2.373   ODE No. 373

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

$$a^{2}y(x{)}^2({\log }^2(y(x))-1)+y^{\prime }(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0966512 (sec), leaf count = 71

$$\{\{y(x)\to e^{\frac{1}{2}(e^{-c_1+iax}+e^{c_1-iax})}\},\{y(x)\to \exp \left(\frac{1}{2}(e^{-c_1-iax}+e^{c_1+iax})\right)\}\}$$

✓ Maple : cpu = 0.267 (sec), leaf count = 47

$$\{y\left(x\right)={\left({\mathrm{e}}^{\sin (\mathit{\_}\mathit{C}\mathit{1}a-ax)}\right)}^{-1},y\left(x\right)={\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}\left(a^2{\left({\mathrm{e}}^{\mathit{\_}\mathit{Z}}\right)}^2({\mathit{\_}\mathit{Z}}^2-1)\right)},y\left(x\right)={\mathrm{e}}^{\sin (\mathit{\_}\mathit{C}\mathit{1}a-ax)}\}$$