3.568   ODE No. 568

$$\boxed{{\displaystyle {\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2\sin \left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)-y\left(x\right)=0}}$$

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

Mathematica: cpu = 0.036505 (sec), leaf count = 28 $$\text{Solve}[\{x=c_1+\text{K}\mathrm{\$}\text{1487319}\sin (\text{K}\mathrm{\$}\text{1487319})-\cos (\text{K}\mathrm{\$}\text{1487319}),y(x)={\text{K}\mathrm{\$}\text{1487319}}^2\sin (\text{K}\mathrm{\$}\text{1487319})\},\{y(x),\text{K}\mathrm{\$}\text{1487319}\}]$$

Maple: cpu = 0.047 (sec), leaf count = 32 $$\{x-{\int }^{y\left(x\right)}{\left(\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\sin \left(\mathit{\_}\mathit{Z}\right){\mathit{\_}\mathit{Z}}^2-\mathit{\_}\mathit{a})\right)}^{-1}d\mathit{\_}\mathit{a}-\mathit{\_}\mathit{C}\mathit{1}=0,y\left(x\right)=0\}$$