2.1029   ODE No. 1029

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

$$y^{″}(x)-y(x)(f^{\prime }(x)+f(x{)}^2)=0$$ ✗ Mathematica : cpu = 0.118503 (sec), leaf count = 0 , could not solve

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

✓ Maple : cpu = 0.134 (sec), leaf count = 22

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