2.1825   ODE No. 1825

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

\[ f(x)+y''(x) h\left (y'(x)\right )+j(y(x)) y'(x)=0 \] Mathematica : cpu = 0.0279592 (sec), leaf count = 0 , could not solve

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

Maple : cpu = 1.146 (sec), leaf count = 49

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