6.7   ODE No. 1540

$$\boxed{{\displaystyle \mathit{d}\mathit{4}\mathit{y}\left(x\right)+a(bx-1)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+ab\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)+\lambda y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.429555 (sec), leaf count = 67 $$\text{left {left {y(x)to text {DifferentialRoot}left ({unicode {f818},unicode {f817}}unicode {f4a1}left {lambda unicode {f818}(unicode {f817})+a b unicode {f818}'(unicode {f817})+a (unicode {f817} b-1) unicode {f818}''(unicode {f817})+unicode {f818}^{(4)}(unicode {f817})=0,unicode {f818}(0)=c\_1,unicode {f818}'(0)=c\_2,unicode {f818}''(0)=c\_3,unicode {f818}^{(3)}(0)=c\_4right }right )(x)right }right }}$$

Maple: cpu = 0.094 (sec), leaf count = 44 $$\{y\left(x\right)=\mathit{D}\mathit{E}\mathit{S}\mathit{o}\mathit{l}(\{\lambda \mathit{\_}\mathit{Y}\left(x\right)+ab\frac{\mathrm{d}}{\mathrm{d}x}\mathit{\_}\mathit{Y}\left(x\right)+a(bx-1)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}\mathit{\_}\mathit{Y}\left(x\right)+\frac{{\mathrm{d}}^4}{\mathrm{d}{x}^4}\mathit{\_}\mathit{Y}\left(x\right)\},\left\{\mathit{\_}\mathit{Y}\left(x\right)\right\})\}$$