2.369   ODE No. 369

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

$$-a^2+y^{\prime }(x{)}^2+y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0581839 (sec), leaf count = 107

$$\{\{y(x)\to -\frac{a\tan (x-c_1)}{\sqrt{{\tan }^2(x-c_1)+1}}\},\{y(x)\to \frac{a\tan (x-c_1)}{\sqrt{{\tan }^2(x-c_1)+1}}\},\{y(x)\to -\frac{a\tan (c_1+x)}{\sqrt{{\tan }^2(c_1+x)+1}}\},\{y(x)\to \frac{a\tan (c_1+x)}{\sqrt{{\tan }^2(c_1+x)+1}}\}\}$$ ✓ Maple : cpu = 0.098 (sec), leaf count = 68

$$\{y\left(x\right)=a,y\left(x\right)=\tan (-x+\mathit{\_}\mathit{C}\mathit{1})\sqrt{\frac{a^2}{{(\tan (-x+\mathit{\_}\mathit{C}\mathit{1}))}^2+1}},y\left(x\right)=-a,y\left(x\right)=-\tan (-x+\mathit{\_}\mathit{C}\mathit{1})\sqrt{\frac{a^2}{{(\tan (-x+\mathit{\_}\mathit{C}\mathit{1}))}^2+1}}\}$$