4.278   ODE No. 1278

$$\boxed{{\displaystyle 4x^2\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+4x\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+f\left(x\right)y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.268034 (sec), leaf count = 28 $$\text{DSolve}[f(x)y(x)+4x^2{y}^{″}(x)+4x{y}^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 0.0 (sec), leaf count = 33 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\frac{f\left(x\right)\mathit{\_}\mathit{Y}\left(x\right)}{4x^2}+\frac{\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)}{x}+\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$