2.1626   ODE No. 1626

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

\[ y(x) f'(x)+f(x) y'(x)+2 y(x) y'(x)+y''(x)=0 \] Mathematica : cpu = 27.2463 (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 = 0.454 (sec), leaf count = 48

\[ \left \{ y \left ( x \right ) ={\it ODESolStruc} \left ( {\it \_b} \left ( {\it \_a} \right ) ,[ \left \{ {\frac {\rm d}{{\rm d}{\it \_a}}}{\it \_b} \left ( {\it \_a} \right ) =- \left ( {\it \_b} \left ( {\it \_a} \right ) \right ) ^{2}-f \left ( {\it \_a} \right ) {\it \_b} \left ( {\it \_a} \right ) -{\it \_C1} \right \} , \left \{ {\it \_a}=x,{\it \_b} \left ( {\it \_a} \right ) =y \left ( x \right ) \right \} , \left \{ x={\it \_a},y \left ( x \right ) ={\it \_b} \left ( {\it \_a} \right ) \right \} ] \right ) \right \} \]