2.1442   ODE No. 1442

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

\[ y''(x)=\frac {y(x)}{f(x)}-\frac {x y'(x)}{f(x)} \] Mathematica : cpu = 0.208023 (sec), leaf count = 0 , could not solve

DSolve[Derivative[2][y][x] == y[x]/f[x] - (x*Derivative[1][y][x])/f[x], y[x], x]

Maple : cpu = 0.088 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\int \!{{\rm e}^{\int \!{\frac {1}{x} \left ( -2-{\frac {{x}^{2}}{f \left ( x \right ) }} \right ) }\,{\rm d}x}}\,{\rm d}xx+{\it \_C2}\,x \right \} \]