2.1539   ODE No. 1539

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

$$a^4\lambda y(x)+a^2(\lambda +1)y^{″}(x)+y^{(4)}(x)=0$$ ✓ Mathematica : cpu = 0.00763034 (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 = 0.029 (sec), leaf count = 35

$$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}\sin \left(ax\right)+\mathit{\_}\mathit{C}\mathit{2}\cos \left(ax\right)+\mathit{\_}\mathit{C}\mathit{3}\sin \left(a\sqrt{\lambda }x\right)+\mathit{\_}\mathit{C}\mathit{4}\cos \left(a\sqrt{\lambda }x\right)\}$$