6.3   ODE No. 1536

$$\boxed{{\displaystyle \mathit{d}\mathit{4}\mathit{y}\left(x\right)+\lambda y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.004000 (sec), leaf count = 76 $$\left\{\{y(x)\to c_1{e}^{(-1{)}^{3/4}\sqrt[4]{\lambda }x}+c_2{e}^{-\sqrt[4]{-1}\sqrt[4]{\lambda }x}+c_3{e}^{-(-1{)}^{3/4}\sqrt[4]{\lambda }x}+c_4{e}^{\sqrt[4]{-1}\sqrt[4]{\lambda }x}\}\right\}$$

Maple: cpu = 0.109 (sec), leaf count = 50 $$\{y\left(x\right)=\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{-i\sqrt[4]{-\lambda }x}+\mathit{\_}\mathit{C}\mathit{2}{\mathrm{e}}^{-\sqrt[4]{-\lambda }x}+\mathit{\_}\mathit{C}\mathit{3}{\mathrm{e}}^{i\sqrt[4]{-\lambda }x}+\mathit{\_}\mathit{C}\mathit{4}{\mathrm{e}}^{\sqrt[4]{-\lambda }x}\}$$