2.1212   ODE No. 1212

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

$$x(a{x}^2+b)y^{\prime }(x)+f(x)y(x)+x^2{y}^{″}(x)=0$$ ✗ Mathematica : cpu = 0.444982 (sec), leaf count = 0 , could not solve

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

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

$$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{f\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)}{x^2}+\frac{(a{x}^2+b)\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)}{x}+\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$