ODE No. 1031

$$y^{″}(x)-f(x)y(x)=0$$ ✗ Mathematica : cpu = 0.116518 (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

$$y\left(x\right)=\mathit{DESol}(\{-f\left(x\right)\mathit{\text{\_Y}}\left(x\right)+\frac{d^2}{d{x}^2}\mathit{\text{\_Y}}\left(x\right)\},\left\{\mathit{\text{\_Y}}\left(x\right)\right\})$$