2.1031   ODE No. 1031

\[ y''(x)-f(x) y(x)=0 \]

✗ Mathematica : cpu = 0.0752583 (sec), leaf count = 0

DSolve[-(f[x]*y[x]) + Derivative[2][y][x] == 0,y[x],x]
 

, could not solve

DSolve[-(f[x]*y[x]) + Derivative[2][y][x] == 0, y[x], x]

✗ Maple : cpu = 0. (sec), leaf count = 0

dsolve(diff(diff(y(x),x),x)-f(x)*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

\[y \left (x \right ) = \operatorname {DESol}\left (\left \{-f \left (x \right ) \textit {\_Y} \left (x \right )+\frac {d^{2}}{d x^{2}}\textit {\_Y} \left (x \right )\right \}, \left \{\textit {\_Y} \left (x \right )\right \}\right )\]