left (\textit {\_a} \right ), \left [\left \{\frac {d}{d \textit {\_a}}\mathrm {\_}\mathrm {b}\left (\textit {\_a} \right )=-\textit {\_}b\left (\textit {\_a} \right )^{2}-\textit {\_}b\left (\textit {\_a} \right ) f \left (\textit {\_a} \right )-c_{1}\right \}, \left \{\textit {\_a} =x , \textit {\_}b\left (\textit {\_a} \right )=y \left (x \right )\right \}, \left \{x =\textit {\_a} , y \left (x \right )=\textit {\_}b\left (\textit {\_a} \right )\right \}\right ]\right )\}\]