2.1442   ODE No. 1442

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

$$y^{″}(x)=\frac{y(x)}{f(x)}-\frac{x{y}^{\prime }(x)}{f(x)}$$ ✗ 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

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\int {\mathrm{e}}^{\int \frac{1}{x}(-2-\frac{x^2}{f\left(x\right)})\mathrm{d}x}\mathrm{d}xx+\mathit{\_}\mathit{C}\mathit{2}x\}$$