6.6   ODE No. 1539

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

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

Mathematica: cpu = 0.007001 (sec), leaf count = 44 $$\left\{\{y(x)\to c_2\sin \left(a\sqrt{\lambda }x\right)+c_1\cos \left(a\sqrt{\lambda }x\right)+c_4\sin (ax)+c_3\cos (ax)\}\right\}$$

Maple: cpu = 0.015 (sec), leaf count = 35 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sin \left(ax\right)+\mathit{\_}\mathit{C}\mathit{2}\cos \left(ax\right)+\mathit{\_}\mathit{C}\mathit{3}\sin \left(a\sqrt{\lambda }x\right)+\mathit{\_}\mathit{C}\mathit{4}\cos \left(a\sqrt{\lambda }x\right)\}$$