2.1629   ODE No. 1629

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

\[ (f(x)+3 y(x)) y'(x)+f(x) y(x)^2+y''(x)+y(x)^3=0 \] Mathematica : cpu = 0.0222855 (sec), leaf count = 0 , could not solve

DSolve[f[x]*y[x]^2 + y[x]^3 + (f[x] + 3*y[x])*Derivative[1][y][x] + Derivative[2][y][x] == 0, y[x], x]

Maple : cpu = 0.173 (sec), leaf count = 38

\[ \left \{ y \left ( x \right ) ={\frac {\int \!{\it \_C1}\,{{\rm e}^{-\int \!f \left ( x \right ) \,{\rm d}x}}\,{\rm d}x+{\it \_C2}}{\int \!\!\!\int \!{\it \_C1}\,{{\rm e}^{-\int \!f \left ( x \right ) \,{\rm d}x}}\,{\rm d}x\,{\rm d}x+{\it \_C2}\,x+1}} \right \} \]