ODE No. 1236

$$f(x)y(x)+(x^2-1)y^{″}(x)+x{y}^{\prime }(x)=0$$ ✗ Mathematica : cpu = 0.437619 (sec), leaf count = 0

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

, could not solve

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

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

dsolve((x^2-1)*diff(diff(y(x),x),x)+x*diff(y(x),x)+f(x)*y(x)=0,y(x))
 

, result contains DESol or ODESolStruc

$$y\left(x\right)=\mathit{DESol}(\{\frac{f\left(x\right)\mathit{\text{\_Y}}\left(x\right)}{x^2-1}+\frac{x\left(\frac{d}{dx}\mathit{\text{\_Y}}\left(x\right)\right)}{x^2-1}+\frac{d^2}{d{x}^2}\mathit{\text{\_Y}}\left(x\right)\},\left\{\mathit{\text{\_Y}}\left(x\right)\right\})$$